From 2e7b9197746af031a94a0032d5e77622ec1e09ca Mon Sep 17 00:00:00 2001
From: Christoph Junghans <junghans@votca.org>
Date: Fri, 18 May 2018 15:17:13 -0600
Subject: [PATCH] linalg: update to netlib lapack-3.7.1
---
cmake/CMakeLists.txt | 2 +-
lib/linalg/dasum.f | 42 +-
lib/linalg/daxpy.f | 59 ++-
lib/linalg/dbdsqr.f | 79 ++--
lib/linalg/dcabs1.f | 32 +-
lib/linalg/dcopy.f | 59 ++-
lib/linalg/ddot.f | 53 ++-
lib/linalg/dgebd2.f | 38 +-
lib/linalg/dgebrd.f | 38 +-
lib/linalg/dgecon.f | 36 +-
lib/linalg/dgelq2.f | 36 +-
lib/linalg/dgelqf.f | 36 +-
lib/linalg/dgemm.f | 48 +-
lib/linalg/dgemv.f | 52 +--
lib/linalg/dgeqr2.f | 36 +-
lib/linalg/dgeqrf.f | 36 +-
lib/linalg/dger.f | 28 +-
lib/linalg/dgesv.f | 34 +-
lib/linalg/dgesvd.f | 671 ++++++++++++++--------------
lib/linalg/dgetf2.f | 64 +--
lib/linalg/dgetrf.f | 42 +-
lib/linalg/dgetrf2.f | 272 ++++++++++++
lib/linalg/dgetri.f | 36 +-
lib/linalg/dgetrs.f | 36 +-
lib/linalg/disnan.f | 42 +-
lib/linalg/dlabad.f | 38 +-
lib/linalg/dlabrd.f | 38 +-
lib/linalg/dlacn2.f | 38 +-
lib/linalg/dlacpy.f | 38 +-
lib/linalg/dladiv.f | 192 ++++++--
lib/linalg/dlae2.f | 38 +-
lib/linalg/dlaed0.f | 36 +-
lib/linalg/dlaed1.f | 38 +-
lib/linalg/dlaed2.f | 40 +-
lib/linalg/dlaed3.f | 38 +-
lib/linalg/dlaed4.f | 36 +-
lib/linalg/dlaed5.f | 36 +-
lib/linalg/dlaed6.f | 47 +-
lib/linalg/dlaed7.f | 40 +-
lib/linalg/dlaed8.f | 40 +-
lib/linalg/dlaed9.f | 36 +-
lib/linalg/dlaeda.f | 36 +-
lib/linalg/dlaev2.f | 38 +-
lib/linalg/dlaisnan.f | 42 +-
lib/linalg/dlamch.f | 905 +++++---------------------------------
lib/linalg/dlamrg.f | 38 +-
lib/linalg/dlange.f | 36 +-
lib/linalg/dlanst.f | 38 +-
lib/linalg/dlansy.f | 36 +-
lib/linalg/dlapy2.f | 66 +--
lib/linalg/dlapy3.f | 38 +-
lib/linalg/dlarf.f | 36 +-
lib/linalg/dlarfb.f | 328 ++++++--------
lib/linalg/dlarfg.f | 36 +-
lib/linalg/dlarft.f | 48 +-
lib/linalg/dlartg.f | 38 +-
lib/linalg/dlas2.f | 38 +-
lib/linalg/dlascl.f | 44 +-
lib/linalg/dlaset.f | 40 +-
lib/linalg/dlasq1.f | 42 +-
lib/linalg/dlasq2.f | 96 ++--
lib/linalg/dlasq3.f | 62 +--
lib/linalg/dlasq4.f | 59 ++-
lib/linalg/dlasq5.f | 100 ++---
lib/linalg/dlasq6.f | 48 +-
lib/linalg/dlasr.f | 78 ++--
lib/linalg/dlasrt.f | 38 +-
lib/linalg/dlassq.f | 38 +-
lib/linalg/dlasv2.f | 38 +-
lib/linalg/dlaswp.f | 56 +--
lib/linalg/dlatrd.f | 36 +-
lib/linalg/dlatrs.f | 36 +-
lib/linalg/dnrm2.f | 42 +-
lib/linalg/dorg2l.f | 36 +-
lib/linalg/dorg2r.f | 36 +-
lib/linalg/dorgbr.f | 35 +-
lib/linalg/dorgl2.f | 36 +-
lib/linalg/dorglq.f | 36 +-
lib/linalg/dorgql.f | 36 +-
lib/linalg/dorgqr.f | 36 +-
lib/linalg/dorgtr.f | 36 +-
lib/linalg/dorm2l.f | 36 +-
lib/linalg/dorm2r.f | 36 +-
lib/linalg/dormbr.f | 36 +-
lib/linalg/dorml2.f | 36 +-
lib/linalg/dormlq.f | 69 ++-
lib/linalg/dormql.f | 79 ++--
lib/linalg/dormqr.f | 69 ++-
lib/linalg/dormtr.f | 36 +-
lib/linalg/dpotf2.f | 36 +-
lib/linalg/dpotrf.f | 44 +-
lib/linalg/drot.f | 63 ++-
lib/linalg/drscl.f | 36 +-
lib/linalg/dscal.f | 50 ++-
lib/linalg/dstedc.f | 91 ++--
lib/linalg/dsteqr.f | 36 +-
lib/linalg/dsterf.f | 38 +-
lib/linalg/dswap.f | 57 ++-
lib/linalg/dsyev.f | 36 +-
lib/linalg/dsyevd.f | 36 +-
lib/linalg/dsygs2.f | 36 +-
lib/linalg/dsygst.f | 36 +-
lib/linalg/dsygv.f | 38 +-
lib/linalg/dsygvd.f | 38 +-
lib/linalg/dsymm.f | 28 +-
lib/linalg/dsymv.f | 28 +-
lib/linalg/dsyr2.f | 28 +-
lib/linalg/dsyr2k.f | 28 +-
lib/linalg/dsyrk.f | 26 +-
lib/linalg/dsytd2.f | 36 +-
lib/linalg/dsytrd.f | 36 +-
lib/linalg/dtrmm.f | 26 +-
lib/linalg/dtrmv.f | 28 +-
lib/linalg/dtrsm.f | 28 +-
lib/linalg/dtrsv.f | 26 +-
lib/linalg/dtrti2.f | 36 +-
lib/linalg/dtrtri.f | 36 +-
lib/linalg/dznrm2.f | 43 +-
lib/linalg/idamax.f | 44 +-
lib/linalg/ieeeck.f | 38 +-
lib/linalg/iladlc.f | 38 +-
lib/linalg/iladlr.f | 38 +-
lib/linalg/ilaenv.f | 127 +++++-
lib/linalg/ilazlc.f | 36 +-
lib/linalg/ilazlr.f | 36 +-
lib/linalg/iparam2stage.F | 386 ++++++++++++++++
lib/linalg/iparmq.f | 153 +++++--
lib/linalg/lsame.f | 20 +-
lib/linalg/xerbla.f | 38 +-
lib/linalg/zaxpy.f | 59 ++-
lib/linalg/zcopy.f | 53 ++-
lib/linalg/zdotc.f | 57 ++-
lib/linalg/zdscal.f | 48 +-
lib/linalg/zgemm.f | 60 ++-
lib/linalg/zgemv.f | 52 +--
lib/linalg/zgerc.f | 28 +-
lib/linalg/zheev.f | 36 +-
lib/linalg/zhemv.f | 28 +-
lib/linalg/zher2.f | 28 +-
lib/linalg/zher2k.f | 28 +-
lib/linalg/zhetd2.f | 36 +-
lib/linalg/zhetrd.f | 36 +-
lib/linalg/zhpr.f | 26 +-
lib/linalg/zlacgv.f | 36 +-
lib/linalg/zladiv.f | 36 +-
lib/linalg/zlanhe.f | 36 +-
lib/linalg/zlarf.f | 36 +-
lib/linalg/zlarfb.f | 312 ++++++-------
lib/linalg/zlarfg.f | 36 +-
lib/linalg/zlarft.f | 52 +--
lib/linalg/zlascl.f | 42 +-
lib/linalg/zlaset.f | 38 +-
lib/linalg/zlasr.f | 66 +--
lib/linalg/zlassq.f | 36 +-
lib/linalg/zlatrd.f | 36 +-
lib/linalg/zpptrf.f | 36 +-
lib/linalg/zpptri.f | 36 +-
lib/linalg/zscal.f | 48 +-
lib/linalg/zsteqr.f | 36 +-
lib/linalg/zswap.f | 53 ++-
lib/linalg/ztpmv.f | 30 +-
lib/linalg/ztpsv.f | 26 +-
lib/linalg/ztptri.f | 36 +-
lib/linalg/ztrmm.f | 28 +-
lib/linalg/ztrmv.f | 30 +-
lib/linalg/zung2l.f | 36 +-
lib/linalg/zung2r.f | 36 +-
lib/linalg/zungl2.f | 36 +-
lib/linalg/zungql.f | 36 +-
lib/linalg/zungqr.f | 36 +-
lib/linalg/zungtr.f | 36 +-
171 files changed, 5320 insertions(+), 4660 deletions(-)
create mode 100644 lib/linalg/dgetrf2.f
create mode 100644 lib/linalg/iparam2stage.F
diff --git a/cmake/CMakeLists.txt b/cmake/CMakeLists.txt
index 5b52a7d6e6..ae83ce7e4b 100644
--- a/cmake/CMakeLists.txt
+++ b/cmake/CMakeLists.txt
@@ -203,7 +203,7 @@ if(PKG_MSCG OR PKG_USER-ATC OR PKG_USER-AWPMD OR PKG_USER-QUIP OR PKG_LATTE)
find_package(LAPACK)
if(NOT LAPACK_FOUND)
enable_language(Fortran)
- file(GLOB LAPACK_SOURCES ${LAMMPS_LIB_SOURCE_DIR}/linalg/*.f)
+ file(GLOB LAPACK_SOURCES ${LAMMPS_LIB_SOURCE_DIR}/linalg/*.[fF])
add_library(linalg STATIC ${LAPACK_SOURCES})
set(LAPACK_LIBRARIES linalg)
endif()
diff --git a/lib/linalg/dasum.f b/lib/linalg/dasum.f
index c1bd78ac81..cc5977f770 100644
--- a/lib/linalg/dasum.f
+++ b/lib/linalg/dasum.f
@@ -2,21 +2,21 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* DOUBLE PRECISION FUNCTION DASUM(N,DX,INCX)
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX,N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION DX(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -26,15 +26,35 @@
*> DASUM takes the sum of the absolute values.
*> \endverbatim
*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> number of elements in input vector(s)
+*> \endverbatim
+*>
+*> \param[in] DX
+*> \verbatim
+*> DX is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> storage spacing between elements of DX
+*> \endverbatim
+*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level1
*
@@ -51,10 +71,10 @@
* =====================================================================
DOUBLE PRECISION FUNCTION DASUM(N,DX,INCX)
*
-* -- Reference BLAS level1 routine (version 3.4.0) --
+* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX,N
diff --git a/lib/linalg/daxpy.f b/lib/linalg/daxpy.f
index 64a02d68bc..cb94fc1e0a 100644
--- a/lib/linalg/daxpy.f
+++ b/lib/linalg/daxpy.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DAXPY(N,DA,DX,INCX,DY,INCY)
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION DA
* INTEGER INCX,INCY,N
@@ -17,7 +17,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION DX(*),DY(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -28,15 +28,52 @@
*> uses unrolled loops for increments equal to one.
*> \endverbatim
*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> number of elements in input vector(s)
+*> \endverbatim
+*>
+*> \param[in] DA
+*> \verbatim
+*> DA is DOUBLE PRECISION
+*> On entry, DA specifies the scalar alpha.
+*> \endverbatim
+*>
+*> \param[in] DX
+*> \verbatim
+*> DX is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> storage spacing between elements of DX
+*> \endverbatim
+*>
+*> \param[in,out] DY
+*> \verbatim
+*> DY is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCY ) )
+*> \endverbatim
+*>
+*> \param[in] INCY
+*> \verbatim
+*> INCY is INTEGER
+*> storage spacing between elements of DY
+*> \endverbatim
+*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level1
*
@@ -52,10 +89,10 @@
* =====================================================================
SUBROUTINE DAXPY(N,DA,DX,INCX,DY,INCY)
*
-* -- Reference BLAS level1 routine (version 3.4.0) --
+* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION DA
diff --git a/lib/linalg/dbdsqr.f b/lib/linalg/dbdsqr.f
index 007e99779b..93db95e7a8 100644
--- a/lib/linalg/dbdsqr.f
+++ b/lib/linalg/dbdsqr.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DBDSQR + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dbdsqr.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dbdsqr.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dbdsqr.f">
+*> Download DBDSQR + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dbdsqr.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dbdsqr.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dbdsqr.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DBDSQR( UPLO, N, NCVT, NRU, NCC, D, E, VT, LDVT, U,
* LDU, C, LDC, WORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER INFO, LDC, LDU, LDVT, N, NCC, NCVT, NRU
@@ -29,7 +29,7 @@
* DOUBLE PRECISION C( LDC, * ), D( * ), E( * ), U( LDU, * ),
* $ VT( LDVT, * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -40,9 +40,9 @@
*> left singular vectors from the singular value decomposition (SVD) of
*> a real N-by-N (upper or lower) bidiagonal matrix B using the implicit
*> zero-shift QR algorithm. The SVD of B has the form
-*>
+*>
*> B = Q * S * P**T
-*>
+*>
*> where S is the diagonal matrix of singular values, Q is an orthogonal
*> matrix of left singular vectors, and P is an orthogonal matrix of
*> right singular vectors. If left singular vectors are requested, this
@@ -113,7 +113,7 @@
*> \verbatim
*> E is DOUBLE PRECISION array, dimension (N-1)
*> On entry, the N-1 offdiagonal elements of the bidiagonal
-*> matrix B.
+*> matrix B.
*> On exit, if INFO = 0, E is destroyed; if INFO > 0, D and E
*> will contain the diagonal and superdiagonal elements of a
*> bidiagonal matrix orthogonally equivalent to the one given
@@ -179,7 +179,7 @@
*> = 1, a split was marked by a positive value in E
*> = 2, current block of Z not diagonalized after 30*N
*> iterations (in inner while loop)
-*> = 3, termination criterion of outer while loop not met
+*> = 3, termination criterion of outer while loop not met
*> (program created more than N unreduced blocks)
*> else NCVT = NRU = NCC = 0,
*> the algorithm did not converge; D and E contain the
@@ -212,17 +212,28 @@
*> algorithm through its inner loop. The algorithms stops
*> (and so fails to converge) if the number of passes
*> through the inner loop exceeds MAXITR*N**2.
+*>
+*> \endverbatim
+*
+*> \par Note:
+* ===========
+*>
+*> \verbatim
+*> Bug report from Cezary Dendek.
+*> On March 23rd 2017, the INTEGER variable MAXIT = MAXITR*N**2 is
+*> removed since it can overflow pretty easily (for N larger or equal
+*> than 18,919). We instead use MAXITDIVN = MAXITR*N.
*> \endverbatim
*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date June 2017
*
*> \ingroup auxOTHERcomputational
*
@@ -230,10 +241,10 @@
SUBROUTINE DBDSQR( UPLO, N, NCVT, NRU, NCC, D, E, VT, LDVT, U,
$ LDU, C, LDC, WORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.1) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* June 2017
*
* .. Scalar Arguments ..
CHARACTER UPLO
@@ -266,8 +277,8 @@
* ..
* .. Local Scalars ..
LOGICAL LOWER, ROTATE
- INTEGER I, IDIR, ISUB, ITER, J, LL, LLL, M, MAXIT, NM1,
- $ NM12, NM13, OLDLL, OLDM
+ INTEGER I, IDIR, ISUB, ITER, ITERDIVN, J, LL, LLL, M,
+ $ MAXITDIVN, NM1, NM12, NM13, OLDLL, OLDM
DOUBLE PRECISION ABSE, ABSS, COSL, COSR, CS, EPS, F, G, H, MU,
$ OLDCS, OLDSN, R, SHIFT, SIGMN, SIGMX, SINL,
$ SINR, SLL, SMAX, SMIN, SMINL, SMINOA,
@@ -329,7 +340,7 @@
CALL DLASQ1( N, D, E, WORK, INFO )
*
* If INFO equals 2, dqds didn't finish, try to finish
-*
+*
IF( INFO .NE. 2 ) RETURN
INFO = 0
END IF
@@ -400,20 +411,21 @@
40 CONTINUE
50 CONTINUE
SMINOA = SMINOA / SQRT( DBLE( N ) )
- THRESH = MAX( TOL*SMINOA, MAXITR*N*N*UNFL )
+ THRESH = MAX( TOL*SMINOA, MAXITR*(N*(N*UNFL)) )
ELSE
*
* Absolute accuracy desired
*
- THRESH = MAX( ABS( TOL )*SMAX, MAXITR*N*N*UNFL )
+ THRESH = MAX( ABS( TOL )*SMAX, MAXITR*(N*(N*UNFL)) )
END IF
*
* Prepare for main iteration loop for the singular values
* (MAXIT is the maximum number of passes through the inner
* loop permitted before nonconvergence signalled.)
*
- MAXIT = MAXITR*N*N
- ITER = 0
+ MAXITDIVN = MAXITR*N
+ ITERDIVN = 0
+ ITER = -1
OLDLL = -1
OLDM = -1
*
@@ -429,8 +441,13 @@
*
IF( M.LE.1 )
$ GO TO 160
- IF( ITER.GT.MAXIT )
- $ GO TO 200
+*
+ IF( ITER.GE.N ) THEN
+ ITER = ITER - N
+ ITERDIVN = ITERDIVN + 1
+ IF( ITERDIVN.GE.MAXITDIVN )
+ $ GO TO 200
+ END IF
*
* Find diagonal block of matrix to work on
*
diff --git a/lib/linalg/dcabs1.f b/lib/linalg/dcabs1.f
index f6debb9ac2..d6d850ed0f 100644
--- a/lib/linalg/dcabs1.f
+++ b/lib/linalg/dcabs1.f
@@ -2,47 +2,55 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* DOUBLE PRECISION FUNCTION DCABS1(Z)
-*
+*
* .. Scalar Arguments ..
* COMPLEX*16 Z
* ..
* ..
-*
+*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
-*> DCABS1 computes absolute value of a double complex number
+*> DCABS1 computes |Re(.)| + |Im(.)| of a double complex number
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] Z
+*> \verbatim
+*> Z is COMPLEX*16
*> \endverbatim
*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level1
*
* =====================================================================
DOUBLE PRECISION FUNCTION DCABS1(Z)
*
-* -- Reference BLAS level1 routine (version 3.4.0) --
+* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
COMPLEX*16 Z
diff --git a/lib/linalg/dcopy.f b/lib/linalg/dcopy.f
index d9d5ac7aa2..27bc08582b 100644
--- a/lib/linalg/dcopy.f
+++ b/lib/linalg/dcopy.f
@@ -2,21 +2,21 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DCOPY(N,DX,INCX,DY,INCY)
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX,INCY,N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION DX(*),DY(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -24,18 +24,49 @@
*> \verbatim
*>
*> DCOPY copies a vector, x, to a vector, y.
-*> uses unrolled loops for increments equal to one.
+*> uses unrolled loops for increments equal to 1.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> number of elements in input vector(s)
+*> \endverbatim
+*>
+*> \param[in] DX
+*> \verbatim
+*> DX is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> storage spacing between elements of DX
+*> \endverbatim
+*>
+*> \param[out] DY
+*> \verbatim
+*> DY is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCY ) )
+*> \endverbatim
+*>
+*> \param[in] INCY
+*> \verbatim
+*> INCY is INTEGER
+*> storage spacing between elements of DY
*> \endverbatim
*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level1
*
@@ -51,10 +82,10 @@
* =====================================================================
SUBROUTINE DCOPY(N,DX,INCX,DY,INCY)
*
-* -- Reference BLAS level1 routine (version 3.4.0) --
+* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX,INCY,N
@@ -85,7 +116,7 @@
DY(I) = DX(I)
END DO
IF (N.LT.7) RETURN
- END IF
+ END IF
MP1 = M + 1
DO I = MP1,N,7
DY(I) = DX(I)
@@ -96,7 +127,7 @@
DY(I+5) = DX(I+5)
DY(I+6) = DX(I+6)
END DO
- ELSE
+ ELSE
*
* code for unequal increments or equal increments
* not equal to 1
diff --git a/lib/linalg/ddot.f b/lib/linalg/ddot.f
index cc0c1b7a43..3d18695aab 100644
--- a/lib/linalg/ddot.f
+++ b/lib/linalg/ddot.f
@@ -2,21 +2,21 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* DOUBLE PRECISION FUNCTION DDOT(N,DX,INCX,DY,INCY)
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX,INCY,N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION DX(*),DY(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -27,15 +27,46 @@
*> uses unrolled loops for increments equal to one.
*> \endverbatim
*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> number of elements in input vector(s)
+*> \endverbatim
+*>
+*> \param[in] DX
+*> \verbatim
+*> DX is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> storage spacing between elements of DX
+*> \endverbatim
+*>
+*> \param[in] DY
+*> \verbatim
+*> DY is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCY ) )
+*> \endverbatim
+*>
+*> \param[in] INCY
+*> \verbatim
+*> INCY is INTEGER
+*> storage spacing between elements of DY
+*> \endverbatim
+*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level1
*
@@ -51,10 +82,10 @@
* =====================================================================
DOUBLE PRECISION FUNCTION DDOT(N,DX,INCX,DY,INCY)
*
-* -- Reference BLAS level1 routine (version 3.4.0) --
+* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX,INCY,N
diff --git a/lib/linalg/dgebd2.f b/lib/linalg/dgebd2.f
index 4b4dcc9641..2bec4e29c7 100644
--- a/lib/linalg/dgebd2.f
+++ b/lib/linalg/dgebd2.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DGEBD2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgebd2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgebd2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgebd2.f">
+*> Download DGEBD2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgebd2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgebd2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgebd2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DGEBD2( M, N, A, LDA, D, E, TAUQ, TAUP, WORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, LDA, M, N
* ..
@@ -27,7 +27,7 @@
* DOUBLE PRECISION A( LDA, * ), D( * ), E( * ), TAUP( * ),
* $ TAUQ( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -100,7 +100,7 @@
*>
*> \param[out] TAUQ
*> \verbatim
-*> TAUQ is DOUBLE PRECISION array dimension (min(M,N))
+*> TAUQ is DOUBLE PRECISION array, dimension (min(M,N))
*> The scalar factors of the elementary reflectors which
*> represent the orthogonal matrix Q. See Further Details.
*> \endverbatim
@@ -127,12 +127,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2017
*
*> \ingroup doubleGEcomputational
*
@@ -189,10 +189,10 @@
* =====================================================================
SUBROUTINE DGEBD2( M, N, A, LDA, D, E, TAUQ, TAUP, WORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.1) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2017
*
* .. Scalar Arguments ..
INTEGER INFO, LDA, M, N
diff --git a/lib/linalg/dgebrd.f b/lib/linalg/dgebrd.f
index 6cb61f002f..957cf2e539 100644
--- a/lib/linalg/dgebrd.f
+++ b/lib/linalg/dgebrd.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DGEBRD + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgebrd.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgebrd.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgebrd.f">
+*> Download DGEBRD + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgebrd.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgebrd.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgebrd.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DGEBRD( M, N, A, LDA, D, E, TAUQ, TAUP, WORK, LWORK,
* INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, LDA, LWORK, M, N
* ..
@@ -28,7 +28,7 @@
* DOUBLE PRECISION A( LDA, * ), D( * ), E( * ), TAUP( * ),
* $ TAUQ( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -101,7 +101,7 @@
*>
*> \param[out] TAUQ
*> \verbatim
-*> TAUQ is DOUBLE PRECISION array dimension (min(M,N))
+*> TAUQ is DOUBLE PRECISION array, dimension (min(M,N))
*> The scalar factors of the elementary reflectors which
*> represent the orthogonal matrix Q. See Further Details.
*> \endverbatim
@@ -142,12 +142,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date June 2017
*
*> \ingroup doubleGEcomputational
*
@@ -205,10 +205,10 @@
SUBROUTINE DGEBRD( M, N, A, LDA, D, E, TAUQ, TAUP, WORK, LWORK,
$ INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.1) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* June 2017
*
* .. Scalar Arguments ..
INTEGER INFO, LDA, LWORK, M, N
diff --git a/lib/linalg/dgecon.f b/lib/linalg/dgecon.f
index df9d8e1c40..be20bbcd2a 100644
--- a/lib/linalg/dgecon.f
+++ b/lib/linalg/dgecon.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DGECON + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgecon.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgecon.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgecon.f">
+*> Download DGECON + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgecon.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgecon.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgecon.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DGECON( NORM, N, A, LDA, ANORM, RCOND, WORK, IWORK,
* INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER NORM
* INTEGER INFO, LDA, N
@@ -30,7 +30,7 @@
* INTEGER IWORK( * )
* DOUBLE PRECISION A( LDA, * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -111,12 +111,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleGEcomputational
*
@@ -124,10 +124,10 @@
SUBROUTINE DGECON( NORM, N, A, LDA, ANORM, RCOND, WORK, IWORK,
$ INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER NORM
diff --git a/lib/linalg/dgelq2.f b/lib/linalg/dgelq2.f
index 0d64ba5210..04aa57fc19 100644
--- a/lib/linalg/dgelq2.f
+++ b/lib/linalg/dgelq2.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DGELQ2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgelq2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgelq2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgelq2.f">
+*> Download DGELQ2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgelq2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgelq2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgelq2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DGELQ2( M, N, A, LDA, TAU, WORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, LDA, M, N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -91,12 +91,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleGEcomputational
*
@@ -121,10 +121,10 @@
* =====================================================================
SUBROUTINE DGELQ2( M, N, A, LDA, TAU, WORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, LDA, M, N
diff --git a/lib/linalg/dgelqf.f b/lib/linalg/dgelqf.f
index d27b04ab1d..834c47168f 100644
--- a/lib/linalg/dgelqf.f
+++ b/lib/linalg/dgelqf.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DGELQF + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgelqf.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgelqf.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgelqf.f">
+*> Download DGELQF + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgelqf.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgelqf.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgelqf.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DGELQF( M, N, A, LDA, TAU, WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, LDA, LWORK, M, N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -105,12 +105,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleGEcomputational
*
@@ -135,10 +135,10 @@
* =====================================================================
SUBROUTINE DGELQF( M, N, A, LDA, TAU, WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, LDA, LWORK, M, N
diff --git a/lib/linalg/dgemm.f b/lib/linalg/dgemm.f
index 45d001b7ab..3a60ca4e73 100644
--- a/lib/linalg/dgemm.f
+++ b/lib/linalg/dgemm.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION ALPHA,BETA
* INTEGER K,LDA,LDB,LDC,M,N
@@ -18,7 +18,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A(LDA,*),B(LDB,*),C(LDC,*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -97,7 +97,7 @@
*>
*> \param[in] A
*> \verbatim
-*> A is DOUBLE PRECISION array of DIMENSION ( LDA, ka ), where ka is
+*> A is DOUBLE PRECISION array, dimension ( LDA, ka ), where ka is
*> k when TRANSA = 'N' or 'n', and is m otherwise.
*> Before entry with TRANSA = 'N' or 'n', the leading m by k
*> part of the array A must contain the matrix A, otherwise
@@ -116,7 +116,7 @@
*>
*> \param[in] B
*> \verbatim
-*> B is DOUBLE PRECISION array of DIMENSION ( LDB, kb ), where kb is
+*> B is DOUBLE PRECISION array, dimension ( LDB, kb ), where kb is
*> n when TRANSB = 'N' or 'n', and is k otherwise.
*> Before entry with TRANSB = 'N' or 'n', the leading k by n
*> part of the array B must contain the matrix B, otherwise
@@ -142,7 +142,7 @@
*>
*> \param[in,out] C
*> \verbatim
-*> C is DOUBLE PRECISION array of DIMENSION ( LDC, n ).
+*> C is DOUBLE PRECISION array, dimension ( LDC, N )
*> Before entry, the leading m by n part of the array C must
*> contain the matrix C, except when beta is zero, in which
*> case C need not be set on entry.
@@ -161,12 +161,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level3
*
@@ -187,10 +187,10 @@
* =====================================================================
SUBROUTINE DGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
*
-* -- Reference BLAS level3 routine (version 3.4.0) --
+* -- Reference BLAS level3 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION ALPHA,BETA
@@ -311,12 +311,10 @@
60 CONTINUE
END IF
DO 80 L = 1,K
- IF (B(L,J).NE.ZERO) THEN
- TEMP = ALPHA*B(L,J)
- DO 70 I = 1,M
- C(I,J) = C(I,J) + TEMP*A(I,L)
- 70 CONTINUE
- END IF
+ TEMP = ALPHA*B(L,J)
+ DO 70 I = 1,M
+ C(I,J) = C(I,J) + TEMP*A(I,L)
+ 70 CONTINUE
80 CONTINUE
90 CONTINUE
ELSE
@@ -353,12 +351,10 @@
140 CONTINUE
END IF
DO 160 L = 1,K
- IF (B(J,L).NE.ZERO) THEN
- TEMP = ALPHA*B(J,L)
- DO 150 I = 1,M
- C(I,J) = C(I,J) + TEMP*A(I,L)
- 150 CONTINUE
- END IF
+ TEMP = ALPHA*B(J,L)
+ DO 150 I = 1,M
+ C(I,J) = C(I,J) + TEMP*A(I,L)
+ 150 CONTINUE
160 CONTINUE
170 CONTINUE
ELSE
diff --git a/lib/linalg/dgemv.f b/lib/linalg/dgemv.f
index 675257fac7..08e395b1cd 100644
--- a/lib/linalg/dgemv.f
+++ b/lib/linalg/dgemv.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DGEMV(TRANS,M,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION ALPHA,BETA
* INTEGER INCX,INCY,LDA,M,N
@@ -18,7 +18,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A(LDA,*),X(*),Y(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -71,7 +71,7 @@
*>
*> \param[in] A
*> \verbatim
-*> A is DOUBLE PRECISION array of DIMENSION ( LDA, n ).
+*> A is DOUBLE PRECISION array, dimension ( LDA, N )
*> Before entry, the leading m by n part of the array A must
*> contain the matrix of coefficients.
*> \endverbatim
@@ -86,7 +86,7 @@
*>
*> \param[in] X
*> \verbatim
-*> X is DOUBLE PRECISION array of DIMENSION at least
+*> X is DOUBLE PRECISION array, dimension at least
*> ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n'
*> and at least
*> ( 1 + ( m - 1 )*abs( INCX ) ) otherwise.
@@ -110,7 +110,7 @@
*>
*> \param[in,out] Y
*> \verbatim
-*> Y is DOUBLE PRECISION array of DIMENSION at least
+*> Y is DOUBLE PRECISION array, dimension at least
*> ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n'
*> and at least
*> ( 1 + ( n - 1 )*abs( INCY ) ) otherwise.
@@ -129,12 +129,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level2
*
@@ -156,10 +156,10 @@
* =====================================================================
SUBROUTINE DGEMV(TRANS,M,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
*
-* -- Reference BLAS level2 routine (version 3.4.0) --
+* -- Reference BLAS level2 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION ALPHA,BETA
@@ -278,24 +278,20 @@
JX = KX
IF (INCY.EQ.1) THEN
DO 60 J = 1,N
- IF (X(JX).NE.ZERO) THEN
- TEMP = ALPHA*X(JX)
- DO 50 I = 1,M
- Y(I) = Y(I) + TEMP*A(I,J)
- 50 CONTINUE
- END IF
+ TEMP = ALPHA*X(JX)
+ DO 50 I = 1,M
+ Y(I) = Y(I) + TEMP*A(I,J)
+ 50 CONTINUE
JX = JX + INCX
60 CONTINUE
ELSE
DO 80 J = 1,N
- IF (X(JX).NE.ZERO) THEN
- TEMP = ALPHA*X(JX)
- IY = KY
- DO 70 I = 1,M
- Y(IY) = Y(IY) + TEMP*A(I,J)
- IY = IY + INCY
- 70 CONTINUE
- END IF
+ TEMP = ALPHA*X(JX)
+ IY = KY
+ DO 70 I = 1,M
+ Y(IY) = Y(IY) + TEMP*A(I,J)
+ IY = IY + INCY
+ 70 CONTINUE
JX = JX + INCX
80 CONTINUE
END IF
diff --git a/lib/linalg/dgeqr2.f b/lib/linalg/dgeqr2.f
index 8e63db8866..c1e91e9bde 100644
--- a/lib/linalg/dgeqr2.f
+++ b/lib/linalg/dgeqr2.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DGEQR2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgeqr2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgeqr2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgeqr2.f">
+*> Download DGEQR2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgeqr2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgeqr2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgeqr2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DGEQR2( M, N, A, LDA, TAU, WORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, LDA, M, N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -91,12 +91,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleGEcomputational
*
@@ -121,10 +121,10 @@
* =====================================================================
SUBROUTINE DGEQR2( M, N, A, LDA, TAU, WORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, LDA, M, N
diff --git a/lib/linalg/dgeqrf.f b/lib/linalg/dgeqrf.f
index 2990257581..83d7d8dd71 100644
--- a/lib/linalg/dgeqrf.f
+++ b/lib/linalg/dgeqrf.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DGEQRF + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgeqrf.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgeqrf.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgeqrf.f">
+*> Download DGEQRF + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgeqrf.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgeqrf.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgeqrf.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DGEQRF( M, N, A, LDA, TAU, WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, LDA, LWORK, M, N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -106,12 +106,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleGEcomputational
*
@@ -136,10 +136,10 @@
* =====================================================================
SUBROUTINE DGEQRF( M, N, A, LDA, TAU, WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, LDA, LWORK, M, N
diff --git a/lib/linalg/dger.f b/lib/linalg/dger.f
index a042483703..bdc8ef4349 100644
--- a/lib/linalg/dger.f
+++ b/lib/linalg/dger.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DGER(M,N,ALPHA,X,INCX,Y,INCY,A,LDA)
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION ALPHA
* INTEGER INCX,INCY,LDA,M,N
@@ -17,7 +17,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A(LDA,*),X(*),Y(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -57,7 +57,7 @@
*>
*> \param[in] X
*> \verbatim
-*> X is DOUBLE PRECISION array of dimension at least
+*> X is DOUBLE PRECISION array, dimension at least
*> ( 1 + ( m - 1 )*abs( INCX ) ).
*> Before entry, the incremented array X must contain the m
*> element vector x.
@@ -72,7 +72,7 @@
*>
*> \param[in] Y
*> \verbatim
-*> Y is DOUBLE PRECISION array of dimension at least
+*> Y is DOUBLE PRECISION array, dimension at least
*> ( 1 + ( n - 1 )*abs( INCY ) ).
*> Before entry, the incremented array Y must contain the n
*> element vector y.
@@ -87,7 +87,7 @@
*>
*> \param[in,out] A
*> \verbatim
-*> A is DOUBLE PRECISION array of DIMENSION ( LDA, n ).
+*> A is DOUBLE PRECISION array, dimension ( LDA, N )
*> Before entry, the leading m by n part of the array A must
*> contain the matrix of coefficients. On exit, A is
*> overwritten by the updated matrix.
@@ -104,12 +104,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level2
*
@@ -130,10 +130,10 @@
* =====================================================================
SUBROUTINE DGER(M,N,ALPHA,X,INCX,Y,INCY,A,LDA)
*
-* -- Reference BLAS level2 routine (version 3.4.0) --
+* -- Reference BLAS level2 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION ALPHA
diff --git a/lib/linalg/dgesv.f b/lib/linalg/dgesv.f
index 8d47f839dc..23999e167f 100644
--- a/lib/linalg/dgesv.f
+++ b/lib/linalg/dgesv.f
@@ -2,16 +2,16 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DGESV + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgesv.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgesv.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgesv.f">
+*> Download DGESV + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgesv.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgesv.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgesv.f">
*> [TXT]</a>
*> \endhtmlonly
*
@@ -19,7 +19,7 @@
* ===========
*
* SUBROUTINE DGESV( N, NRHS, A, LDA, IPIV, B, LDB, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, LDA, LDB, N, NRHS
* ..
@@ -27,7 +27,7 @@
* INTEGER IPIV( * )
* DOUBLE PRECISION A( LDA, * ), B( LDB, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -110,22 +110,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleGEsolve
*
* =====================================================================
SUBROUTINE DGESV( N, NRHS, A, LDA, IPIV, B, LDB, INFO )
*
-* -- LAPACK driver routine (version 3.4.0) --
+* -- LAPACK driver routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, LDA, LDB, N, NRHS
diff --git a/lib/linalg/dgesvd.f b/lib/linalg/dgesvd.f
index 898570b669..ddf0bd5c2d 100644
--- a/lib/linalg/dgesvd.f
+++ b/lib/linalg/dgesvd.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DGESVD + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgesvd.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgesvd.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgesvd.f">
+*> Download DGESVD + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgesvd.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgesvd.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgesvd.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DGESVD( JOBU, JOBVT, M, N, A, LDA, S, U, LDU, VT, LDVT,
* WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER JOBU, JOBVT
* INTEGER INFO, LDA, LDU, LDVT, LWORK, M, N
@@ -29,7 +29,7 @@
* DOUBLE PRECISION A( LDA, * ), S( * ), U( LDU, * ),
* $ VT( LDVT, * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -173,9 +173,9 @@
*> LWORK is INTEGER
*> The dimension of the array WORK.
*> LWORK >= MAX(1,5*MIN(M,N)) for the paths (see comments inside code):
-*> - PATH 1 (M much larger than N, JOBU='N')
+*> - PATH 1 (M much larger than N, JOBU='N')
*> - PATH 1t (N much larger than M, JOBVT='N')
-*> LWORK >= MAX(1,3*MIN(M,N)+MAX(M,N),5*MIN(M,N)) for the other paths
+*> LWORK >= MAX(1,3*MIN(M,N) + MAX(M,N),5*MIN(M,N)) for the other paths
*> For good performance, LWORK should generally be larger.
*>
*> If LWORK = -1, then a workspace query is assumed; the routine
@@ -198,10 +198,10 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
*> \date April 2012
*
@@ -211,7 +211,7 @@
SUBROUTINE DGESVD( JOBU, JOBVT, M, N, A, LDA, S, U, LDU,
$ VT, LDVT, WORK, LWORK, INFO )
*
-* -- LAPACK driver routine (version 3.4.1) --
+* -- LAPACK driver routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
* April 2012
@@ -314,24 +314,24 @@
BDSPAC = 5*N
* Compute space needed for DGEQRF
CALL DGEQRF( M, N, A, LDA, DUM(1), DUM(1), -1, IERR )
- LWORK_DGEQRF=DUM(1)
+ LWORK_DGEQRF = INT( DUM(1) )
* Compute space needed for DORGQR
CALL DORGQR( M, N, N, A, LDA, DUM(1), DUM(1), -1, IERR )
- LWORK_DORGQR_N=DUM(1)
+ LWORK_DORGQR_N = INT( DUM(1) )
CALL DORGQR( M, M, N, A, LDA, DUM(1), DUM(1), -1, IERR )
- LWORK_DORGQR_M=DUM(1)
+ LWORK_DORGQR_M = INT( DUM(1) )
* Compute space needed for DGEBRD
CALL DGEBRD( N, N, A, LDA, S, DUM(1), DUM(1),
$ DUM(1), DUM(1), -1, IERR )
- LWORK_DGEBRD=DUM(1)
+ LWORK_DGEBRD = INT( DUM(1) )
* Compute space needed for DORGBR P
CALL DORGBR( 'P', N, N, N, A, LDA, DUM(1),
$ DUM(1), -1, IERR )
- LWORK_DORGBR_P=DUM(1)
+ LWORK_DORGBR_P = INT( DUM(1) )
* Compute space needed for DORGBR Q
CALL DORGBR( 'Q', N, N, N, A, LDA, DUM(1),
$ DUM(1), -1, IERR )
- LWORK_DORGBR_Q=DUM(1)
+ LWORK_DORGBR_Q = INT( DUM(1) )
*
IF( M.GE.MNTHR ) THEN
IF( WNTUN ) THEN
@@ -339,9 +339,9 @@
* Path 1 (M much larger than N, JOBU='N')
*
MAXWRK = N + LWORK_DGEQRF
- MAXWRK = MAX( MAXWRK, 3*N+LWORK_DGEBRD )
+ MAXWRK = MAX( MAXWRK, 3*N + LWORK_DGEBRD )
IF( WNTVO .OR. WNTVAS )
- $ MAXWRK = MAX( MAXWRK, 3*N+LWORK_DORGBR_P )
+ $ MAXWRK = MAX( MAXWRK, 3*N + LWORK_DORGBR_P )
MAXWRK = MAX( MAXWRK, BDSPAC )
MINWRK = MAX( 4*N, BDSPAC )
ELSE IF( WNTUO .AND. WNTVN ) THEN
@@ -349,97 +349,97 @@
* Path 2 (M much larger than N, JOBU='O', JOBVT='N')
*
WRKBL = N + LWORK_DGEQRF
- WRKBL = MAX( WRKBL, N+LWORK_DORGQR_N )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DGEBRD )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DORGBR_Q )
+ WRKBL = MAX( WRKBL, N + LWORK_DORGQR_N )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DGEBRD )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DORGBR_Q )
WRKBL = MAX( WRKBL, BDSPAC )
- MAXWRK = MAX( N*N+WRKBL, N*N+M*N+N )
- MINWRK = MAX( 3*N+M, BDSPAC )
+ MAXWRK = MAX( N*N + WRKBL, N*N + M*N + N )
+ MINWRK = MAX( 3*N + M, BDSPAC )
ELSE IF( WNTUO .AND. WNTVAS ) THEN
*
* Path 3 (M much larger than N, JOBU='O', JOBVT='S' or
* 'A')
*
WRKBL = N + LWORK_DGEQRF
- WRKBL = MAX( WRKBL, N+LWORK_DORGQR_N )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DGEBRD )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DORGBR_Q )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DORGBR_P )
+ WRKBL = MAX( WRKBL, N + LWORK_DORGQR_N )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DGEBRD )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DORGBR_Q )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DORGBR_P )
WRKBL = MAX( WRKBL, BDSPAC )
- MAXWRK = MAX( N*N+WRKBL, N*N+M*N+N )
- MINWRK = MAX( 3*N+M, BDSPAC )
+ MAXWRK = MAX( N*N + WRKBL, N*N + M*N + N )
+ MINWRK = MAX( 3*N + M, BDSPAC )
ELSE IF( WNTUS .AND. WNTVN ) THEN
*
* Path 4 (M much larger than N, JOBU='S', JOBVT='N')
*
WRKBL = N + LWORK_DGEQRF
- WRKBL = MAX( WRKBL, N+LWORK_DORGQR_N )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DGEBRD )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DORGBR_Q )
+ WRKBL = MAX( WRKBL, N + LWORK_DORGQR_N )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DGEBRD )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DORGBR_Q )
WRKBL = MAX( WRKBL, BDSPAC )
MAXWRK = N*N + WRKBL
- MINWRK = MAX( 3*N+M, BDSPAC )
+ MINWRK = MAX( 3*N + M, BDSPAC )
ELSE IF( WNTUS .AND. WNTVO ) THEN
*
* Path 5 (M much larger than N, JOBU='S', JOBVT='O')
*
WRKBL = N + LWORK_DGEQRF
- WRKBL = MAX( WRKBL, N+LWORK_DORGQR_N )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DGEBRD )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DORGBR_Q )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DORGBR_P )
+ WRKBL = MAX( WRKBL, N + LWORK_DORGQR_N )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DGEBRD )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DORGBR_Q )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DORGBR_P )
WRKBL = MAX( WRKBL, BDSPAC )
MAXWRK = 2*N*N + WRKBL
- MINWRK = MAX( 3*N+M, BDSPAC )
+ MINWRK = MAX( 3*N + M, BDSPAC )
ELSE IF( WNTUS .AND. WNTVAS ) THEN
*
* Path 6 (M much larger than N, JOBU='S', JOBVT='S' or
* 'A')
*
WRKBL = N + LWORK_DGEQRF
- WRKBL = MAX( WRKBL, N+LWORK_DORGQR_N )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DGEBRD )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DORGBR_Q )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DORGBR_P )
+ WRKBL = MAX( WRKBL, N + LWORK_DORGQR_N )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DGEBRD )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DORGBR_Q )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DORGBR_P )
WRKBL = MAX( WRKBL, BDSPAC )
MAXWRK = N*N + WRKBL
- MINWRK = MAX( 3*N+M, BDSPAC )
+ MINWRK = MAX( 3*N + M, BDSPAC )
ELSE IF( WNTUA .AND. WNTVN ) THEN
*
* Path 7 (M much larger than N, JOBU='A', JOBVT='N')
*
WRKBL = N + LWORK_DGEQRF
- WRKBL = MAX( WRKBL, N+LWORK_DORGQR_M )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DGEBRD )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DORGBR_Q )
+ WRKBL = MAX( WRKBL, N + LWORK_DORGQR_M )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DGEBRD )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DORGBR_Q )
WRKBL = MAX( WRKBL, BDSPAC )
MAXWRK = N*N + WRKBL
- MINWRK = MAX( 3*N+M, BDSPAC )
+ MINWRK = MAX( 3*N + M, BDSPAC )
ELSE IF( WNTUA .AND. WNTVO ) THEN
*
* Path 8 (M much larger than N, JOBU='A', JOBVT='O')
*
WRKBL = N + LWORK_DGEQRF
- WRKBL = MAX( WRKBL, N+LWORK_DORGQR_M )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DGEBRD )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DORGBR_Q )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DORGBR_P )
+ WRKBL = MAX( WRKBL, N + LWORK_DORGQR_M )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DGEBRD )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DORGBR_Q )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DORGBR_P )
WRKBL = MAX( WRKBL, BDSPAC )
MAXWRK = 2*N*N + WRKBL
- MINWRK = MAX( 3*N+M, BDSPAC )
+ MINWRK = MAX( 3*N + M, BDSPAC )
ELSE IF( WNTUA .AND. WNTVAS ) THEN
*
* Path 9 (M much larger than N, JOBU='A', JOBVT='S' or
* 'A')
*
WRKBL = N + LWORK_DGEQRF
- WRKBL = MAX( WRKBL, N+LWORK_DORGQR_M )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DGEBRD )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DORGBR_Q )
- WRKBL = MAX( WRKBL, 3*N+LWORK_DORGBR_P )
+ WRKBL = MAX( WRKBL, N + LWORK_DORGQR_M )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DGEBRD )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DORGBR_Q )
+ WRKBL = MAX( WRKBL, 3*N + LWORK_DORGBR_P )
WRKBL = MAX( WRKBL, BDSPAC )
MAXWRK = N*N + WRKBL
- MINWRK = MAX( 3*N+M, BDSPAC )
+ MINWRK = MAX( 3*N + M, BDSPAC )
END IF
ELSE
*
@@ -447,25 +447,25 @@
*
CALL DGEBRD( M, N, A, LDA, S, DUM(1), DUM(1),
$ DUM(1), DUM(1), -1, IERR )
- LWORK_DGEBRD=DUM(1)
+ LWORK_DGEBRD = INT( DUM(1) )
MAXWRK = 3*N + LWORK_DGEBRD
IF( WNTUS .OR. WNTUO ) THEN
CALL DORGBR( 'Q', M, N, N, A, LDA, DUM(1),
$ DUM(1), -1, IERR )
- LWORK_DORGBR_Q=DUM(1)
- MAXWRK = MAX( MAXWRK, 3*N+LWORK_DORGBR_Q )
+ LWORK_DORGBR_Q = INT( DUM(1) )
+ MAXWRK = MAX( MAXWRK, 3*N + LWORK_DORGBR_Q )
END IF
IF( WNTUA ) THEN
CALL DORGBR( 'Q', M, M, N, A, LDA, DUM(1),
$ DUM(1), -1, IERR )
- LWORK_DORGBR_Q=DUM(1)
- MAXWRK = MAX( MAXWRK, 3*N+LWORK_DORGBR_Q )
+ LWORK_DORGBR_Q = INT( DUM(1) )
+ MAXWRK = MAX( MAXWRK, 3*N + LWORK_DORGBR_Q )
END IF
IF( .NOT.WNTVN ) THEN
- MAXWRK = MAX( MAXWRK, 3*N+LWORK_DORGBR_P )
+ MAXWRK = MAX( MAXWRK, 3*N + LWORK_DORGBR_P )
END IF
MAXWRK = MAX( MAXWRK, BDSPAC )
- MINWRK = MAX( 3*N+M, BDSPAC )
+ MINWRK = MAX( 3*N + M, BDSPAC )
END IF
ELSE IF( MINMN.GT.0 ) THEN
*
@@ -475,33 +475,33 @@
BDSPAC = 5*M
* Compute space needed for DGELQF
CALL DGELQF( M, N, A, LDA, DUM(1), DUM(1), -1, IERR )
- LWORK_DGELQF=DUM(1)
+ LWORK_DGELQF = INT( DUM(1) )
* Compute space needed for DORGLQ
CALL DORGLQ( N, N, M, DUM(1), N, DUM(1), DUM(1), -1, IERR )
- LWORK_DORGLQ_N=DUM(1)
+ LWORK_DORGLQ_N = INT( DUM(1) )
CALL DORGLQ( M, N, M, A, LDA, DUM(1), DUM(1), -1, IERR )
- LWORK_DORGLQ_M=DUM(1)
+ LWORK_DORGLQ_M = INT( DUM(1) )
* Compute space needed for DGEBRD
CALL DGEBRD( M, M, A, LDA, S, DUM(1), DUM(1),
$ DUM(1), DUM(1), -1, IERR )
- LWORK_DGEBRD=DUM(1)
+ LWORK_DGEBRD = INT( DUM(1) )
* Compute space needed for DORGBR P
CALL DORGBR( 'P', M, M, M, A, N, DUM(1),
$ DUM(1), -1, IERR )
- LWORK_DORGBR_P=DUM(1)
+ LWORK_DORGBR_P = INT( DUM(1) )
* Compute space needed for DORGBR Q
CALL DORGBR( 'Q', M, M, M, A, N, DUM(1),
$ DUM(1), -1, IERR )
- LWORK_DORGBR_Q=DUM(1)
+ LWORK_DORGBR_Q = INT( DUM(1) )
IF( N.GE.MNTHR ) THEN
IF( WNTVN ) THEN
*
* Path 1t(N much larger than M, JOBVT='N')
*
MAXWRK = M + LWORK_DGELQF
- MAXWRK = MAX( MAXWRK, 3*M+LWORK_DGEBRD )
+ MAXWRK = MAX( MAXWRK, 3*M + LWORK_DGEBRD )
IF( WNTUO .OR. WNTUAS )
- $ MAXWRK = MAX( MAXWRK, 3*M+LWORK_DORGBR_Q )
+ $ MAXWRK = MAX( MAXWRK, 3*M + LWORK_DORGBR_Q )
MAXWRK = MAX( MAXWRK, BDSPAC )
MINWRK = MAX( 4*M, BDSPAC )
ELSE IF( WNTVO .AND. WNTUN ) THEN
@@ -509,97 +509,97 @@
* Path 2t(N much larger than M, JOBU='N', JOBVT='O')
*
WRKBL = M + LWORK_DGELQF
- WRKBL = MAX( WRKBL, M+LWORK_DORGLQ_M )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DGEBRD )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DORGBR_P )
+ WRKBL = MAX( WRKBL, M + LWORK_DORGLQ_M )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DGEBRD )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DORGBR_P )
WRKBL = MAX( WRKBL, BDSPAC )
- MAXWRK = MAX( M*M+WRKBL, M*M+M*N+M )
- MINWRK = MAX( 3*M+N, BDSPAC )
+ MAXWRK = MAX( M*M + WRKBL, M*M + M*N + M )
+ MINWRK = MAX( 3*M + N, BDSPAC )
ELSE IF( WNTVO .AND. WNTUAS ) THEN
*
* Path 3t(N much larger than M, JOBU='S' or 'A',
* JOBVT='O')
*
WRKBL = M + LWORK_DGELQF
- WRKBL = MAX( WRKBL, M+LWORK_DORGLQ_M )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DGEBRD )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DORGBR_P )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DORGBR_Q )
+ WRKBL = MAX( WRKBL, M + LWORK_DORGLQ_M )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DGEBRD )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DORGBR_P )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DORGBR_Q )
WRKBL = MAX( WRKBL, BDSPAC )
- MAXWRK = MAX( M*M+WRKBL, M*M+M*N+M )
- MINWRK = MAX( 3*M+N, BDSPAC )
+ MAXWRK = MAX( M*M + WRKBL, M*M + M*N + M )
+ MINWRK = MAX( 3*M + N, BDSPAC )
ELSE IF( WNTVS .AND. WNTUN ) THEN
*
* Path 4t(N much larger than M, JOBU='N', JOBVT='S')
*
WRKBL = M + LWORK_DGELQF
- WRKBL = MAX( WRKBL, M+LWORK_DORGLQ_M )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DGEBRD )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DORGBR_P )
+ WRKBL = MAX( WRKBL, M + LWORK_DORGLQ_M )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DGEBRD )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DORGBR_P )
WRKBL = MAX( WRKBL, BDSPAC )
MAXWRK = M*M + WRKBL
- MINWRK = MAX( 3*M+N, BDSPAC )
+ MINWRK = MAX( 3*M + N, BDSPAC )
ELSE IF( WNTVS .AND. WNTUO ) THEN
*
* Path 5t(N much larger than M, JOBU='O', JOBVT='S')
*
WRKBL = M + LWORK_DGELQF
- WRKBL = MAX( WRKBL, M+LWORK_DORGLQ_M )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DGEBRD )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DORGBR_P )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DORGBR_Q )
+ WRKBL = MAX( WRKBL, M + LWORK_DORGLQ_M )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DGEBRD )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DORGBR_P )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DORGBR_Q )
WRKBL = MAX( WRKBL, BDSPAC )
MAXWRK = 2*M*M + WRKBL
- MINWRK = MAX( 3*M+N, BDSPAC )
+ MINWRK = MAX( 3*M + N, BDSPAC )
ELSE IF( WNTVS .AND. WNTUAS ) THEN
*
* Path 6t(N much larger than M, JOBU='S' or 'A',
* JOBVT='S')
*
WRKBL = M + LWORK_DGELQF
- WRKBL = MAX( WRKBL, M+LWORK_DORGLQ_M )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DGEBRD )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DORGBR_P )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DORGBR_Q )
+ WRKBL = MAX( WRKBL, M + LWORK_DORGLQ_M )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DGEBRD )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DORGBR_P )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DORGBR_Q )
WRKBL = MAX( WRKBL, BDSPAC )
MAXWRK = M*M + WRKBL
- MINWRK = MAX( 3*M+N, BDSPAC )
+ MINWRK = MAX( 3*M + N, BDSPAC )
ELSE IF( WNTVA .AND. WNTUN ) THEN
*
* Path 7t(N much larger than M, JOBU='N', JOBVT='A')
*
WRKBL = M + LWORK_DGELQF
- WRKBL = MAX( WRKBL, M+LWORK_DORGLQ_N )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DGEBRD )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DORGBR_P )
+ WRKBL = MAX( WRKBL, M + LWORK_DORGLQ_N )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DGEBRD )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DORGBR_P )
WRKBL = MAX( WRKBL, BDSPAC )
MAXWRK = M*M + WRKBL
- MINWRK = MAX( 3*M+N, BDSPAC )
+ MINWRK = MAX( 3*M + N, BDSPAC )
ELSE IF( WNTVA .AND. WNTUO ) THEN
*
* Path 8t(N much larger than M, JOBU='O', JOBVT='A')
*
WRKBL = M + LWORK_DGELQF
- WRKBL = MAX( WRKBL, M+LWORK_DORGLQ_N )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DGEBRD )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DORGBR_P )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DORGBR_Q )
+ WRKBL = MAX( WRKBL, M + LWORK_DORGLQ_N )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DGEBRD )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DORGBR_P )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DORGBR_Q )
WRKBL = MAX( WRKBL, BDSPAC )
MAXWRK = 2*M*M + WRKBL
- MINWRK = MAX( 3*M+N, BDSPAC )
+ MINWRK = MAX( 3*M + N, BDSPAC )
ELSE IF( WNTVA .AND. WNTUAS ) THEN
*
* Path 9t(N much larger than M, JOBU='S' or 'A',
* JOBVT='A')
*
WRKBL = M + LWORK_DGELQF
- WRKBL = MAX( WRKBL, M+LWORK_DORGLQ_N )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DGEBRD )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DORGBR_P )
- WRKBL = MAX( WRKBL, 3*M+LWORK_DORGBR_Q )
+ WRKBL = MAX( WRKBL, M + LWORK_DORGLQ_N )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DGEBRD )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DORGBR_P )
+ WRKBL = MAX( WRKBL, 3*M + LWORK_DORGBR_Q )
WRKBL = MAX( WRKBL, BDSPAC )
MAXWRK = M*M + WRKBL
- MINWRK = MAX( 3*M+N, BDSPAC )
+ MINWRK = MAX( 3*M + N, BDSPAC )
END IF
ELSE
*
@@ -607,26 +607,26 @@
*
CALL DGEBRD( M, N, A, LDA, S, DUM(1), DUM(1),
$ DUM(1), DUM(1), -1, IERR )
- LWORK_DGEBRD=DUM(1)
+ LWORK_DGEBRD = INT( DUM(1) )
MAXWRK = 3*M + LWORK_DGEBRD
IF( WNTVS .OR. WNTVO ) THEN
* Compute space needed for DORGBR P
CALL DORGBR( 'P', M, N, M, A, N, DUM(1),
$ DUM(1), -1, IERR )
- LWORK_DORGBR_P=DUM(1)
- MAXWRK = MAX( MAXWRK, 3*M+LWORK_DORGBR_P )
+ LWORK_DORGBR_P = INT( DUM(1) )
+ MAXWRK = MAX( MAXWRK, 3*M + LWORK_DORGBR_P )
END IF
IF( WNTVA ) THEN
CALL DORGBR( 'P', N, N, M, A, N, DUM(1),
$ DUM(1), -1, IERR )
- LWORK_DORGBR_P=DUM(1)
- MAXWRK = MAX( MAXWRK, 3*M+LWORK_DORGBR_P )
+ LWORK_DORGBR_P = INT( DUM(1) )
+ MAXWRK = MAX( MAXWRK, 3*M + LWORK_DORGBR_P )
END IF
IF( .NOT.WNTUN ) THEN
- MAXWRK = MAX( MAXWRK, 3*M+LWORK_DORGBR_Q )
+ MAXWRK = MAX( MAXWRK, 3*M + LWORK_DORGBR_Q )
END IF
MAXWRK = MAX( MAXWRK, BDSPAC )
- MINWRK = MAX( 3*M+N, BDSPAC )
+ MINWRK = MAX( 3*M + N, BDSPAC )
END IF
END IF
MAXWRK = MAX( MAXWRK, MINWRK )
@@ -685,21 +685,24 @@
IWORK = ITAU + N
*
* Compute A=Q*R
-* (Workspace: need 2*N, prefer N+N*NB)
+* (Workspace: need 2*N, prefer N + N*NB)
*
CALL DGEQRF( M, N, A, LDA, WORK( ITAU ), WORK( IWORK ),
$ LWORK-IWORK+1, IERR )
*
* Zero out below R
*
- CALL DLASET( 'L', N-1, N-1, ZERO, ZERO, A( 2, 1 ), LDA )
+ IF( N .GT. 1 ) THEN
+ CALL DLASET( 'L', N-1, N-1, ZERO, ZERO, A( 2, 1 ),
+ $ LDA )
+ END IF
IE = 1
ITAUQ = IE + N
ITAUP = ITAUQ + N
IWORK = ITAUP + N
*
* Bidiagonalize R in A
-* (Workspace: need 4*N, prefer 3*N+2*N*NB)
+* (Workspace: need 4*N, prefer 3*N + 2*N*NB)
*
CALL DGEBRD( N, N, A, LDA, S, WORK( IE ), WORK( ITAUQ ),
$ WORK( ITAUP ), WORK( IWORK ), LWORK-IWORK+1,
@@ -708,7 +711,7 @@
IF( WNTVO .OR. WNTVAS ) THEN
*
* If right singular vectors desired, generate P'.
-* (Workspace: need 4*N-1, prefer 3*N+(N-1)*NB)
+* (Workspace: need 4*N-1, prefer 3*N + (N-1)*NB)
*
CALL DORGBR( 'P', N, N, N, A, LDA, WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -739,13 +742,13 @@
* Sufficient workspace for a fast algorithm
*
IR = 1
- IF( LWORK.GE.MAX( WRKBL, LDA*N+N )+LDA*N ) THEN
+ IF( LWORK.GE.MAX( WRKBL, LDA*N + N ) + LDA*N ) THEN
*
* WORK(IU) is LDA by N, WORK(IR) is LDA by N
*
LDWRKU = LDA
LDWRKR = LDA
- ELSE IF( LWORK.GE.MAX( WRKBL, LDA*N+N )+N*N ) THEN
+ ELSE IF( LWORK.GE.MAX( WRKBL, LDA*N + N ) + N*N ) THEN
*
* WORK(IU) is LDA by N, WORK(IR) is N by N
*
@@ -762,7 +765,7 @@
IWORK = ITAU + N
*
* Compute A=Q*R
-* (Workspace: need N*N+2*N, prefer N*N+N+N*NB)
+* (Workspace: need N*N + 2*N, prefer N*N + N + N*NB)
*
CALL DGEQRF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -774,7 +777,7 @@
$ LDWRKR )
*
* Generate Q in A
-* (Workspace: need N*N+2*N, prefer N*N+N+N*NB)
+* (Workspace: need N*N + 2*N, prefer N*N + N + N*NB)
*
CALL DORGQR( M, N, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -784,14 +787,14 @@
IWORK = ITAUP + N
*
* Bidiagonalize R in WORK(IR)
-* (Workspace: need N*N+4*N, prefer N*N+3*N+2*N*NB)
+* (Workspace: need N*N + 4*N, prefer N*N + 3*N + 2*N*NB)
*
CALL DGEBRD( N, N, WORK( IR ), LDWRKR, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
*
* Generate left vectors bidiagonalizing R
-* (Workspace: need N*N+4*N, prefer N*N+3*N+N*NB)
+* (Workspace: need N*N + 4*N, prefer N*N + 3*N + N*NB)
*
CALL DORGBR( 'Q', N, N, N, WORK( IR ), LDWRKR,
$ WORK( ITAUQ ), WORK( IWORK ),
@@ -800,7 +803,7 @@
*
* Perform bidiagonal QR iteration, computing left
* singular vectors of R in WORK(IR)
-* (Workspace: need N*N+BDSPAC)
+* (Workspace: need N*N + BDSPAC)
*
CALL DBDSQR( 'U', N, 0, N, 0, S, WORK( IE ), DUM, 1,
$ WORK( IR ), LDWRKR, DUM, 1,
@@ -809,7 +812,7 @@
*
* Multiply Q in A by left singular vectors of R in
* WORK(IR), storing result in WORK(IU) and copying to A
-* (Workspace: need N*N+2*N, prefer N*N+M*N+N)
+* (Workspace: need N*N + 2*N, prefer N*N + M*N + N)
*
DO 10 I = 1, M, LDWRKU
CHUNK = MIN( M-I+1, LDWRKU )
@@ -830,14 +833,14 @@
IWORK = ITAUP + N
*
* Bidiagonalize A
-* (Workspace: need 3*N+M, prefer 3*N+(M+N)*NB)
+* (Workspace: need 3*N + M, prefer 3*N + (M + N)*NB)
*
CALL DGEBRD( M, N, A, LDA, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
*
* Generate left vectors bidiagonalizing A
-* (Workspace: need 4*N, prefer 3*N+N*NB)
+* (Workspace: need 4*N, prefer 3*N + N*NB)
*
CALL DORGBR( 'Q', M, N, N, A, LDA, WORK( ITAUQ ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -863,13 +866,13 @@
* Sufficient workspace for a fast algorithm
*
IR = 1
- IF( LWORK.GE.MAX( WRKBL, LDA*N+N )+LDA*N ) THEN
+ IF( LWORK.GE.MAX( WRKBL, LDA*N + N ) + LDA*N ) THEN
*
* WORK(IU) is LDA by N and WORK(IR) is LDA by N
*
LDWRKU = LDA
LDWRKR = LDA
- ELSE IF( LWORK.GE.MAX( WRKBL, LDA*N+N )+N*N ) THEN
+ ELSE IF( LWORK.GE.MAX( WRKBL, LDA*N + N ) + N*N ) THEN
*
* WORK(IU) is LDA by N and WORK(IR) is N by N
*
@@ -886,7 +889,7 @@
IWORK = ITAU + N
*
* Compute A=Q*R
-* (Workspace: need N*N+2*N, prefer N*N+N+N*NB)
+* (Workspace: need N*N + 2*N, prefer N*N + N + N*NB)
*
CALL DGEQRF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -899,7 +902,7 @@
$ VT( 2, 1 ), LDVT )
*
* Generate Q in A
-* (Workspace: need N*N+2*N, prefer N*N+N+N*NB)
+* (Workspace: need N*N + 2*N, prefer N*N + N + N*NB)
*
CALL DORGQR( M, N, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -909,7 +912,7 @@
IWORK = ITAUP + N
*
* Bidiagonalize R in VT, copying result to WORK(IR)
-* (Workspace: need N*N+4*N, prefer N*N+3*N+2*N*NB)
+* (Workspace: need N*N + 4*N, prefer N*N + 3*N + 2*N*NB)
*
CALL DGEBRD( N, N, VT, LDVT, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
@@ -917,14 +920,14 @@
CALL DLACPY( 'L', N, N, VT, LDVT, WORK( IR ), LDWRKR )
*
* Generate left vectors bidiagonalizing R in WORK(IR)
-* (Workspace: need N*N+4*N, prefer N*N+3*N+N*NB)
+* (Workspace: need N*N + 4*N, prefer N*N + 3*N + N*NB)
*
CALL DORGBR( 'Q', N, N, N, WORK( IR ), LDWRKR,
$ WORK( ITAUQ ), WORK( IWORK ),
$ LWORK-IWORK+1, IERR )
*
* Generate right vectors bidiagonalizing R in VT
-* (Workspace: need N*N+4*N-1, prefer N*N+3*N+(N-1)*NB)
+* (Workspace: need N*N + 4*N-1, prefer N*N + 3*N + (N-1)*NB)
*
CALL DORGBR( 'P', N, N, N, VT, LDVT, WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -933,7 +936,7 @@
* Perform bidiagonal QR iteration, computing left
* singular vectors of R in WORK(IR) and computing right
* singular vectors of R in VT
-* (Workspace: need N*N+BDSPAC)
+* (Workspace: need N*N + BDSPAC)
*
CALL DBDSQR( 'U', N, N, N, 0, S, WORK( IE ), VT, LDVT,
$ WORK( IR ), LDWRKR, DUM, 1,
@@ -942,7 +945,7 @@
*
* Multiply Q in A by left singular vectors of R in
* WORK(IR), storing result in WORK(IU) and copying to A
-* (Workspace: need N*N+2*N, prefer N*N+M*N+N)
+* (Workspace: need N*N + 2*N, prefer N*N + M*N + N)
*
DO 20 I = 1, M, LDWRKU
CHUNK = MIN( M-I+1, LDWRKU )
@@ -961,7 +964,7 @@
IWORK = ITAU + N
*
* Compute A=Q*R
-* (Workspace: need 2*N, prefer N+N*NB)
+* (Workspace: need 2*N, prefer N + N*NB)
*
CALL DGEQRF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -974,7 +977,7 @@
$ VT( 2, 1 ), LDVT )
*
* Generate Q in A
-* (Workspace: need 2*N, prefer N+N*NB)
+* (Workspace: need 2*N, prefer N + N*NB)
*
CALL DORGQR( M, N, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -984,21 +987,21 @@
IWORK = ITAUP + N
*
* Bidiagonalize R in VT
-* (Workspace: need 4*N, prefer 3*N+2*N*NB)
+* (Workspace: need 4*N, prefer 3*N + 2*N*NB)
*
CALL DGEBRD( N, N, VT, LDVT, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
*
* Multiply Q in A by left vectors bidiagonalizing R
-* (Workspace: need 3*N+M, prefer 3*N+M*NB)
+* (Workspace: need 3*N + M, prefer 3*N + M*NB)
*
CALL DORMBR( 'Q', 'R', 'N', M, N, N, VT, LDVT,
$ WORK( ITAUQ ), A, LDA, WORK( IWORK ),
$ LWORK-IWORK+1, IERR )
*
* Generate right vectors bidiagonalizing R in VT
-* (Workspace: need 4*N-1, prefer 3*N+(N-1)*NB)
+* (Workspace: need 4*N-1, prefer 3*N + (N-1)*NB)
*
CALL DORGBR( 'P', N, N, N, VT, LDVT, WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1042,7 +1045,7 @@
IWORK = ITAU + N
*
* Compute A=Q*R
-* (Workspace: need N*N+2*N, prefer N*N+N+N*NB)
+* (Workspace: need N*N + 2*N, prefer N*N + N + N*NB)
*
CALL DGEQRF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1055,7 +1058,7 @@
$ WORK( IR+1 ), LDWRKR )
*
* Generate Q in A
-* (Workspace: need N*N+2*N, prefer N*N+N+N*NB)
+* (Workspace: need N*N + 2*N, prefer N*N + N + N*NB)
*
CALL DORGQR( M, N, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1065,7 +1068,7 @@
IWORK = ITAUP + N
*
* Bidiagonalize R in WORK(IR)
-* (Workspace: need N*N+4*N, prefer N*N+3*N+2*N*NB)
+* (Workspace: need N*N + 4*N, prefer N*N + 3*N + 2*N*NB)
*
CALL DGEBRD( N, N, WORK( IR ), LDWRKR, S,
$ WORK( IE ), WORK( ITAUQ ),
@@ -1073,7 +1076,7 @@
$ LWORK-IWORK+1, IERR )
*
* Generate left vectors bidiagonalizing R in WORK(IR)
-* (Workspace: need N*N+4*N, prefer N*N+3*N+N*NB)
+* (Workspace: need N*N + 4*N, prefer N*N + 3*N + N*NB)
*
CALL DORGBR( 'Q', N, N, N, WORK( IR ), LDWRKR,
$ WORK( ITAUQ ), WORK( IWORK ),
@@ -1082,7 +1085,7 @@
*
* Perform bidiagonal QR iteration, computing left
* singular vectors of R in WORK(IR)
-* (Workspace: need N*N+BDSPAC)
+* (Workspace: need N*N + BDSPAC)
*
CALL DBDSQR( 'U', N, 0, N, 0, S, WORK( IE ), DUM,
$ 1, WORK( IR ), LDWRKR, DUM, 1,
@@ -1103,14 +1106,14 @@
IWORK = ITAU + N
*
* Compute A=Q*R, copying result to U
-* (Workspace: need 2*N, prefer N+N*NB)
+* (Workspace: need 2*N, prefer N + N*NB)
*
CALL DGEQRF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
CALL DLACPY( 'L', M, N, A, LDA, U, LDU )
*
* Generate Q in U
-* (Workspace: need 2*N, prefer N+N*NB)
+* (Workspace: need 2*N, prefer N + N*NB)
*
CALL DORGQR( M, N, N, U, LDU, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1121,18 +1124,20 @@
*
* Zero out below R in A
*
- CALL DLASET( 'L', N-1, N-1, ZERO, ZERO, A( 2, 1 ),
- $ LDA )
+ IF( N .GT. 1 ) THEN
+ CALL DLASET( 'L', N-1, N-1, ZERO, ZERO,
+ $ A( 2, 1 ), LDA )
+ END IF
*
* Bidiagonalize R in A
-* (Workspace: need 4*N, prefer 3*N+2*N*NB)
+* (Workspace: need 4*N, prefer 3*N + 2*N*NB)
*
CALL DGEBRD( N, N, A, LDA, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
*
* Multiply Q in U by left vectors bidiagonalizing R
-* (Workspace: need 3*N+M, prefer 3*N+M*NB)
+* (Workspace: need 3*N + M, prefer 3*N + M*NB)
*
CALL DORMBR( 'Q', 'R', 'N', M, N, N, A, LDA,
$ WORK( ITAUQ ), U, LDU, WORK( IWORK ),
@@ -1167,7 +1172,7 @@
LDWRKU = LDA
IR = IU + LDWRKU*N
LDWRKR = LDA
- ELSE IF( LWORK.GE.WRKBL+( LDA+N )*N ) THEN
+ ELSE IF( LWORK.GE.WRKBL+( LDA + N )*N ) THEN
*
* WORK(IU) is LDA by N and WORK(IR) is N by N
*
@@ -1186,7 +1191,7 @@
IWORK = ITAU + N
*
* Compute A=Q*R
-* (Workspace: need 2*N*N+2*N, prefer 2*N*N+N+N*NB)
+* (Workspace: need 2*N*N + 2*N, prefer 2*N*N + N + N*NB)
*
CALL DGEQRF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1199,7 +1204,7 @@
$ WORK( IU+1 ), LDWRKU )
*
* Generate Q in A
-* (Workspace: need 2*N*N+2*N, prefer 2*N*N+N+N*NB)
+* (Workspace: need 2*N*N + 2*N, prefer 2*N*N + N + N*NB)
*
CALL DORGQR( M, N, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1210,7 +1215,7 @@
*
* Bidiagonalize R in WORK(IU), copying result to
* WORK(IR)
-* (Workspace: need 2*N*N+4*N,
+* (Workspace: need 2*N*N + 4*N,
* prefer 2*N*N+3*N+2*N*NB)
*
CALL DGEBRD( N, N, WORK( IU ), LDWRKU, S,
@@ -1221,14 +1226,14 @@
$ WORK( IR ), LDWRKR )
*
* Generate left bidiagonalizing vectors in WORK(IU)
-* (Workspace: need 2*N*N+4*N, prefer 2*N*N+3*N+N*NB)
+* (Workspace: need 2*N*N + 4*N, prefer 2*N*N + 3*N + N*NB)
*
CALL DORGBR( 'Q', N, N, N, WORK( IU ), LDWRKU,
$ WORK( ITAUQ ), WORK( IWORK ),
$ LWORK-IWORK+1, IERR )
*
* Generate right bidiagonalizing vectors in WORK(IR)
-* (Workspace: need 2*N*N+4*N-1,
+* (Workspace: need 2*N*N + 4*N-1,
* prefer 2*N*N+3*N+(N-1)*NB)
*
CALL DORGBR( 'P', N, N, N, WORK( IR ), LDWRKR,
@@ -1239,7 +1244,7 @@
* Perform bidiagonal QR iteration, computing left
* singular vectors of R in WORK(IU) and computing
* right singular vectors of R in WORK(IR)
-* (Workspace: need 2*N*N+BDSPAC)
+* (Workspace: need 2*N*N + BDSPAC)
*
CALL DBDSQR( 'U', N, N, N, 0, S, WORK( IE ),
$ WORK( IR ), LDWRKR, WORK( IU ),
@@ -1266,14 +1271,14 @@
IWORK = ITAU + N
*
* Compute A=Q*R, copying result to U
-* (Workspace: need 2*N, prefer N+N*NB)
+* (Workspace: need 2*N, prefer N + N*NB)
*
CALL DGEQRF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
CALL DLACPY( 'L', M, N, A, LDA, U, LDU )
*
* Generate Q in U
-* (Workspace: need 2*N, prefer N+N*NB)
+* (Workspace: need 2*N, prefer N + N*NB)
*
CALL DORGQR( M, N, N, U, LDU, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1284,25 +1289,27 @@
*
* Zero out below R in A
*
- CALL DLASET( 'L', N-1, N-1, ZERO, ZERO, A( 2, 1 ),
- $ LDA )
+ IF( N .GT. 1 ) THEN
+ CALL DLASET( 'L', N-1, N-1, ZERO, ZERO,
+ $ A( 2, 1 ), LDA )
+ END IF
*
* Bidiagonalize R in A
-* (Workspace: need 4*N, prefer 3*N+2*N*NB)
+* (Workspace: need 4*N, prefer 3*N + 2*N*NB)
*
CALL DGEBRD( N, N, A, LDA, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
*
* Multiply Q in U by left vectors bidiagonalizing R
-* (Workspace: need 3*N+M, prefer 3*N+M*NB)
+* (Workspace: need 3*N + M, prefer 3*N + M*NB)
*
CALL DORMBR( 'Q', 'R', 'N', M, N, N, A, LDA,
$ WORK( ITAUQ ), U, LDU, WORK( IWORK ),
$ LWORK-IWORK+1, IERR )
*
* Generate right vectors bidiagonalizing R in A
-* (Workspace: need 4*N-1, prefer 3*N+(N-1)*NB)
+* (Workspace: need 4*N-1, prefer 3*N + (N-1)*NB)
*
CALL DORGBR( 'P', N, N, N, A, LDA, WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1346,7 +1353,7 @@
IWORK = ITAU + N
*
* Compute A=Q*R
-* (Workspace: need N*N+2*N, prefer N*N+N+N*NB)
+* (Workspace: need N*N + 2*N, prefer N*N + N + N*NB)
*
CALL DGEQRF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1359,7 +1366,7 @@
$ WORK( IU+1 ), LDWRKU )
*
* Generate Q in A
-* (Workspace: need N*N+2*N, prefer N*N+N+N*NB)
+* (Workspace: need N*N + 2*N, prefer N*N + N + N*NB)
*
CALL DORGQR( M, N, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1369,7 +1376,7 @@
IWORK = ITAUP + N
*
* Bidiagonalize R in WORK(IU), copying result to VT
-* (Workspace: need N*N+4*N, prefer N*N+3*N+2*N*NB)
+* (Workspace: need N*N + 4*N, prefer N*N + 3*N + 2*N*NB)
*
CALL DGEBRD( N, N, WORK( IU ), LDWRKU, S,
$ WORK( IE ), WORK( ITAUQ ),
@@ -1379,14 +1386,14 @@
$ LDVT )
*
* Generate left bidiagonalizing vectors in WORK(IU)
-* (Workspace: need N*N+4*N, prefer N*N+3*N+N*NB)
+* (Workspace: need N*N + 4*N, prefer N*N + 3*N + N*NB)
*
CALL DORGBR( 'Q', N, N, N, WORK( IU ), LDWRKU,
$ WORK( ITAUQ ), WORK( IWORK ),
$ LWORK-IWORK+1, IERR )
*
* Generate right bidiagonalizing vectors in VT
-* (Workspace: need N*N+4*N-1,
+* (Workspace: need N*N + 4*N-1,
* prefer N*N+3*N+(N-1)*NB)
*
CALL DORGBR( 'P', N, N, N, VT, LDVT, WORK( ITAUP ),
@@ -1396,7 +1403,7 @@
* Perform bidiagonal QR iteration, computing left
* singular vectors of R in WORK(IU) and computing
* right singular vectors of R in VT
-* (Workspace: need N*N+BDSPAC)
+* (Workspace: need N*N + BDSPAC)
*
CALL DBDSQR( 'U', N, N, N, 0, S, WORK( IE ), VT,
$ LDVT, WORK( IU ), LDWRKU, DUM, 1,
@@ -1417,14 +1424,14 @@
IWORK = ITAU + N
*
* Compute A=Q*R, copying result to U
-* (Workspace: need 2*N, prefer N+N*NB)
+* (Workspace: need 2*N, prefer N + N*NB)
*
CALL DGEQRF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
CALL DLACPY( 'L', M, N, A, LDA, U, LDU )
*
* Generate Q in U
-* (Workspace: need 2*N, prefer N+N*NB)
+* (Workspace: need 2*N, prefer N + N*NB)
*
CALL DORGQR( M, N, N, U, LDU, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1441,7 +1448,7 @@
IWORK = ITAUP + N
*
* Bidiagonalize R in VT
-* (Workspace: need 4*N, prefer 3*N+2*N*NB)
+* (Workspace: need 4*N, prefer 3*N + 2*N*NB)
*
CALL DGEBRD( N, N, VT, LDVT, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
@@ -1449,14 +1456,14 @@
*
* Multiply Q in U by left bidiagonalizing vectors
* in VT
-* (Workspace: need 3*N+M, prefer 3*N+M*NB)
+* (Workspace: need 3*N + M, prefer 3*N + M*NB)
*
CALL DORMBR( 'Q', 'R', 'N', M, N, N, VT, LDVT,
$ WORK( ITAUQ ), U, LDU, WORK( IWORK ),
$ LWORK-IWORK+1, IERR )
*
* Generate right bidiagonalizing vectors in VT
-* (Workspace: need 4*N-1, prefer 3*N+(N-1)*NB)
+* (Workspace: need 4*N-1, prefer 3*N + (N-1)*NB)
*
CALL DORGBR( 'P', N, N, N, VT, LDVT, WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1503,7 +1510,7 @@
IWORK = ITAU + N
*
* Compute A=Q*R, copying result to U
-* (Workspace: need N*N+2*N, prefer N*N+N+N*NB)
+* (Workspace: need N*N + 2*N, prefer N*N + N + N*NB)
*
CALL DGEQRF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1517,7 +1524,7 @@
$ WORK( IR+1 ), LDWRKR )
*
* Generate Q in U
-* (Workspace: need N*N+N+M, prefer N*N+N+M*NB)
+* (Workspace: need N*N + N + M, prefer N*N + N + M*NB)
*
CALL DORGQR( M, M, N, U, LDU, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1527,7 +1534,7 @@
IWORK = ITAUP + N
*
* Bidiagonalize R in WORK(IR)
-* (Workspace: need N*N+4*N, prefer N*N+3*N+2*N*NB)
+* (Workspace: need N*N + 4*N, prefer N*N + 3*N + 2*N*NB)
*
CALL DGEBRD( N, N, WORK( IR ), LDWRKR, S,
$ WORK( IE ), WORK( ITAUQ ),
@@ -1535,7 +1542,7 @@
$ LWORK-IWORK+1, IERR )
*
* Generate left bidiagonalizing vectors in WORK(IR)
-* (Workspace: need N*N+4*N, prefer N*N+3*N+N*NB)
+* (Workspace: need N*N + 4*N, prefer N*N + 3*N + N*NB)
*
CALL DORGBR( 'Q', N, N, N, WORK( IR ), LDWRKR,
$ WORK( ITAUQ ), WORK( IWORK ),
@@ -1544,7 +1551,7 @@
*
* Perform bidiagonal QR iteration, computing left
* singular vectors of R in WORK(IR)
-* (Workspace: need N*N+BDSPAC)
+* (Workspace: need N*N + BDSPAC)
*
CALL DBDSQR( 'U', N, 0, N, 0, S, WORK( IE ), DUM,
$ 1, WORK( IR ), LDWRKR, DUM, 1,
@@ -1569,14 +1576,14 @@
IWORK = ITAU + N
*
* Compute A=Q*R, copying result to U
-* (Workspace: need 2*N, prefer N+N*NB)
+* (Workspace: need 2*N, prefer N + N*NB)
*
CALL DGEQRF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
CALL DLACPY( 'L', M, N, A, LDA, U, LDU )
*
* Generate Q in U
-* (Workspace: need N+M, prefer N+M*NB)
+* (Workspace: need N + M, prefer N + M*NB)
*
CALL DORGQR( M, M, N, U, LDU, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1587,11 +1594,13 @@
*
* Zero out below R in A
*
- CALL DLASET( 'L', N-1, N-1, ZERO, ZERO, A( 2, 1 ),
- $ LDA )
+ IF( N .GT. 1 ) THEN
+ CALL DLASET( 'L', N-1, N-1, ZERO, ZERO,
+ $ A( 2, 1 ), LDA )
+ END IF
*
* Bidiagonalize R in A
-* (Workspace: need 4*N, prefer 3*N+2*N*NB)
+* (Workspace: need 4*N, prefer 3*N + 2*N*NB)
*
CALL DGEBRD( N, N, A, LDA, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
@@ -1599,7 +1608,7 @@
*
* Multiply Q in U by left bidiagonalizing vectors
* in A
-* (Workspace: need 3*N+M, prefer 3*N+M*NB)
+* (Workspace: need 3*N + M, prefer 3*N + M*NB)
*
CALL DORMBR( 'Q', 'R', 'N', M, N, N, A, LDA,
$ WORK( ITAUQ ), U, LDU, WORK( IWORK ),
@@ -1634,7 +1643,7 @@
LDWRKU = LDA
IR = IU + LDWRKU*N
LDWRKR = LDA
- ELSE IF( LWORK.GE.WRKBL+( LDA+N )*N ) THEN
+ ELSE IF( LWORK.GE.WRKBL+( LDA + N )*N ) THEN
*
* WORK(IU) is LDA by N and WORK(IR) is N by N
*
@@ -1653,14 +1662,14 @@
IWORK = ITAU + N
*
* Compute A=Q*R, copying result to U
-* (Workspace: need 2*N*N+2*N, prefer 2*N*N+N+N*NB)
+* (Workspace: need 2*N*N + 2*N, prefer 2*N*N + N + N*NB)
*
CALL DGEQRF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
CALL DLACPY( 'L', M, N, A, LDA, U, LDU )
*
* Generate Q in U
-* (Workspace: need 2*N*N+N+M, prefer 2*N*N+N+M*NB)
+* (Workspace: need 2*N*N + N + M, prefer 2*N*N + N + M*NB)
*
CALL DORGQR( M, M, N, U, LDU, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1678,7 +1687,7 @@
*
* Bidiagonalize R in WORK(IU), copying result to
* WORK(IR)
-* (Workspace: need 2*N*N+4*N,
+* (Workspace: need 2*N*N + 4*N,
* prefer 2*N*N+3*N+2*N*NB)
*
CALL DGEBRD( N, N, WORK( IU ), LDWRKU, S,
@@ -1689,14 +1698,14 @@
$ WORK( IR ), LDWRKR )
*
* Generate left bidiagonalizing vectors in WORK(IU)
-* (Workspace: need 2*N*N+4*N, prefer 2*N*N+3*N+N*NB)
+* (Workspace: need 2*N*N + 4*N, prefer 2*N*N + 3*N + N*NB)
*
CALL DORGBR( 'Q', N, N, N, WORK( IU ), LDWRKU,
$ WORK( ITAUQ ), WORK( IWORK ),
$ LWORK-IWORK+1, IERR )
*
* Generate right bidiagonalizing vectors in WORK(IR)
-* (Workspace: need 2*N*N+4*N-1,
+* (Workspace: need 2*N*N + 4*N-1,
* prefer 2*N*N+3*N+(N-1)*NB)
*
CALL DORGBR( 'P', N, N, N, WORK( IR ), LDWRKR,
@@ -1707,7 +1716,7 @@
* Perform bidiagonal QR iteration, computing left
* singular vectors of R in WORK(IU) and computing
* right singular vectors of R in WORK(IR)
-* (Workspace: need 2*N*N+BDSPAC)
+* (Workspace: need 2*N*N + BDSPAC)
*
CALL DBDSQR( 'U', N, N, N, 0, S, WORK( IE ),
$ WORK( IR ), LDWRKR, WORK( IU ),
@@ -1737,14 +1746,14 @@
IWORK = ITAU + N
*
* Compute A=Q*R, copying result to U
-* (Workspace: need 2*N, prefer N+N*NB)
+* (Workspace: need 2*N, prefer N + N*NB)
*
CALL DGEQRF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
CALL DLACPY( 'L', M, N, A, LDA, U, LDU )
*
* Generate Q in U
-* (Workspace: need N+M, prefer N+M*NB)
+* (Workspace: need N + M, prefer N + M*NB)
*
CALL DORGQR( M, M, N, U, LDU, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1755,11 +1764,13 @@
*
* Zero out below R in A
*
- CALL DLASET( 'L', N-1, N-1, ZERO, ZERO, A( 2, 1 ),
- $ LDA )
+ IF( N .GT. 1 ) THEN
+ CALL DLASET( 'L', N-1, N-1, ZERO, ZERO,
+ $ A( 2, 1 ), LDA )
+ END IF
*
* Bidiagonalize R in A
-* (Workspace: need 4*N, prefer 3*N+2*N*NB)
+* (Workspace: need 4*N, prefer 3*N + 2*N*NB)
*
CALL DGEBRD( N, N, A, LDA, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
@@ -1767,14 +1778,14 @@
*
* Multiply Q in U by left bidiagonalizing vectors
* in A
-* (Workspace: need 3*N+M, prefer 3*N+M*NB)
+* (Workspace: need 3*N + M, prefer 3*N + M*NB)
*
CALL DORMBR( 'Q', 'R', 'N', M, N, N, A, LDA,
$ WORK( ITAUQ ), U, LDU, WORK( IWORK ),
$ LWORK-IWORK+1, IERR )
*
* Generate right bidiagonalizing vectors in A
-* (Workspace: need 4*N-1, prefer 3*N+(N-1)*NB)
+* (Workspace: need 4*N-1, prefer 3*N + (N-1)*NB)
*
CALL DORGBR( 'P', N, N, N, A, LDA, WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1818,14 +1829,14 @@
IWORK = ITAU + N
*
* Compute A=Q*R, copying result to U
-* (Workspace: need N*N+2*N, prefer N*N+N+N*NB)
+* (Workspace: need N*N + 2*N, prefer N*N + N + N*NB)
*
CALL DGEQRF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
CALL DLACPY( 'L', M, N, A, LDA, U, LDU )
*
* Generate Q in U
-* (Workspace: need N*N+N+M, prefer N*N+N+M*NB)
+* (Workspace: need N*N + N + M, prefer N*N + N + M*NB)
*
CALL DORGQR( M, M, N, U, LDU, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1842,7 +1853,7 @@
IWORK = ITAUP + N
*
* Bidiagonalize R in WORK(IU), copying result to VT
-* (Workspace: need N*N+4*N, prefer N*N+3*N+2*N*NB)
+* (Workspace: need N*N + 4*N, prefer N*N + 3*N + 2*N*NB)
*
CALL DGEBRD( N, N, WORK( IU ), LDWRKU, S,
$ WORK( IE ), WORK( ITAUQ ),
@@ -1852,14 +1863,14 @@
$ LDVT )
*
* Generate left bidiagonalizing vectors in WORK(IU)
-* (Workspace: need N*N+4*N, prefer N*N+3*N+N*NB)
+* (Workspace: need N*N + 4*N, prefer N*N + 3*N + N*NB)
*
CALL DORGBR( 'Q', N, N, N, WORK( IU ), LDWRKU,
$ WORK( ITAUQ ), WORK( IWORK ),
$ LWORK-IWORK+1, IERR )
*
* Generate right bidiagonalizing vectors in VT
-* (Workspace: need N*N+4*N-1,
+* (Workspace: need N*N + 4*N-1,
* prefer N*N+3*N+(N-1)*NB)
*
CALL DORGBR( 'P', N, N, N, VT, LDVT, WORK( ITAUP ),
@@ -1869,7 +1880,7 @@
* Perform bidiagonal QR iteration, computing left
* singular vectors of R in WORK(IU) and computing
* right singular vectors of R in VT
-* (Workspace: need N*N+BDSPAC)
+* (Workspace: need N*N + BDSPAC)
*
CALL DBDSQR( 'U', N, N, N, 0, S, WORK( IE ), VT,
$ LDVT, WORK( IU ), LDWRKU, DUM, 1,
@@ -1894,14 +1905,14 @@
IWORK = ITAU + N
*
* Compute A=Q*R, copying result to U
-* (Workspace: need 2*N, prefer N+N*NB)
+* (Workspace: need 2*N, prefer N + N*NB)
*
CALL DGEQRF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
CALL DLACPY( 'L', M, N, A, LDA, U, LDU )
*
* Generate Q in U
-* (Workspace: need N+M, prefer N+M*NB)
+* (Workspace: need N + M, prefer N + M*NB)
*
CALL DORGQR( M, M, N, U, LDU, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1918,7 +1929,7 @@
IWORK = ITAUP + N
*
* Bidiagonalize R in VT
-* (Workspace: need 4*N, prefer 3*N+2*N*NB)
+* (Workspace: need 4*N, prefer 3*N + 2*N*NB)
*
CALL DGEBRD( N, N, VT, LDVT, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
@@ -1926,14 +1937,14 @@
*
* Multiply Q in U by left bidiagonalizing vectors
* in VT
-* (Workspace: need 3*N+M, prefer 3*N+M*NB)
+* (Workspace: need 3*N + M, prefer 3*N + M*NB)
*
CALL DORMBR( 'Q', 'R', 'N', M, N, N, VT, LDVT,
$ WORK( ITAUQ ), U, LDU, WORK( IWORK ),
$ LWORK-IWORK+1, IERR )
*
* Generate right bidiagonalizing vectors in VT
-* (Workspace: need 4*N-1, prefer 3*N+(N-1)*NB)
+* (Workspace: need 4*N-1, prefer 3*N + (N-1)*NB)
*
CALL DORGBR( 'P', N, N, N, VT, LDVT, WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -1967,7 +1978,7 @@
IWORK = ITAUP + N
*
* Bidiagonalize A
-* (Workspace: need 3*N+M, prefer 3*N+(M+N)*NB)
+* (Workspace: need 3*N + M, prefer 3*N + (M + N)*NB)
*
CALL DGEBRD( M, N, A, LDA, S, WORK( IE ), WORK( ITAUQ ),
$ WORK( ITAUP ), WORK( IWORK ), LWORK-IWORK+1,
@@ -1976,7 +1987,7 @@
*
* If left singular vectors desired in U, copy result to U
* and generate left bidiagonalizing vectors in U
-* (Workspace: need 3*N+NCU, prefer 3*N+NCU*NB)
+* (Workspace: need 3*N + NCU, prefer 3*N + NCU*NB)
*
CALL DLACPY( 'L', M, N, A, LDA, U, LDU )
IF( WNTUS )
@@ -1990,7 +2001,7 @@
*
* If right singular vectors desired in VT, copy result to
* VT and generate right bidiagonalizing vectors in VT
-* (Workspace: need 4*N-1, prefer 3*N+(N-1)*NB)
+* (Workspace: need 4*N-1, prefer 3*N + (N-1)*NB)
*
CALL DLACPY( 'U', N, N, A, LDA, VT, LDVT )
CALL DORGBR( 'P', N, N, N, VT, LDVT, WORK( ITAUP ),
@@ -2000,7 +2011,7 @@
*
* If left singular vectors desired in A, generate left
* bidiagonalizing vectors in A
-* (Workspace: need 4*N, prefer 3*N+N*NB)
+* (Workspace: need 4*N, prefer 3*N + N*NB)
*
CALL DORGBR( 'Q', M, N, N, A, LDA, WORK( ITAUQ ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2009,7 +2020,7 @@
*
* If right singular vectors desired in A, generate right
* bidiagonalizing vectors in A
-* (Workspace: need 4*N-1, prefer 3*N+(N-1)*NB)
+* (Workspace: need 4*N-1, prefer 3*N + (N-1)*NB)
*
CALL DORGBR( 'P', N, N, N, A, LDA, WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2071,7 +2082,7 @@
IWORK = ITAU + M
*
* Compute A=L*Q
-* (Workspace: need 2*M, prefer M+M*NB)
+* (Workspace: need 2*M, prefer M + M*NB)
*
CALL DGELQF( M, N, A, LDA, WORK( ITAU ), WORK( IWORK ),
$ LWORK-IWORK+1, IERR )
@@ -2085,7 +2096,7 @@
IWORK = ITAUP + M
*
* Bidiagonalize L in A
-* (Workspace: need 4*M, prefer 3*M+2*M*NB)
+* (Workspace: need 4*M, prefer 3*M + 2*M*NB)
*
CALL DGEBRD( M, M, A, LDA, S, WORK( IE ), WORK( ITAUQ ),
$ WORK( ITAUP ), WORK( IWORK ), LWORK-IWORK+1,
@@ -2093,7 +2104,7 @@
IF( WNTUO .OR. WNTUAS ) THEN
*
* If left singular vectors desired, generate Q
-* (Workspace: need 4*M, prefer 3*M+M*NB)
+* (Workspace: need 4*M, prefer 3*M + M*NB)
*
CALL DORGBR( 'Q', M, M, M, A, LDA, WORK( ITAUQ ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2126,14 +2137,14 @@
* Sufficient workspace for a fast algorithm
*
IR = 1
- IF( LWORK.GE.MAX( WRKBL, LDA*N+M )+LDA*M ) THEN
+ IF( LWORK.GE.MAX( WRKBL, LDA*N + M ) + LDA*M ) THEN
*
* WORK(IU) is LDA by N and WORK(IR) is LDA by M
*
LDWRKU = LDA
CHUNK = N
LDWRKR = LDA
- ELSE IF( LWORK.GE.MAX( WRKBL, LDA*N+M )+M*M ) THEN
+ ELSE IF( LWORK.GE.MAX( WRKBL, LDA*N + M ) + M*M ) THEN
*
* WORK(IU) is LDA by N and WORK(IR) is M by M
*
@@ -2152,7 +2163,7 @@
IWORK = ITAU + M
*
* Compute A=L*Q
-* (Workspace: need M*M+2*M, prefer M*M+M+M*NB)
+* (Workspace: need M*M + 2*M, prefer M*M + M + M*NB)
*
CALL DGELQF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2164,7 +2175,7 @@
$ WORK( IR+LDWRKR ), LDWRKR )
*
* Generate Q in A
-* (Workspace: need M*M+2*M, prefer M*M+M+M*NB)
+* (Workspace: need M*M + 2*M, prefer M*M + M + M*NB)
*
CALL DORGLQ( M, N, M, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2174,14 +2185,14 @@
IWORK = ITAUP + M
*
* Bidiagonalize L in WORK(IR)
-* (Workspace: need M*M+4*M, prefer M*M+3*M+2*M*NB)
+* (Workspace: need M*M + 4*M, prefer M*M + 3*M + 2*M*NB)
*
CALL DGEBRD( M, M, WORK( IR ), LDWRKR, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
*
* Generate right vectors bidiagonalizing L
-* (Workspace: need M*M+4*M-1, prefer M*M+3*M+(M-1)*NB)
+* (Workspace: need M*M + 4*M-1, prefer M*M + 3*M + (M-1)*NB)
*
CALL DORGBR( 'P', M, M, M, WORK( IR ), LDWRKR,
$ WORK( ITAUP ), WORK( IWORK ),
@@ -2190,7 +2201,7 @@
*
* Perform bidiagonal QR iteration, computing right
* singular vectors of L in WORK(IR)
-* (Workspace: need M*M+BDSPAC)
+* (Workspace: need M*M + BDSPAC)
*
CALL DBDSQR( 'U', M, M, 0, 0, S, WORK( IE ),
$ WORK( IR ), LDWRKR, DUM, 1, DUM, 1,
@@ -2199,7 +2210,7 @@
*
* Multiply right singular vectors of L in WORK(IR) by Q
* in A, storing result in WORK(IU) and copying to A
-* (Workspace: need M*M+2*M, prefer M*M+M*N+M)
+* (Workspace: need M*M + 2*M, prefer M*M + M*N + M)
*
DO 30 I = 1, N, CHUNK
BLK = MIN( N-I+1, CHUNK )
@@ -2220,14 +2231,14 @@
IWORK = ITAUP + M
*
* Bidiagonalize A
-* (Workspace: need 3*M+N, prefer 3*M+(M+N)*NB)
+* (Workspace: need 3*M + N, prefer 3*M + (M + N)*NB)
*
CALL DGEBRD( M, N, A, LDA, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
*
* Generate right vectors bidiagonalizing A
-* (Workspace: need 4*M, prefer 3*M+M*NB)
+* (Workspace: need 4*M, prefer 3*M + M*NB)
*
CALL DORGBR( 'P', M, N, M, A, LDA, WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2253,14 +2264,14 @@
* Sufficient workspace for a fast algorithm
*
IR = 1
- IF( LWORK.GE.MAX( WRKBL, LDA*N+M )+LDA*M ) THEN
+ IF( LWORK.GE.MAX( WRKBL, LDA*N + M ) + LDA*M ) THEN
*
* WORK(IU) is LDA by N and WORK(IR) is LDA by M
*
LDWRKU = LDA
CHUNK = N
LDWRKR = LDA
- ELSE IF( LWORK.GE.MAX( WRKBL, LDA*N+M )+M*M ) THEN
+ ELSE IF( LWORK.GE.MAX( WRKBL, LDA*N + M ) + M*M ) THEN
*
* WORK(IU) is LDA by N and WORK(IR) is M by M
*
@@ -2279,7 +2290,7 @@
IWORK = ITAU + M
*
* Compute A=L*Q
-* (Workspace: need M*M+2*M, prefer M*M+M+M*NB)
+* (Workspace: need M*M + 2*M, prefer M*M + M + M*NB)
*
CALL DGELQF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2291,7 +2302,7 @@
$ LDU )
*
* Generate Q in A
-* (Workspace: need M*M+2*M, prefer M*M+M+M*NB)
+* (Workspace: need M*M + 2*M, prefer M*M + M + M*NB)
*
CALL DORGLQ( M, N, M, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2301,7 +2312,7 @@
IWORK = ITAUP + M
*
* Bidiagonalize L in U, copying result to WORK(IR)
-* (Workspace: need M*M+4*M, prefer M*M+3*M+2*M*NB)
+* (Workspace: need M*M + 4*M, prefer M*M + 3*M + 2*M*NB)
*
CALL DGEBRD( M, M, U, LDU, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
@@ -2309,14 +2320,14 @@
CALL DLACPY( 'U', M, M, U, LDU, WORK( IR ), LDWRKR )
*
* Generate right vectors bidiagonalizing L in WORK(IR)
-* (Workspace: need M*M+4*M-1, prefer M*M+3*M+(M-1)*NB)
+* (Workspace: need M*M + 4*M-1, prefer M*M + 3*M + (M-1)*NB)
*
CALL DORGBR( 'P', M, M, M, WORK( IR ), LDWRKR,
$ WORK( ITAUP ), WORK( IWORK ),
$ LWORK-IWORK+1, IERR )
*
* Generate left vectors bidiagonalizing L in U
-* (Workspace: need M*M+4*M, prefer M*M+3*M+M*NB)
+* (Workspace: need M*M + 4*M, prefer M*M + 3*M + M*NB)
*
CALL DORGBR( 'Q', M, M, M, U, LDU, WORK( ITAUQ ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2325,7 +2336,7 @@
* Perform bidiagonal QR iteration, computing left
* singular vectors of L in U, and computing right
* singular vectors of L in WORK(IR)
-* (Workspace: need M*M+BDSPAC)
+* (Workspace: need M*M + BDSPAC)
*
CALL DBDSQR( 'U', M, M, M, 0, S, WORK( IE ),
$ WORK( IR ), LDWRKR, U, LDU, DUM, 1,
@@ -2334,7 +2345,7 @@
*
* Multiply right singular vectors of L in WORK(IR) by Q
* in A, storing result in WORK(IU) and copying to A
-* (Workspace: need M*M+2*M, prefer M*M+M*N+M))
+* (Workspace: need M*M + 2*M, prefer M*M + M*N + M))
*
DO 40 I = 1, N, CHUNK
BLK = MIN( N-I+1, CHUNK )
@@ -2353,7 +2364,7 @@
IWORK = ITAU + M
*
* Compute A=L*Q
-* (Workspace: need 2*M, prefer M+M*NB)
+* (Workspace: need 2*M, prefer M + M*NB)
*
CALL DGELQF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2365,7 +2376,7 @@
$ LDU )
*
* Generate Q in A
-* (Workspace: need 2*M, prefer M+M*NB)
+* (Workspace: need 2*M, prefer M + M*NB)
*
CALL DORGLQ( M, N, M, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2375,21 +2386,21 @@
IWORK = ITAUP + M
*
* Bidiagonalize L in U
-* (Workspace: need 4*M, prefer 3*M+2*M*NB)
+* (Workspace: need 4*M, prefer 3*M + 2*M*NB)
*
CALL DGEBRD( M, M, U, LDU, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
*
* Multiply right vectors bidiagonalizing L by Q in A
-* (Workspace: need 3*M+N, prefer 3*M+N*NB)
+* (Workspace: need 3*M + N, prefer 3*M + N*NB)
*
CALL DORMBR( 'P', 'L', 'T', M, N, M, U, LDU,
$ WORK( ITAUP ), A, LDA, WORK( IWORK ),
$ LWORK-IWORK+1, IERR )
*
* Generate left vectors bidiagonalizing L in U
-* (Workspace: need 4*M, prefer 3*M+M*NB)
+* (Workspace: need 4*M, prefer 3*M + M*NB)
*
CALL DORGBR( 'Q', M, M, M, U, LDU, WORK( ITAUQ ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2433,7 +2444,7 @@
IWORK = ITAU + M
*
* Compute A=L*Q
-* (Workspace: need M*M+2*M, prefer M*M+M+M*NB)
+* (Workspace: need M*M + 2*M, prefer M*M + M + M*NB)
*
CALL DGELQF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2446,7 +2457,7 @@
$ WORK( IR+LDWRKR ), LDWRKR )
*
* Generate Q in A
-* (Workspace: need M*M+2*M, prefer M*M+M+M*NB)
+* (Workspace: need M*M + 2*M, prefer M*M + M + M*NB)
*
CALL DORGLQ( M, N, M, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2456,7 +2467,7 @@
IWORK = ITAUP + M
*
* Bidiagonalize L in WORK(IR)
-* (Workspace: need M*M+4*M, prefer M*M+3*M+2*M*NB)
+* (Workspace: need M*M + 4*M, prefer M*M + 3*M + 2*M*NB)
*
CALL DGEBRD( M, M, WORK( IR ), LDWRKR, S,
$ WORK( IE ), WORK( ITAUQ ),
@@ -2465,7 +2476,7 @@
*
* Generate right vectors bidiagonalizing L in
* WORK(IR)
-* (Workspace: need M*M+4*M, prefer M*M+3*M+(M-1)*NB)
+* (Workspace: need M*M + 4*M, prefer M*M + 3*M + (M-1)*NB)
*
CALL DORGBR( 'P', M, M, M, WORK( IR ), LDWRKR,
$ WORK( ITAUP ), WORK( IWORK ),
@@ -2474,7 +2485,7 @@
*
* Perform bidiagonal QR iteration, computing right
* singular vectors of L in WORK(IR)
-* (Workspace: need M*M+BDSPAC)
+* (Workspace: need M*M + BDSPAC)
*
CALL DBDSQR( 'U', M, M, 0, 0, S, WORK( IE ),
$ WORK( IR ), LDWRKR, DUM, 1, DUM, 1,
@@ -2495,7 +2506,7 @@
IWORK = ITAU + M
*
* Compute A=L*Q
-* (Workspace: need 2*M, prefer M+M*NB)
+* (Workspace: need 2*M, prefer M + M*NB)
*
CALL DGELQF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2505,7 +2516,7 @@
CALL DLACPY( 'U', M, N, A, LDA, VT, LDVT )
*
* Generate Q in VT
-* (Workspace: need 2*M, prefer M+M*NB)
+* (Workspace: need 2*M, prefer M + M*NB)
*
CALL DORGLQ( M, N, M, VT, LDVT, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2520,14 +2531,14 @@
$ LDA )
*
* Bidiagonalize L in A
-* (Workspace: need 4*M, prefer 3*M+2*M*NB)
+* (Workspace: need 4*M, prefer 3*M + 2*M*NB)
*
CALL DGEBRD( M, M, A, LDA, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
*
* Multiply right vectors bidiagonalizing L by Q in VT
-* (Workspace: need 3*M+N, prefer 3*M+N*NB)
+* (Workspace: need 3*M + N, prefer 3*M + N*NB)
*
CALL DORMBR( 'P', 'L', 'T', M, N, M, A, LDA,
$ WORK( ITAUP ), VT, LDVT,
@@ -2562,7 +2573,7 @@
LDWRKU = LDA
IR = IU + LDWRKU*M
LDWRKR = LDA
- ELSE IF( LWORK.GE.WRKBL+( LDA+M )*M ) THEN
+ ELSE IF( LWORK.GE.WRKBL+( LDA + M )*M ) THEN
*
* WORK(IU) is LDA by M and WORK(IR) is M by M
*
@@ -2581,7 +2592,7 @@
IWORK = ITAU + M
*
* Compute A=L*Q
-* (Workspace: need 2*M*M+2*M, prefer 2*M*M+M+M*NB)
+* (Workspace: need 2*M*M + 2*M, prefer 2*M*M + M + M*NB)
*
CALL DGELQF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2594,7 +2605,7 @@
$ WORK( IU+LDWRKU ), LDWRKU )
*
* Generate Q in A
-* (Workspace: need 2*M*M+2*M, prefer 2*M*M+M+M*NB)
+* (Workspace: need 2*M*M + 2*M, prefer 2*M*M + M + M*NB)
*
CALL DORGLQ( M, N, M, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2605,7 +2616,7 @@
*
* Bidiagonalize L in WORK(IU), copying result to
* WORK(IR)
-* (Workspace: need 2*M*M+4*M,
+* (Workspace: need 2*M*M + 4*M,
* prefer 2*M*M+3*M+2*M*NB)
*
CALL DGEBRD( M, M, WORK( IU ), LDWRKU, S,
@@ -2616,7 +2627,7 @@
$ WORK( IR ), LDWRKR )
*
* Generate right bidiagonalizing vectors in WORK(IU)
-* (Workspace: need 2*M*M+4*M-1,
+* (Workspace: need 2*M*M + 4*M-1,
* prefer 2*M*M+3*M+(M-1)*NB)
*
CALL DORGBR( 'P', M, M, M, WORK( IU ), LDWRKU,
@@ -2624,7 +2635,7 @@
$ LWORK-IWORK+1, IERR )
*
* Generate left bidiagonalizing vectors in WORK(IR)
-* (Workspace: need 2*M*M+4*M, prefer 2*M*M+3*M+M*NB)
+* (Workspace: need 2*M*M + 4*M, prefer 2*M*M + 3*M + M*NB)
*
CALL DORGBR( 'Q', M, M, M, WORK( IR ), LDWRKR,
$ WORK( ITAUQ ), WORK( IWORK ),
@@ -2634,7 +2645,7 @@
* Perform bidiagonal QR iteration, computing left
* singular vectors of L in WORK(IR) and computing
* right singular vectors of L in WORK(IU)
-* (Workspace: need 2*M*M+BDSPAC)
+* (Workspace: need 2*M*M + BDSPAC)
*
CALL DBDSQR( 'U', M, M, M, 0, S, WORK( IE ),
$ WORK( IU ), LDWRKU, WORK( IR ),
@@ -2661,14 +2672,14 @@
IWORK = ITAU + M
*
* Compute A=L*Q, copying result to VT
-* (Workspace: need 2*M, prefer M+M*NB)
+* (Workspace: need 2*M, prefer M + M*NB)
*
CALL DGELQF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
CALL DLACPY( 'U', M, N, A, LDA, VT, LDVT )
*
* Generate Q in VT
-* (Workspace: need 2*M, prefer M+M*NB)
+* (Workspace: need 2*M, prefer M + M*NB)
*
CALL DORGLQ( M, N, M, VT, LDVT, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2683,21 +2694,21 @@
$ LDA )
*
* Bidiagonalize L in A
-* (Workspace: need 4*M, prefer 3*M+2*M*NB)
+* (Workspace: need 4*M, prefer 3*M + 2*M*NB)
*
CALL DGEBRD( M, M, A, LDA, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
*
* Multiply right vectors bidiagonalizing L by Q in VT
-* (Workspace: need 3*M+N, prefer 3*M+N*NB)
+* (Workspace: need 3*M + N, prefer 3*M + N*NB)
*
CALL DORMBR( 'P', 'L', 'T', M, N, M, A, LDA,
$ WORK( ITAUP ), VT, LDVT,
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
*
* Generate left bidiagonalizing vectors of L in A
-* (Workspace: need 4*M, prefer 3*M+M*NB)
+* (Workspace: need 4*M, prefer 3*M + M*NB)
*
CALL DORGBR( 'Q', M, M, M, A, LDA, WORK( ITAUQ ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2741,7 +2752,7 @@
IWORK = ITAU + M
*
* Compute A=L*Q
-* (Workspace: need M*M+2*M, prefer M*M+M+M*NB)
+* (Workspace: need M*M + 2*M, prefer M*M + M + M*NB)
*
CALL DGELQF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2754,7 +2765,7 @@
$ WORK( IU+LDWRKU ), LDWRKU )
*
* Generate Q in A
-* (Workspace: need M*M+2*M, prefer M*M+M+M*NB)
+* (Workspace: need M*M + 2*M, prefer M*M + M + M*NB)
*
CALL DORGLQ( M, N, M, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2764,7 +2775,7 @@
IWORK = ITAUP + M
*
* Bidiagonalize L in WORK(IU), copying result to U
-* (Workspace: need M*M+4*M, prefer M*M+3*M+2*M*NB)
+* (Workspace: need M*M + 4*M, prefer M*M + 3*M + 2*M*NB)
*
CALL DGEBRD( M, M, WORK( IU ), LDWRKU, S,
$ WORK( IE ), WORK( ITAUQ ),
@@ -2774,7 +2785,7 @@
$ LDU )
*
* Generate right bidiagonalizing vectors in WORK(IU)
-* (Workspace: need M*M+4*M-1,
+* (Workspace: need M*M + 4*M-1,
* prefer M*M+3*M+(M-1)*NB)
*
CALL DORGBR( 'P', M, M, M, WORK( IU ), LDWRKU,
@@ -2782,7 +2793,7 @@
$ LWORK-IWORK+1, IERR )
*
* Generate left bidiagonalizing vectors in U
-* (Workspace: need M*M+4*M, prefer M*M+3*M+M*NB)
+* (Workspace: need M*M + 4*M, prefer M*M + 3*M + M*NB)
*
CALL DORGBR( 'Q', M, M, M, U, LDU, WORK( ITAUQ ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2791,7 +2802,7 @@
* Perform bidiagonal QR iteration, computing left
* singular vectors of L in U and computing right
* singular vectors of L in WORK(IU)
-* (Workspace: need M*M+BDSPAC)
+* (Workspace: need M*M + BDSPAC)
*
CALL DBDSQR( 'U', M, M, M, 0, S, WORK( IE ),
$ WORK( IU ), LDWRKU, U, LDU, DUM, 1,
@@ -2812,14 +2823,14 @@
IWORK = ITAU + M
*
* Compute A=L*Q, copying result to VT
-* (Workspace: need 2*M, prefer M+M*NB)
+* (Workspace: need 2*M, prefer M + M*NB)
*
CALL DGELQF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
CALL DLACPY( 'U', M, N, A, LDA, VT, LDVT )
*
* Generate Q in VT
-* (Workspace: need 2*M, prefer M+M*NB)
+* (Workspace: need 2*M, prefer M + M*NB)
*
CALL DORGLQ( M, N, M, VT, LDVT, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2835,7 +2846,7 @@
IWORK = ITAUP + M
*
* Bidiagonalize L in U
-* (Workspace: need 4*M, prefer 3*M+2*M*NB)
+* (Workspace: need 4*M, prefer 3*M + 2*M*NB)
*
CALL DGEBRD( M, M, U, LDU, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
@@ -2843,14 +2854,14 @@
*
* Multiply right bidiagonalizing vectors in U by Q
* in VT
-* (Workspace: need 3*M+N, prefer 3*M+N*NB)
+* (Workspace: need 3*M + N, prefer 3*M + N*NB)
*
CALL DORMBR( 'P', 'L', 'T', M, N, M, U, LDU,
$ WORK( ITAUP ), VT, LDVT,
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
*
* Generate left bidiagonalizing vectors in U
-* (Workspace: need 4*M, prefer 3*M+M*NB)
+* (Workspace: need 4*M, prefer 3*M + M*NB)
*
CALL DORGBR( 'Q', M, M, M, U, LDU, WORK( ITAUQ ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2877,7 +2888,7 @@
* N right singular vectors to be computed in VT and
* no left singular vectors to be computed
*
- IF( LWORK.GE.M*M+MAX( N+M, 4*M, BDSPAC ) ) THEN
+ IF( LWORK.GE.M*M+MAX( N + M, 4*M, BDSPAC ) ) THEN
*
* Sufficient workspace for a fast algorithm
*
@@ -2897,7 +2908,7 @@
IWORK = ITAU + M
*
* Compute A=L*Q, copying result to VT
-* (Workspace: need M*M+2*M, prefer M*M+M+M*NB)
+* (Workspace: need M*M + 2*M, prefer M*M + M + M*NB)
*
CALL DGELQF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2911,7 +2922,7 @@
$ WORK( IR+LDWRKR ), LDWRKR )
*
* Generate Q in VT
-* (Workspace: need M*M+M+N, prefer M*M+M+N*NB)
+* (Workspace: need M*M + M + N, prefer M*M + M + N*NB)
*
CALL DORGLQ( N, N, M, VT, LDVT, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2921,7 +2932,7 @@
IWORK = ITAUP + M
*
* Bidiagonalize L in WORK(IR)
-* (Workspace: need M*M+4*M, prefer M*M+3*M+2*M*NB)
+* (Workspace: need M*M + 4*M, prefer M*M + 3*M + 2*M*NB)
*
CALL DGEBRD( M, M, WORK( IR ), LDWRKR, S,
$ WORK( IE ), WORK( ITAUQ ),
@@ -2929,7 +2940,7 @@
$ LWORK-IWORK+1, IERR )
*
* Generate right bidiagonalizing vectors in WORK(IR)
-* (Workspace: need M*M+4*M-1,
+* (Workspace: need M*M + 4*M-1,
* prefer M*M+3*M+(M-1)*NB)
*
CALL DORGBR( 'P', M, M, M, WORK( IR ), LDWRKR,
@@ -2939,7 +2950,7 @@
*
* Perform bidiagonal QR iteration, computing right
* singular vectors of L in WORK(IR)
-* (Workspace: need M*M+BDSPAC)
+* (Workspace: need M*M + BDSPAC)
*
CALL DBDSQR( 'U', M, M, 0, 0, S, WORK( IE ),
$ WORK( IR ), LDWRKR, DUM, 1, DUM, 1,
@@ -2964,14 +2975,14 @@
IWORK = ITAU + M
*
* Compute A=L*Q, copying result to VT
-* (Workspace: need 2*M, prefer M+M*NB)
+* (Workspace: need 2*M, prefer M + M*NB)
*
CALL DGELQF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
CALL DLACPY( 'U', M, N, A, LDA, VT, LDVT )
*
* Generate Q in VT
-* (Workspace: need M+N, prefer M+N*NB)
+* (Workspace: need M + N, prefer M + N*NB)
*
CALL DORGLQ( N, N, M, VT, LDVT, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -2986,7 +2997,7 @@
$ LDA )
*
* Bidiagonalize L in A
-* (Workspace: need 4*M, prefer 3*M+2*M*NB)
+* (Workspace: need 4*M, prefer 3*M + 2*M*NB)
*
CALL DGEBRD( M, M, A, LDA, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
@@ -2994,7 +3005,7 @@
*
* Multiply right bidiagonalizing vectors in A by Q
* in VT
-* (Workspace: need 3*M+N, prefer 3*M+N*NB)
+* (Workspace: need 3*M + N, prefer 3*M + N*NB)
*
CALL DORMBR( 'P', 'L', 'T', M, N, M, A, LDA,
$ WORK( ITAUP ), VT, LDVT,
@@ -3017,7 +3028,7 @@
* N right singular vectors to be computed in VT and
* M left singular vectors to be overwritten on A
*
- IF( LWORK.GE.2*M*M+MAX( N+M, 4*M, BDSPAC ) ) THEN
+ IF( LWORK.GE.2*M*M+MAX( N + M, 4*M, BDSPAC ) ) THEN
*
* Sufficient workspace for a fast algorithm
*
@@ -3029,7 +3040,7 @@
LDWRKU = LDA
IR = IU + LDWRKU*M
LDWRKR = LDA
- ELSE IF( LWORK.GE.WRKBL+( LDA+M )*M ) THEN
+ ELSE IF( LWORK.GE.WRKBL+( LDA + M )*M ) THEN
*
* WORK(IU) is LDA by M and WORK(IR) is M by M
*
@@ -3048,14 +3059,14 @@
IWORK = ITAU + M
*
* Compute A=L*Q, copying result to VT
-* (Workspace: need 2*M*M+2*M, prefer 2*M*M+M+M*NB)
+* (Workspace: need 2*M*M + 2*M, prefer 2*M*M + M + M*NB)
*
CALL DGELQF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
CALL DLACPY( 'U', M, N, A, LDA, VT, LDVT )
*
* Generate Q in VT
-* (Workspace: need 2*M*M+M+N, prefer 2*M*M+M+N*NB)
+* (Workspace: need 2*M*M + M + N, prefer 2*M*M + M + N*NB)
*
CALL DORGLQ( N, N, M, VT, LDVT, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -3073,7 +3084,7 @@
*
* Bidiagonalize L in WORK(IU), copying result to
* WORK(IR)
-* (Workspace: need 2*M*M+4*M,
+* (Workspace: need 2*M*M + 4*M,
* prefer 2*M*M+3*M+2*M*NB)
*
CALL DGEBRD( M, M, WORK( IU ), LDWRKU, S,
@@ -3084,7 +3095,7 @@
$ WORK( IR ), LDWRKR )
*
* Generate right bidiagonalizing vectors in WORK(IU)
-* (Workspace: need 2*M*M+4*M-1,
+* (Workspace: need 2*M*M + 4*M-1,
* prefer 2*M*M+3*M+(M-1)*NB)
*
CALL DORGBR( 'P', M, M, M, WORK( IU ), LDWRKU,
@@ -3092,7 +3103,7 @@
$ LWORK-IWORK+1, IERR )
*
* Generate left bidiagonalizing vectors in WORK(IR)
-* (Workspace: need 2*M*M+4*M, prefer 2*M*M+3*M+M*NB)
+* (Workspace: need 2*M*M + 4*M, prefer 2*M*M + 3*M + M*NB)
*
CALL DORGBR( 'Q', M, M, M, WORK( IR ), LDWRKR,
$ WORK( ITAUQ ), WORK( IWORK ),
@@ -3102,7 +3113,7 @@
* Perform bidiagonal QR iteration, computing left
* singular vectors of L in WORK(IR) and computing
* right singular vectors of L in WORK(IU)
-* (Workspace: need 2*M*M+BDSPAC)
+* (Workspace: need 2*M*M + BDSPAC)
*
CALL DBDSQR( 'U', M, M, M, 0, S, WORK( IE ),
$ WORK( IU ), LDWRKU, WORK( IR ),
@@ -3132,14 +3143,14 @@
IWORK = ITAU + M
*
* Compute A=L*Q, copying result to VT
-* (Workspace: need 2*M, prefer M+M*NB)
+* (Workspace: need 2*M, prefer M + M*NB)
*
CALL DGELQF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
CALL DLACPY( 'U', M, N, A, LDA, VT, LDVT )
*
* Generate Q in VT
-* (Workspace: need M+N, prefer M+N*NB)
+* (Workspace: need M + N, prefer M + N*NB)
*
CALL DORGLQ( N, N, M, VT, LDVT, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -3154,7 +3165,7 @@
$ LDA )
*
* Bidiagonalize L in A
-* (Workspace: need 4*M, prefer 3*M+2*M*NB)
+* (Workspace: need 4*M, prefer 3*M + 2*M*NB)
*
CALL DGEBRD( M, M, A, LDA, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
@@ -3162,14 +3173,14 @@
*
* Multiply right bidiagonalizing vectors in A by Q
* in VT
-* (Workspace: need 3*M+N, prefer 3*M+N*NB)
+* (Workspace: need 3*M + N, prefer 3*M + N*NB)
*
CALL DORMBR( 'P', 'L', 'T', M, N, M, A, LDA,
$ WORK( ITAUP ), VT, LDVT,
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
*
* Generate left bidiagonalizing vectors in A
-* (Workspace: need 4*M, prefer 3*M+M*NB)
+* (Workspace: need 4*M, prefer 3*M + M*NB)
*
CALL DORGBR( 'Q', M, M, M, A, LDA, WORK( ITAUQ ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -3193,7 +3204,7 @@
* N right singular vectors to be computed in VT and
* M left singular vectors to be computed in U
*
- IF( LWORK.GE.M*M+MAX( N+M, 4*M, BDSPAC ) ) THEN
+ IF( LWORK.GE.M*M+MAX( N + M, 4*M, BDSPAC ) ) THEN
*
* Sufficient workspace for a fast algorithm
*
@@ -3213,14 +3224,14 @@
IWORK = ITAU + M
*
* Compute A=L*Q, copying result to VT
-* (Workspace: need M*M+2*M, prefer M*M+M+M*NB)
+* (Workspace: need M*M + 2*M, prefer M*M + M + M*NB)
*
CALL DGELQF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
CALL DLACPY( 'U', M, N, A, LDA, VT, LDVT )
*
* Generate Q in VT
-* (Workspace: need M*M+M+N, prefer M*M+M+N*NB)
+* (Workspace: need M*M + M + N, prefer M*M + M + N*NB)
*
CALL DORGLQ( N, N, M, VT, LDVT, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -3237,7 +3248,7 @@
IWORK = ITAUP + M
*
* Bidiagonalize L in WORK(IU), copying result to U
-* (Workspace: need M*M+4*M, prefer M*M+3*M+2*M*NB)
+* (Workspace: need M*M + 4*M, prefer M*M + 3*M + 2*M*NB)
*
CALL DGEBRD( M, M, WORK( IU ), LDWRKU, S,
$ WORK( IE ), WORK( ITAUQ ),
@@ -3247,14 +3258,14 @@
$ LDU )
*
* Generate right bidiagonalizing vectors in WORK(IU)
-* (Workspace: need M*M+4*M, prefer M*M+3*M+(M-1)*NB)
+* (Workspace: need M*M + 4*M, prefer M*M + 3*M + (M-1)*NB)
*
CALL DORGBR( 'P', M, M, M, WORK( IU ), LDWRKU,
$ WORK( ITAUP ), WORK( IWORK ),
$ LWORK-IWORK+1, IERR )
*
* Generate left bidiagonalizing vectors in U
-* (Workspace: need M*M+4*M, prefer M*M+3*M+M*NB)
+* (Workspace: need M*M + 4*M, prefer M*M + 3*M + M*NB)
*
CALL DORGBR( 'Q', M, M, M, U, LDU, WORK( ITAUQ ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -3263,7 +3274,7 @@
* Perform bidiagonal QR iteration, computing left
* singular vectors of L in U and computing right
* singular vectors of L in WORK(IU)
-* (Workspace: need M*M+BDSPAC)
+* (Workspace: need M*M + BDSPAC)
*
CALL DBDSQR( 'U', M, M, M, 0, S, WORK( IE ),
$ WORK( IU ), LDWRKU, U, LDU, DUM, 1,
@@ -3288,14 +3299,14 @@
IWORK = ITAU + M
*
* Compute A=L*Q, copying result to VT
-* (Workspace: need 2*M, prefer M+M*NB)
+* (Workspace: need 2*M, prefer M + M*NB)
*
CALL DGELQF( M, N, A, LDA, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
CALL DLACPY( 'U', M, N, A, LDA, VT, LDVT )
*
* Generate Q in VT
-* (Workspace: need M+N, prefer M+N*NB)
+* (Workspace: need M + N, prefer M + N*NB)
*
CALL DORGLQ( N, N, M, VT, LDVT, WORK( ITAU ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -3311,7 +3322,7 @@
IWORK = ITAUP + M
*
* Bidiagonalize L in U
-* (Workspace: need 4*M, prefer 3*M+2*M*NB)
+* (Workspace: need 4*M, prefer 3*M + 2*M*NB)
*
CALL DGEBRD( M, M, U, LDU, S, WORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ),
@@ -3319,14 +3330,14 @@
*
* Multiply right bidiagonalizing vectors in U by Q
* in VT
-* (Workspace: need 3*M+N, prefer 3*M+N*NB)
+* (Workspace: need 3*M + N, prefer 3*M + N*NB)
*
CALL DORMBR( 'P', 'L', 'T', M, N, M, U, LDU,
$ WORK( ITAUP ), VT, LDVT,
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
*
* Generate left bidiagonalizing vectors in U
-* (Workspace: need 4*M, prefer 3*M+M*NB)
+* (Workspace: need 4*M, prefer 3*M + M*NB)
*
CALL DORGBR( 'Q', M, M, M, U, LDU, WORK( ITAUQ ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -3360,7 +3371,7 @@
IWORK = ITAUP + M
*
* Bidiagonalize A
-* (Workspace: need 3*M+N, prefer 3*M+(M+N)*NB)
+* (Workspace: need 3*M + N, prefer 3*M + (M + N)*NB)
*
CALL DGEBRD( M, N, A, LDA, S, WORK( IE ), WORK( ITAUQ ),
$ WORK( ITAUP ), WORK( IWORK ), LWORK-IWORK+1,
@@ -3369,7 +3380,7 @@
*
* If left singular vectors desired in U, copy result to U
* and generate left bidiagonalizing vectors in U
-* (Workspace: need 4*M-1, prefer 3*M+(M-1)*NB)
+* (Workspace: need 4*M-1, prefer 3*M + (M-1)*NB)
*
CALL DLACPY( 'L', M, M, A, LDA, U, LDU )
CALL DORGBR( 'Q', M, M, N, U, LDU, WORK( ITAUQ ),
@@ -3379,7 +3390,7 @@
*
* If right singular vectors desired in VT, copy result to
* VT and generate right bidiagonalizing vectors in VT
-* (Workspace: need 3*M+NRVT, prefer 3*M+NRVT*NB)
+* (Workspace: need 3*M + NRVT, prefer 3*M + NRVT*NB)
*
CALL DLACPY( 'U', M, N, A, LDA, VT, LDVT )
IF( WNTVA )
@@ -3393,7 +3404,7 @@
*
* If left singular vectors desired in A, generate left
* bidiagonalizing vectors in A
-* (Workspace: need 4*M-1, prefer 3*M+(M-1)*NB)
+* (Workspace: need 4*M-1, prefer 3*M + (M-1)*NB)
*
CALL DORGBR( 'Q', M, M, N, A, LDA, WORK( ITAUQ ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
@@ -3402,7 +3413,7 @@
*
* If right singular vectors desired in A, generate right
* bidiagonalizing vectors in A
-* (Workspace: need 4*M, prefer 3*M+M*NB)
+* (Workspace: need 4*M, prefer 3*M + M*NB)
*
CALL DORGBR( 'P', M, N, M, A, LDA, WORK( ITAUP ),
$ WORK( IWORK ), LWORK-IWORK+1, IERR )
diff --git a/lib/linalg/dgetf2.f b/lib/linalg/dgetf2.f
index 649d0671de..5458a5f3eb 100644
--- a/lib/linalg/dgetf2.f
+++ b/lib/linalg/dgetf2.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DGETF2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgetf2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgetf2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgetf2.f">
+*> Download DGETF2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgetf2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgetf2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgetf2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DGETF2( M, N, A, LDA, IPIV, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, LDA, M, N
* ..
@@ -27,7 +27,7 @@
* INTEGER IPIV( * )
* DOUBLE PRECISION A( LDA, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -96,22 +96,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleGEcomputational
*
* =====================================================================
SUBROUTINE DGETF2( M, N, A, LDA, IPIV, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, LDA, M, N
@@ -128,11 +128,11 @@
PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
* ..
* .. Local Scalars ..
- DOUBLE PRECISION SFMIN
+ DOUBLE PRECISION SFMIN
INTEGER I, J, JP
* ..
* .. External Functions ..
- DOUBLE PRECISION DLAMCH
+ DOUBLE PRECISION DLAMCH
INTEGER IDAMAX
EXTERNAL DLAMCH, IDAMAX
* ..
@@ -164,9 +164,9 @@
IF( M.EQ.0 .OR. N.EQ.0 )
$ RETURN
*
-* Compute machine safe minimum
-*
- SFMIN = DLAMCH('S')
+* Compute machine safe minimum
+*
+ SFMIN = DLAMCH('S')
*
DO 10 J = 1, MIN( M, N )
*
@@ -183,15 +183,15 @@
*
* Compute elements J+1:M of J-th column.
*
- IF( J.LT.M ) THEN
- IF( ABS(A( J, J )) .GE. SFMIN ) THEN
- CALL DSCAL( M-J, ONE / A( J, J ), A( J+1, J ), 1 )
- ELSE
- DO 20 I = 1, M-J
- A( J+I, J ) = A( J+I, J ) / A( J, J )
- 20 CONTINUE
- END IF
- END IF
+ IF( J.LT.M ) THEN
+ IF( ABS(A( J, J )) .GE. SFMIN ) THEN
+ CALL DSCAL( M-J, ONE / A( J, J ), A( J+1, J ), 1 )
+ ELSE
+ DO 20 I = 1, M-J
+ A( J+I, J ) = A( J+I, J ) / A( J, J )
+ 20 CONTINUE
+ END IF
+ END IF
*
ELSE IF( INFO.EQ.0 ) THEN
*
diff --git a/lib/linalg/dgetrf.f b/lib/linalg/dgetrf.f
index 45bb97f30c..9a340b60f3 100644
--- a/lib/linalg/dgetrf.f
+++ b/lib/linalg/dgetrf.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DGETRF + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgetrf.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgetrf.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgetrf.f">
+*> Download DGETRF + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgetrf.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgetrf.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgetrf.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DGETRF( M, N, A, LDA, IPIV, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, LDA, M, N
* ..
@@ -27,7 +27,7 @@
* INTEGER IPIV( * )
* DOUBLE PRECISION A( LDA, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -96,22 +96,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleGEcomputational
*
* =====================================================================
SUBROUTINE DGETRF( M, N, A, LDA, IPIV, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, LDA, M, N
@@ -131,7 +131,7 @@
INTEGER I, IINFO, J, JB, NB
* ..
* .. External Subroutines ..
- EXTERNAL DGEMM, DGETF2, DLASWP, DTRSM, XERBLA
+ EXTERNAL DGEMM, DGETRF2, DLASWP, DTRSM, XERBLA
* ..
* .. External Functions ..
INTEGER ILAENV
@@ -169,7 +169,7 @@
*
* Use unblocked code.
*
- CALL DGETF2( M, N, A, LDA, IPIV, INFO )
+ CALL DGETRF2( M, N, A, LDA, IPIV, INFO )
ELSE
*
* Use blocked code.
@@ -180,7 +180,7 @@
* Factor diagonal and subdiagonal blocks and test for exact
* singularity.
*
- CALL DGETF2( M-J+1, JB, A( J, J ), LDA, IPIV( J ), IINFO )
+ CALL DGETRF2( M-J+1, JB, A( J, J ), LDA, IPIV( J ), IINFO )
*
* Adjust INFO and the pivot indices.
*
diff --git a/lib/linalg/dgetrf2.f b/lib/linalg/dgetrf2.f
new file mode 100644
index 0000000000..77948d2305
--- /dev/null
+++ b/lib/linalg/dgetrf2.f
@@ -0,0 +1,272 @@
+*> \brief \b DGETRF2
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+* Definition:
+* ===========
+*
+* RECURSIVE SUBROUTINE DGETRF2( M, N, A, LDA, IPIV, INFO )
+*
+* .. Scalar Arguments ..
+* INTEGER INFO, LDA, M, N
+* ..
+* .. Array Arguments ..
+* INTEGER IPIV( * )
+* DOUBLE PRECISION A( LDA, * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DGETRF2 computes an LU factorization of a general M-by-N matrix A
+*> using partial pivoting with row interchanges.
+*>
+*> The factorization has the form
+*> A = P * L * U
+*> where P is a permutation matrix, L is lower triangular with unit
+*> diagonal elements (lower trapezoidal if m > n), and U is upper
+*> triangular (upper trapezoidal if m < n).
+*>
+*> This is the recursive version of the algorithm. It divides
+*> the matrix into four submatrices:
+*>
+*> [ A11 | A12 ] where A11 is n1 by n1 and A22 is n2 by n2
+*> A = [ -----|----- ] with n1 = min(m,n)/2
+*> [ A21 | A22 ] n2 = n-n1
+*>
+*> [ A11 ]
+*> The subroutine calls itself to factor [ --- ],
+*> [ A12 ]
+*> [ A12 ]
+*> do the swaps on [ --- ], solve A12, update A22,
+*> [ A22 ]
+*>
+*> then calls itself to factor A22 and do the swaps on A21.
+*>
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] M
+*> \verbatim
+*> M is INTEGER
+*> The number of rows of the matrix A. M >= 0.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The number of columns of the matrix A. N >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] A
+*> \verbatim
+*> A is DOUBLE PRECISION array, dimension (LDA,N)
+*> On entry, the M-by-N matrix to be factored.
+*> On exit, the factors L and U from the factorization
+*> A = P*L*U; the unit diagonal elements of L are not stored.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> The leading dimension of the array A. LDA >= max(1,M).
+*> \endverbatim
+*>
+*> \param[out] IPIV
+*> \verbatim
+*> IPIV is INTEGER array, dimension (min(M,N))
+*> The pivot indices; for 1 <= i <= min(M,N), row i of the
+*> matrix was interchanged with row IPIV(i).
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: successful exit
+*> < 0: if INFO = -i, the i-th argument had an illegal value
+*> > 0: if INFO = i, U(i,i) is exactly zero. The factorization
+*> has been completed, but the factor U is exactly
+*> singular, and division by zero will occur if it is used
+*> to solve a system of equations.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date June 2016
+*
+*> \ingroup doubleGEcomputational
+*
+* =====================================================================
+ RECURSIVE SUBROUTINE DGETRF2( M, N, A, LDA, IPIV, INFO )
+*
+* -- LAPACK computational routine (version 3.7.0) --
+* -- LAPACK is a software package provided by Univ. of Tennessee, --
+* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+* June 2016
+*
+* .. Scalar Arguments ..
+ INTEGER INFO, LDA, M, N
+* ..
+* .. Array Arguments ..
+ INTEGER IPIV( * )
+ DOUBLE PRECISION A( LDA, * )
+* ..
+*
+* =====================================================================
+*
+* .. Parameters ..
+ DOUBLE PRECISION ONE, ZERO
+ PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+* ..
+* .. Local Scalars ..
+ DOUBLE PRECISION SFMIN, TEMP
+ INTEGER I, IINFO, N1, N2
+* ..
+* .. External Functions ..
+ DOUBLE PRECISION DLAMCH
+ INTEGER IDAMAX
+ EXTERNAL DLAMCH, IDAMAX
+* ..
+* .. External Subroutines ..
+ EXTERNAL DGEMM, DSCAL, DLASWP, DTRSM, XERBLA
+* ..
+* .. Intrinsic Functions ..
+ INTRINSIC MAX, MIN
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters
+*
+ INFO = 0
+ IF( M.LT.0 ) THEN
+ INFO = -1
+ ELSE IF( N.LT.0 ) THEN
+ INFO = -2
+ ELSE IF( LDA.LT.MAX( 1, M ) ) THEN
+ INFO = -4
+ END IF
+ IF( INFO.NE.0 ) THEN
+ CALL XERBLA( 'DGETRF2', -INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible
+*
+ IF( M.EQ.0 .OR. N.EQ.0 )
+ $ RETURN
+
+ IF ( M.EQ.1 ) THEN
+*
+* Use unblocked code for one row case
+* Just need to handle IPIV and INFO
+*
+ IPIV( 1 ) = 1
+ IF ( A(1,1).EQ.ZERO )
+ $ INFO = 1
+*
+ ELSE IF( N.EQ.1 ) THEN
+*
+* Use unblocked code for one column case
+*
+*
+* Compute machine safe minimum
+*
+ SFMIN = DLAMCH('S')
+*
+* Find pivot and test for singularity
+*
+ I = IDAMAX( M, A( 1, 1 ), 1 )
+ IPIV( 1 ) = I
+ IF( A( I, 1 ).NE.ZERO ) THEN
+*
+* Apply the interchange
+*
+ IF( I.NE.1 ) THEN
+ TEMP = A( 1, 1 )
+ A( 1, 1 ) = A( I, 1 )
+ A( I, 1 ) = TEMP
+ END IF
+*
+* Compute elements 2:M of the column
+*
+ IF( ABS(A( 1, 1 )) .GE. SFMIN ) THEN
+ CALL DSCAL( M-1, ONE / A( 1, 1 ), A( 2, 1 ), 1 )
+ ELSE
+ DO 10 I = 1, M-1
+ A( 1+I, 1 ) = A( 1+I, 1 ) / A( 1, 1 )
+ 10 CONTINUE
+ END IF
+*
+ ELSE
+ INFO = 1
+ END IF
+*
+ ELSE
+*
+* Use recursive code
+*
+ N1 = MIN( M, N ) / 2
+ N2 = N-N1
+*
+* [ A11 ]
+* Factor [ --- ]
+* [ A21 ]
+*
+ CALL DGETRF2( M, N1, A, LDA, IPIV, IINFO )
+
+ IF ( INFO.EQ.0 .AND. IINFO.GT.0 )
+ $ INFO = IINFO
+*
+* [ A12 ]
+* Apply interchanges to [ --- ]
+* [ A22 ]
+*
+ CALL DLASWP( N2, A( 1, N1+1 ), LDA, 1, N1, IPIV, 1 )
+*
+* Solve A12
+*
+ CALL DTRSM( 'L', 'L', 'N', 'U', N1, N2, ONE, A, LDA,
+ $ A( 1, N1+1 ), LDA )
+*
+* Update A22
+*
+ CALL DGEMM( 'N', 'N', M-N1, N2, N1, -ONE, A( N1+1, 1 ), LDA,
+ $ A( 1, N1+1 ), LDA, ONE, A( N1+1, N1+1 ), LDA )
+*
+* Factor A22
+*
+ CALL DGETRF2( M-N1, N2, A( N1+1, N1+1 ), LDA, IPIV( N1+1 ),
+ $ IINFO )
+*
+* Adjust INFO and the pivot indices
+*
+ IF ( INFO.EQ.0 .AND. IINFO.GT.0 )
+ $ INFO = IINFO + N1
+ DO 20 I = N1+1, MIN( M, N )
+ IPIV( I ) = IPIV( I ) + N1
+ 20 CONTINUE
+*
+* Apply interchanges to A21
+*
+ CALL DLASWP( N1, A( 1, 1 ), LDA, N1+1, MIN( M, N), IPIV, 1 )
+*
+ END IF
+ RETURN
+*
+* End of DGETRF2
+*
+ END
diff --git a/lib/linalg/dgetri.f b/lib/linalg/dgetri.f
index ad5324c07e..9d8cf2ad3e 100644
--- a/lib/linalg/dgetri.f
+++ b/lib/linalg/dgetri.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DGETRI + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgetri.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgetri.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgetri.f">
+*> Download DGETRI + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgetri.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgetri.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgetri.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DGETRI( N, A, LDA, IPIV, WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, LDA, LWORK, N
* ..
@@ -27,7 +27,7 @@
* INTEGER IPIV( * )
* DOUBLE PRECISION A( LDA, * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -102,22 +102,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleGEcomputational
*
* =====================================================================
SUBROUTINE DGETRI( N, A, LDA, IPIV, WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, LDA, LWORK, N
diff --git a/lib/linalg/dgetrs.f b/lib/linalg/dgetrs.f
index 02e9832af7..7ac727776e 100644
--- a/lib/linalg/dgetrs.f
+++ b/lib/linalg/dgetrs.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DGETRS + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgetrs.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgetrs.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgetrs.f">
+*> Download DGETRS + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgetrs.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgetrs.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgetrs.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DGETRS( TRANS, N, NRHS, A, LDA, IPIV, B, LDB, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER TRANS
* INTEGER INFO, LDA, LDB, N, NRHS
@@ -28,7 +28,7 @@
* INTEGER IPIV( * )
* DOUBLE PRECISION A( LDA, * ), B( LDB, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -109,22 +109,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleGEcomputational
*
* =====================================================================
SUBROUTINE DGETRS( TRANS, N, NRHS, A, LDA, IPIV, B, LDB, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER TRANS
diff --git a/lib/linalg/disnan.f b/lib/linalg/disnan.f
index 355b827955..a565ed36d4 100644
--- a/lib/linalg/disnan.f
+++ b/lib/linalg/disnan.f
@@ -2,28 +2,28 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DISNAN + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/disnan.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/disnan.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/disnan.f">
+*> Download DISNAN + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/disnan.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/disnan.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/disnan.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* LOGICAL FUNCTION DISNAN( DIN )
-*
+*
* .. Scalar Arguments ..
-* DOUBLE PRECISION DIN
+* DOUBLE PRECISION, INTENT(IN) :: DIN
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -47,25 +47,25 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2017
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
* =====================================================================
LOGICAL FUNCTION DISNAN( DIN )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.1) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2017
*
* .. Scalar Arguments ..
- DOUBLE PRECISION DIN
+ DOUBLE PRECISION, INTENT(IN) :: DIN
* ..
*
* =====================================================================
diff --git a/lib/linalg/dlabad.f b/lib/linalg/dlabad.f
index 9eda3c91db..01b8158f66 100644
--- a/lib/linalg/dlabad.f
+++ b/lib/linalg/dlabad.f
@@ -2,28 +2,28 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLABAD + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlabad.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlabad.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlabad.f">
+*> Download DLABAD + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlabad.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlabad.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlabad.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLABAD( SMALL, LARGE )
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION LARGE, SMALL
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -62,22 +62,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
* =====================================================================
SUBROUTINE DLABAD( SMALL, LARGE )
*
-* -- LAPACK auxiliary routine (version 3.4.0) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION LARGE, SMALL
diff --git a/lib/linalg/dlabrd.f b/lib/linalg/dlabrd.f
index 72d148119a..b5e734dc7c 100644
--- a/lib/linalg/dlabrd.f
+++ b/lib/linalg/dlabrd.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLABRD + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlabrd.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlabrd.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlabrd.f">
+*> Download DLABRD + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlabrd.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlabrd.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlabrd.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLABRD( M, N, NB, A, LDA, D, E, TAUQ, TAUP, X, LDX, Y,
* LDY )
-*
+*
* .. Scalar Arguments ..
* INTEGER LDA, LDX, LDY, M, N, NB
* ..
@@ -28,7 +28,7 @@
* DOUBLE PRECISION A( LDA, * ), D( * ), E( * ), TAUP( * ),
* $ TAUQ( * ), X( LDX, * ), Y( LDY, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -110,7 +110,7 @@
*>
*> \param[out] TAUQ
*> \verbatim
-*> TAUQ is DOUBLE PRECISION array dimension (NB)
+*> TAUQ is DOUBLE PRECISION array, dimension (NB)
*> The scalar factors of the elementary reflectors which
*> represent the orthogonal matrix Q. See Further Details.
*> \endverbatim
@@ -151,12 +151,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2017
*
*> \ingroup doubleOTHERauxiliary
*
@@ -210,10 +210,10 @@
SUBROUTINE DLABRD( M, N, NB, A, LDA, D, E, TAUQ, TAUP, X, LDX, Y,
$ LDY )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.1) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2017
*
* .. Scalar Arguments ..
INTEGER LDA, LDX, LDY, M, N, NB
diff --git a/lib/linalg/dlacn2.f b/lib/linalg/dlacn2.f
index 9dd3c85ea2..952854043a 100644
--- a/lib/linalg/dlacn2.f
+++ b/lib/linalg/dlacn2.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLACN2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlacn2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlacn2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlacn2.f">
+*> Download DLACN2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlacn2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlacn2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlacn2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLACN2( N, V, X, ISGN, EST, KASE, ISAVE )
-*
+*
* .. Scalar Arguments ..
* INTEGER KASE, N
* DOUBLE PRECISION EST
@@ -28,7 +28,7 @@
* INTEGER ISGN( * ), ISAVE( 3 )
* DOUBLE PRECISION V( * ), X( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -75,7 +75,7 @@
*> EST is DOUBLE PRECISION
*> On entry with KASE = 1 or 2 and ISAVE(1) = 3, EST should be
*> unchanged from the previous call to DLACN2.
-*> On exit, EST is an estimate (a lower bound) for norm(A).
+*> On exit, EST is an estimate (a lower bound) for norm(A).
*> \endverbatim
*>
*> \param[in,out] KASE
@@ -96,12 +96,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleOTHERauxiliary
*
@@ -136,10 +136,10 @@
* =====================================================================
SUBROUTINE DLACN2( N, V, X, ISGN, EST, KASE, ISAVE )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER KASE, N
diff --git a/lib/linalg/dlacpy.f b/lib/linalg/dlacpy.f
index a9a23c9454..d1c396724a 100644
--- a/lib/linalg/dlacpy.f
+++ b/lib/linalg/dlacpy.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLACPY + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlacpy.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlacpy.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlacpy.f">
+*> Download DLACPY + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlacpy.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlacpy.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlacpy.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLACPY( UPLO, M, N, A, LDA, B, LDB )
-*
+*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER LDA, LDB, M, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), B( LDB, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -91,22 +91,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
* =====================================================================
SUBROUTINE DLACPY( UPLO, M, N, A, LDA, B, LDB )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
diff --git a/lib/linalg/dladiv.f b/lib/linalg/dladiv.f
index 306a6b0020..dd8110adf2 100644
--- a/lib/linalg/dladiv.f
+++ b/lib/linalg/dladiv.f
@@ -2,28 +2,28 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLADIV + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dladiv.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dladiv.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dladiv.f">
+*> Download DLADIV + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dladiv.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dladiv.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dladiv.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLADIV( A, B, C, D, P, Q )
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION A, B, C, D, P, Q
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -36,8 +36,9 @@
*> p + i*q = ---------
*> c + i*d
*>
-*> The algorithm is due to Robert L. Smith and can be found
-*> in D. Knuth, The art of Computer Programming, Vol.2, p.195
+*> The algorithm is due to Michael Baudin and Robert L. Smith
+*> and can be found in the paper
+*> "A Robust Complex Division in Scilab"
*> \endverbatim
*
* Arguments:
@@ -78,22 +79,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date January 2013
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup doubleOTHERauxiliary
*
* =====================================================================
SUBROUTINE DLADIV( A, B, C, D, P, Q )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* January 2013
*
* .. Scalar Arguments ..
DOUBLE PRECISION A, B, C, D, P, Q
@@ -101,28 +102,155 @@
*
* =====================================================================
*
+* .. Parameters ..
+ DOUBLE PRECISION BS
+ PARAMETER ( BS = 2.0D0 )
+ DOUBLE PRECISION HALF
+ PARAMETER ( HALF = 0.5D0 )
+ DOUBLE PRECISION TWO
+ PARAMETER ( TWO = 2.0D0 )
+*
* .. Local Scalars ..
- DOUBLE PRECISION E, F
+ DOUBLE PRECISION AA, BB, CC, DD, AB, CD, S, OV, UN, BE, EPS
+* ..
+* .. External Functions ..
+ DOUBLE PRECISION DLAMCH
+ EXTERNAL DLAMCH
+* ..
+* .. External Subroutines ..
+ EXTERNAL DLADIV1
* ..
* .. Intrinsic Functions ..
- INTRINSIC ABS
+ INTRINSIC ABS, MAX
* ..
* .. Executable Statements ..
*
- IF( ABS( D ).LT.ABS( C ) ) THEN
- E = D / C
- F = C + D*E
- P = ( A+B*E ) / F
- Q = ( B-A*E ) / F
+ AA = A
+ BB = B
+ CC = C
+ DD = D
+ AB = MAX( ABS(A), ABS(B) )
+ CD = MAX( ABS(C), ABS(D) )
+ S = 1.0D0
+
+ OV = DLAMCH( 'Overflow threshold' )
+ UN = DLAMCH( 'Safe minimum' )
+ EPS = DLAMCH( 'Epsilon' )
+ BE = BS / (EPS*EPS)
+
+ IF( AB >= HALF*OV ) THEN
+ AA = HALF * AA
+ BB = HALF * BB
+ S = TWO * S
+ END IF
+ IF( CD >= HALF*OV ) THEN
+ CC = HALF * CC
+ DD = HALF * DD
+ S = HALF * S
+ END IF
+ IF( AB <= UN*BS/EPS ) THEN
+ AA = AA * BE
+ BB = BB * BE
+ S = S / BE
+ END IF
+ IF( CD <= UN*BS/EPS ) THEN
+ CC = CC * BE
+ DD = DD * BE
+ S = S * BE
+ END IF
+ IF( ABS( D ).LE.ABS( C ) ) THEN
+ CALL DLADIV1(AA, BB, CC, DD, P, Q)
ELSE
- E = C / D
- F = D + C*E
- P = ( B+A*E ) / F
- Q = ( -A+B*E ) / F
+ CALL DLADIV1(BB, AA, DD, CC, P, Q)
+ Q = -Q
END IF
+ P = P * S
+ Q = Q * S
*
RETURN
*
* End of DLADIV
*
END
+
+*> \ingroup doubleOTHERauxiliary
+
+
+ SUBROUTINE DLADIV1( A, B, C, D, P, Q )
+*
+* -- LAPACK auxiliary routine (version 3.7.0) --
+* -- LAPACK is a software package provided by Univ. of Tennessee, --
+* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+* January 2013
+*
+* .. Scalar Arguments ..
+ DOUBLE PRECISION A, B, C, D, P, Q
+* ..
+*
+* =====================================================================
+*
+* .. Parameters ..
+ DOUBLE PRECISION ONE
+ PARAMETER ( ONE = 1.0D0 )
+*
+* .. Local Scalars ..
+ DOUBLE PRECISION R, T
+* ..
+* .. External Functions ..
+ DOUBLE PRECISION DLADIV2
+ EXTERNAL DLADIV2
+* ..
+* .. Executable Statements ..
+*
+ R = D / C
+ T = ONE / (C + D * R)
+ P = DLADIV2(A, B, C, D, R, T)
+ A = -A
+ Q = DLADIV2(B, A, C, D, R, T)
+*
+ RETURN
+*
+* End of DLADIV1
+*
+ END
+
+*> \ingroup doubleOTHERauxiliary
+
+ DOUBLE PRECISION FUNCTION DLADIV2( A, B, C, D, R, T )
+*
+* -- LAPACK auxiliary routine (version 3.7.0) --
+* -- LAPACK is a software package provided by Univ. of Tennessee, --
+* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+* January 2013
+*
+* .. Scalar Arguments ..
+ DOUBLE PRECISION A, B, C, D, R, T
+* ..
+*
+* =====================================================================
+*
+* .. Parameters ..
+ DOUBLE PRECISION ZERO
+ PARAMETER ( ZERO = 0.0D0 )
+*
+* .. Local Scalars ..
+ DOUBLE PRECISION BR
+* ..
+* .. Executable Statements ..
+*
+ IF( R.NE.ZERO ) THEN
+ BR = B * R
+ IF( BR.NE.ZERO ) THEN
+ DLADIV2 = (A + BR) * T
+ ELSE
+ DLADIV2 = A * T + (B * T) * R
+ END IF
+ ELSE
+ DLADIV2 = (A + D * (B / C)) * T
+ END IF
+*
+ RETURN
+*
+* End of DLADIV12
+*
+ END
diff --git a/lib/linalg/dlae2.f b/lib/linalg/dlae2.f
index 302eeaa1f7..ed77ff6dfe 100644
--- a/lib/linalg/dlae2.f
+++ b/lib/linalg/dlae2.f
@@ -2,28 +2,28 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLAE2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlae2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlae2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlae2.f">
+*> Download DLAE2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlae2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlae2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlae2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLAE2( A, B, C, RT1, RT2 )
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION A, B, C, RT1, RT2
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -73,14 +73,14 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
*> \par Further Details:
* =====================
@@ -102,10 +102,10 @@
* =====================================================================
SUBROUTINE DLAE2( A, B, C, RT1, RT2 )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION A, B, C, RT1, RT2
diff --git a/lib/linalg/dlaed0.f b/lib/linalg/dlaed0.f
index d8d7f53e1d..4e92da98ea 100644
--- a/lib/linalg/dlaed0.f
+++ b/lib/linalg/dlaed0.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLAED0 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed0.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed0.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed0.f">
+*> Download DLAED0 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed0.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed0.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed0.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLAED0( ICOMPQ, QSIZ, N, D, E, Q, LDQ, QSTORE, LDQS,
* WORK, IWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER ICOMPQ, INFO, LDQ, LDQS, N, QSIZ
* ..
@@ -29,7 +29,7 @@
* DOUBLE PRECISION D( * ), E( * ), Q( LDQ, * ), QSTORE( LDQS, * ),
* $ WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -153,12 +153,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup auxOTHERcomputational
*
@@ -172,10 +172,10 @@
SUBROUTINE DLAED0( ICOMPQ, QSIZ, N, D, E, Q, LDQ, QSTORE, LDQS,
$ WORK, IWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER ICOMPQ, INFO, LDQ, LDQS, N, QSIZ
diff --git a/lib/linalg/dlaed1.f b/lib/linalg/dlaed1.f
index c37c1d2100..30e71fa241 100644
--- a/lib/linalg/dlaed1.f
+++ b/lib/linalg/dlaed1.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLAED1 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed1.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed1.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed1.f">
+*> Download DLAED1 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed1.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed1.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed1.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLAED1( N, D, Q, LDQ, INDXQ, RHO, CUTPNT, WORK, IWORK,
* INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER CUTPNT, INFO, LDQ, N
* DOUBLE PRECISION RHO
@@ -29,7 +29,7 @@
* INTEGER INDXQ( * ), IWORK( * )
* DOUBLE PRECISION D( * ), Q( LDQ, * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -54,7 +54,7 @@
*>
*> The first stage consists of deflating the size of the problem
*> when there are multiple eigenvalues or if there is a zero in
-*> the Z vector. For each such occurence the dimension of the
+*> the Z vector. For each such occurrence the dimension of the
*> secular equation problem is reduced by one. This stage is
*> performed by the routine DLAED2.
*>
@@ -143,12 +143,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2016
*
*> \ingroup auxOTHERcomputational
*
@@ -163,10 +163,10 @@
SUBROUTINE DLAED1( N, D, Q, LDQ, INDXQ, RHO, CUTPNT, WORK, IWORK,
$ INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2016
*
* .. Scalar Arguments ..
INTEGER CUTPNT, INFO, LDQ, N
diff --git a/lib/linalg/dlaed2.f b/lib/linalg/dlaed2.f
index a75d72a737..fbcc87a880 100644
--- a/lib/linalg/dlaed2.f
+++ b/lib/linalg/dlaed2.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLAED2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed2.f">
+*> Download DLAED2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLAED2( K, N, N1, D, Q, LDQ, INDXQ, RHO, Z, DLAMDA, W,
* Q2, INDX, INDXC, INDXP, COLTYP, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, K, LDQ, N, N1
* DOUBLE PRECISION RHO
@@ -31,7 +31,7 @@
* DOUBLE PRECISION D( * ), DLAMDA( * ), Q( LDQ, * ), Q2( * ),
* $ W( * ), Z( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -192,12 +192,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup auxOTHERcomputational
*
@@ -212,10 +212,10 @@
SUBROUTINE DLAED2( K, N, N1, D, Q, LDQ, INDXQ, RHO, Z, DLAMDA, W,
$ Q2, INDX, INDXC, INDXP, COLTYP, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, K, LDQ, N, N1
@@ -520,10 +520,10 @@
* into the last N - K slots of D and Q respectively.
*
IF( K.LT.N ) THEN
- CALL DLACPY( 'A', N, CTOT( 4 ), Q2( IQ1 ), N,
+ CALL DLACPY( 'A', N, CTOT( 4 ), Q2( IQ1 ), N,
$ Q( 1, K+1 ), LDQ )
CALL DCOPY( N-K, Z( K+1 ), 1, D( K+1 ), 1 )
- END IF
+ END IF
*
* Copy CTOT into COLTYP for referencing in DLAED3.
*
diff --git a/lib/linalg/dlaed3.f b/lib/linalg/dlaed3.f
index 411d0f890f..d200fc0a22 100644
--- a/lib/linalg/dlaed3.f
+++ b/lib/linalg/dlaed3.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLAED3 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed3.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed3.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed3.f">
+*> Download DLAED3 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed3.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed3.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed3.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLAED3( K, N, N1, D, Q, LDQ, RHO, DLAMDA, Q2, INDX,
* CTOT, W, S, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, K, LDQ, N, N1
* DOUBLE PRECISION RHO
@@ -30,7 +30,7 @@
* DOUBLE PRECISION D( * ), DLAMDA( * ), Q( LDQ, * ), Q2( * ),
* $ S( * ), W( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -116,7 +116,7 @@
*>
*> \param[in] Q2
*> \verbatim
-*> Q2 is DOUBLE PRECISION array, dimension (LDQ2, N)
+*> Q2 is DOUBLE PRECISION array, dimension (LDQ2*N)
*> The first K columns of this matrix contain the non-deflated
*> eigenvectors for the split problem.
*> \endverbatim
@@ -165,12 +165,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2017
*
*> \ingroup auxOTHERcomputational
*
@@ -185,10 +185,10 @@
SUBROUTINE DLAED3( K, N, N1, D, Q, LDQ, RHO, DLAMDA, Q2, INDX,
$ CTOT, W, S, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.1) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2017
*
* .. Scalar Arguments ..
INTEGER INFO, K, LDQ, N, N1
diff --git a/lib/linalg/dlaed4.f b/lib/linalg/dlaed4.f
index c898b5b618..e7dc839df5 100644
--- a/lib/linalg/dlaed4.f
+++ b/lib/linalg/dlaed4.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLAED4 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed4.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed4.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed4.f">
+*> Download DLAED4 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed4.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed4.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed4.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLAED4( N, I, D, Z, DELTA, RHO, DLAM, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER I, INFO, N
* DOUBLE PRECISION DLAM, RHO
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION D( * ), DELTA( * ), Z( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -127,12 +127,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup auxOTHERcomputational
*
@@ -145,10 +145,10 @@
* =====================================================================
SUBROUTINE DLAED4( N, I, D, Z, DELTA, RHO, DLAM, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER I, INFO, N
diff --git a/lib/linalg/dlaed5.f b/lib/linalg/dlaed5.f
index 3ac9aa19a8..3ea9e401cf 100644
--- a/lib/linalg/dlaed5.f
+++ b/lib/linalg/dlaed5.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLAED5 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed5.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed5.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed5.f">
+*> Download DLAED5 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed5.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed5.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed5.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLAED5( I, D, Z, DELTA, RHO, DLAM )
-*
+*
* .. Scalar Arguments ..
* INTEGER I
* DOUBLE PRECISION DLAM, RHO
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION D( 2 ), DELTA( 2 ), Z( 2 )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -90,12 +90,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup auxOTHERcomputational
*
@@ -108,10 +108,10 @@
* =====================================================================
SUBROUTINE DLAED5( I, D, Z, DELTA, RHO, DLAM )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER I
diff --git a/lib/linalg/dlaed6.f b/lib/linalg/dlaed6.f
index 1ce4932b8e..daa8db39e4 100644
--- a/lib/linalg/dlaed6.f
+++ b/lib/linalg/dlaed6.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLAED6 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed6.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed6.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed6.f">
+*> Download DLAED6 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed6.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed6.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed6.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLAED6( KNITER, ORGATI, RHO, D, Z, FINIT, TAU, INFO )
-*
+*
* .. Scalar Arguments ..
* LOGICAL ORGATI
* INTEGER INFO, KNITER
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION D( 3 ), Z( 3 )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -110,12 +110,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup auxOTHERcomputational
*
@@ -140,10 +140,10 @@
* =====================================================================
SUBROUTINE DLAED6( KNITER, ORGATI, RHO, D, Z, FINIT, TAU, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
LOGICAL ORGATI
@@ -175,7 +175,7 @@
INTEGER I, ITER, NITER
DOUBLE PRECISION A, B, BASE, C, DDF, DF, EPS, ERRETM, ETA, F,
$ FC, SCLFAC, SCLINV, SMALL1, SMALL2, SMINV1,
- $ SMINV2, TEMP, TEMP1, TEMP2, TEMP3, TEMP4,
+ $ SMINV2, TEMP, TEMP1, TEMP2, TEMP3, TEMP4,
$ LBD, UBD
* ..
* .. Intrinsic Functions ..
@@ -195,7 +195,7 @@
IF( FINIT .LT. ZERO )THEN
LBD = ZERO
ELSE
- UBD = ZERO
+ UBD = ZERO
END IF
*
NITER = 1
@@ -363,7 +363,7 @@
*
TAU = TAU + ETA
IF( TAU .LT. LBD .OR. TAU .GT. UBD )
- $ TAU = ( LBD + UBD )/TWO
+ $ TAU = ( LBD + UBD )/TWO
*
FC = ZERO
ERRETM = ZERO
@@ -381,13 +381,14 @@
DF = DF + TEMP2
DDF = DDF + TEMP3
ELSE
- GO TO 60
+ GO TO 60
END IF
40 CONTINUE
F = FINIT + TAU*FC
ERRETM = EIGHT*( ABS( FINIT )+ABS( TAU )*ERRETM ) +
$ ABS( TAU )*DF
- IF( ABS( F ).LE.EPS*ERRETM )
+ IF( ( ABS( F ).LE.FOUR*EPS*ERRETM ) .OR.
+ $ ( (UBD-LBD).LE.FOUR*EPS*ABS(TAU) ) )
$ GO TO 60
IF( F .LE. ZERO )THEN
LBD = TAU
diff --git a/lib/linalg/dlaed7.f b/lib/linalg/dlaed7.f
index 972c1bc590..9c528added 100644
--- a/lib/linalg/dlaed7.f
+++ b/lib/linalg/dlaed7.f
@@ -2,18 +2,18 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLAED7 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed7.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed7.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed7.f">
+*> Download DLAED7 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed7.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed7.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed7.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
@@ -22,7 +22,7 @@
* LDQ, INDXQ, RHO, CUTPNT, QSTORE, QPTR, PRMPTR,
* PERM, GIVPTR, GIVCOL, GIVNUM, WORK, IWORK,
* INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER CURLVL, CURPBM, CUTPNT, ICOMPQ, INFO, LDQ, N,
* $ QSIZ, TLVLS
@@ -34,7 +34,7 @@
* DOUBLE PRECISION D( * ), GIVNUM( 2, * ), Q( LDQ, * ),
* $ QSTORE( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -59,7 +59,7 @@
*>
*> The first stage consists of deflating the size of the problem
*> when there are multiple eigenvalues or if there is a zero in
-*> the Z vector. For each such occurence the dimension of the
+*> the Z vector. For each such occurrence the dimension of the
*> secular equation problem is reduced by one. This stage is
*> performed by the routine DLAED8.
*>
@@ -239,12 +239,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2016
*
*> \ingroup auxOTHERcomputational
*
@@ -260,10 +260,10 @@
$ PERM, GIVPTR, GIVCOL, GIVNUM, WORK, IWORK,
$ INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2016
*
* .. Scalar Arguments ..
INTEGER CURLVL, CURPBM, CUTPNT, ICOMPQ, INFO, LDQ, N,
@@ -304,7 +304,7 @@
ELSE IF( N.LT.0 ) THEN
INFO = -2
ELSE IF( ICOMPQ.EQ.1 .AND. QSIZ.LT.N ) THEN
- INFO = -4
+ INFO = -3
ELSE IF( LDQ.LT.MAX( 1, N ) ) THEN
INFO = -9
ELSE IF( MIN( 1, N ).GT.CUTPNT .OR. N.LT.CUTPNT ) THEN
diff --git a/lib/linalg/dlaed8.f b/lib/linalg/dlaed8.f
index 42b4ea1577..c053347b10 100644
--- a/lib/linalg/dlaed8.f
+++ b/lib/linalg/dlaed8.f
@@ -2,18 +2,18 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLAED8 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed8.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed8.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed8.f">
+*> Download DLAED8 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed8.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed8.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed8.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
@@ -21,7 +21,7 @@
* SUBROUTINE DLAED8( ICOMPQ, K, N, QSIZ, D, Q, LDQ, INDXQ, RHO,
* CUTPNT, Z, DLAMDA, Q2, LDQ2, W, PERM, GIVPTR,
* GIVCOL, GIVNUM, INDXP, INDX, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER CUTPNT, GIVPTR, ICOMPQ, INFO, K, LDQ, LDQ2, N,
* $ QSIZ
@@ -33,7 +33,7 @@
* DOUBLE PRECISION D( * ), DLAMDA( * ), GIVNUM( 2, * ),
* $ Q( LDQ, * ), Q2( LDQ2, * ), W( * ), Z( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -223,12 +223,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup auxOTHERcomputational
*
@@ -243,10 +243,10 @@
$ CUTPNT, Z, DLAMDA, Q2, LDQ2, W, PERM, GIVPTR,
$ GIVCOL, GIVNUM, INDXP, INDX, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER CUTPNT, GIVPTR, ICOMPQ, INFO, K, LDQ, LDQ2, N,
@@ -308,8 +308,8 @@
END IF
*
* Need to initialize GIVPTR to O here in case of quick exit
-* to prevent an unspecified code behavior (usually sigfault)
-* when IWORK array on entry to *stedc is not zeroed
+* to prevent an unspecified code behavior (usually sigfault)
+* when IWORK array on entry to *stedc is not zeroed
* (or at least some IWORK entries which used in *laed7 for GIVPTR).
*
GIVPTR = 0
diff --git a/lib/linalg/dlaed9.f b/lib/linalg/dlaed9.f
index 8aa0687573..d3be22502a 100644
--- a/lib/linalg/dlaed9.f
+++ b/lib/linalg/dlaed9.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLAED9 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed9.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed9.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed9.f">
+*> Download DLAED9 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed9.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed9.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed9.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLAED9( K, KSTART, KSTOP, N, D, Q, LDQ, RHO, DLAMDA, W,
* S, LDS, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, K, KSTART, KSTOP, LDQ, LDS, N
* DOUBLE PRECISION RHO
@@ -29,7 +29,7 @@
* DOUBLE PRECISION D( * ), DLAMDA( * ), Q( LDQ, * ), S( LDS, * ),
* $ W( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -137,12 +137,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup auxOTHERcomputational
*
@@ -156,10 +156,10 @@
SUBROUTINE DLAED9( K, KSTART, KSTOP, N, D, Q, LDQ, RHO, DLAMDA, W,
$ S, LDS, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, K, KSTART, KSTOP, LDQ, LDS, N
diff --git a/lib/linalg/dlaeda.f b/lib/linalg/dlaeda.f
index 749a7c365a..4ca08a0879 100644
--- a/lib/linalg/dlaeda.f
+++ b/lib/linalg/dlaeda.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLAEDA + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaeda.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaeda.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaeda.f">
+*> Download DLAEDA + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaeda.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaeda.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaeda.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLAEDA( N, TLVLS, CURLVL, CURPBM, PRMPTR, PERM, GIVPTR,
* GIVCOL, GIVNUM, Q, QPTR, Z, ZTEMP, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER CURLVL, CURPBM, INFO, N, TLVLS
* ..
@@ -29,7 +29,7 @@
* $ PRMPTR( * ), QPTR( * )
* DOUBLE PRECISION GIVNUM( 2, * ), Q( * ), Z( * ), ZTEMP( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -147,12 +147,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup auxOTHERcomputational
*
@@ -166,10 +166,10 @@
SUBROUTINE DLAEDA( N, TLVLS, CURLVL, CURPBM, PRMPTR, PERM, GIVPTR,
$ GIVCOL, GIVNUM, Q, QPTR, Z, ZTEMP, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER CURLVL, CURPBM, INFO, N, TLVLS
diff --git a/lib/linalg/dlaev2.f b/lib/linalg/dlaev2.f
index 2e333ddf2c..4906f1a20c 100644
--- a/lib/linalg/dlaev2.f
+++ b/lib/linalg/dlaev2.f
@@ -2,28 +2,28 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLAEV2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaev2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaev2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaev2.f">
+*> Download DLAEV2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaev2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaev2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaev2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLAEV2( A, B, C, RT1, RT2, CS1, SN1 )
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION A, B, C, CS1, RT1, RT2, SN1
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -89,14 +89,14 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
*> \par Further Details:
* =====================
@@ -120,10 +120,10 @@
* =====================================================================
SUBROUTINE DLAEV2( A, B, C, RT1, RT2, CS1, SN1 )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION A, B, C, CS1, RT1, RT2, SN1
diff --git a/lib/linalg/dlaisnan.f b/lib/linalg/dlaisnan.f
index 58595c5c33..c2e87d88a0 100644
--- a/lib/linalg/dlaisnan.f
+++ b/lib/linalg/dlaisnan.f
@@ -2,28 +2,28 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLAISNAN + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaisnan.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaisnan.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaisnan.f">
+*> Download DLAISNAN + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaisnan.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaisnan.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaisnan.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* LOGICAL FUNCTION DLAISNAN( DIN1, DIN2 )
-*
+*
* .. Scalar Arguments ..
-* DOUBLE PRECISION DIN1, DIN2
+* DOUBLE PRECISION, INTENT(IN) :: DIN1, DIN2
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -62,25 +62,25 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2017
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
* =====================================================================
LOGICAL FUNCTION DLAISNAN( DIN1, DIN2 )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.1) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2017
*
* .. Scalar Arguments ..
- DOUBLE PRECISION DIN1, DIN2
+ DOUBLE PRECISION, INTENT(IN) :: DIN1, DIN2
* ..
*
* =====================================================================
diff --git a/lib/linalg/dlamch.f b/lib/linalg/dlamch.f
index 8f830e87cd..76f875cef6 100644
--- a/lib/linalg/dlamch.f
+++ b/lib/linalg/dlamch.f
@@ -1,47 +1,77 @@
+*> \brief \b DLAMCH
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+* Definition:
+* ===========
+*
+* DOUBLE PRECISION FUNCTION DLAMCH( CMACH )
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DLAMCH determines double precision machine parameters.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] CMACH
+*> \verbatim
+*> Specifies the value to be returned by DLAMCH:
+*> = 'E' or 'e', DLAMCH := eps
+*> = 'S' or 's , DLAMCH := sfmin
+*> = 'B' or 'b', DLAMCH := base
+*> = 'P' or 'p', DLAMCH := eps*base
+*> = 'N' or 'n', DLAMCH := t
+*> = 'R' or 'r', DLAMCH := rnd
+*> = 'M' or 'm', DLAMCH := emin
+*> = 'U' or 'u', DLAMCH := rmin
+*> = 'L' or 'l', DLAMCH := emax
+*> = 'O' or 'o', DLAMCH := rmax
+*> where
+*> eps = relative machine precision
+*> sfmin = safe minimum, such that 1/sfmin does not overflow
+*> base = base of the machine
+*> prec = eps*base
+*> t = number of (base) digits in the mantissa
+*> rnd = 1.0 when rounding occurs in addition, 0.0 otherwise
+*> emin = minimum exponent before (gradual) underflow
+*> rmin = underflow threshold - base**(emin-1)
+*> emax = largest exponent before overflow
+*> rmax = overflow threshold - (base**emax)*(1-eps)
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date December 2016
+*
+*> \ingroup auxOTHERauxiliary
+*
+* =====================================================================
DOUBLE PRECISION FUNCTION DLAMCH( CMACH )
*
-* -- LAPACK auxiliary routine (version 3.2) --
-* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-* November 2006
+* -- LAPACK auxiliary routine (version 3.7.0) --
+* -- LAPACK is a software package provided by Univ. of Tennessee, --
+* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER CMACH
* ..
*
-* Purpose
-* =======
-*
-* DLAMCH determines double precision machine parameters.
-*
-* Arguments
-* =========
-*
-* CMACH (input) CHARACTER*1
-* Specifies the value to be returned by DLAMCH:
-* = 'E' or 'e', DLAMCH := eps
-* = 'S' or 's , DLAMCH := sfmin
-* = 'B' or 'b', DLAMCH := base
-* = 'P' or 'p', DLAMCH := eps*base
-* = 'N' or 'n', DLAMCH := t
-* = 'R' or 'r', DLAMCH := rnd
-* = 'M' or 'm', DLAMCH := emin
-* = 'U' or 'u', DLAMCH := rmin
-* = 'L' or 'l', DLAMCH := emax
-* = 'O' or 'o', DLAMCH := rmax
-*
-* where
-*
-* eps = relative machine precision
-* sfmin = safe minimum, such that 1/sfmin does not overflow
-* base = base of the machine
-* prec = eps*base
-* t = number of (base) digits in the mantissa
-* rnd = 1.0 when rounding occurs in addition, 0.0 otherwise
-* emin = minimum exponent before (gradual) underflow
-* rmin = underflow threshold - base**(emin-1)
-* emax = largest exponent before overflow
-* rmax = overflow threshold - (base**emax)*(1-eps)
-*
* =====================================================================
*
* .. Parameters ..
@@ -49,552 +79,101 @@
PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
* ..
* .. Local Scalars ..
- LOGICAL FIRST, LRND
- INTEGER BETA, IMAX, IMIN, IT
- DOUBLE PRECISION BASE, EMAX, EMIN, EPS, PREC, RMACH, RMAX, RMIN,
- $ RND, SFMIN, SMALL, T
+ DOUBLE PRECISION RND, EPS, SFMIN, SMALL, RMACH
* ..
* .. External Functions ..
LOGICAL LSAME
EXTERNAL LSAME
* ..
-* .. External Subroutines ..
- EXTERNAL DLAMC2
-* ..
-* .. Save statement ..
- SAVE FIRST, EPS, SFMIN, BASE, T, RND, EMIN, RMIN,
- $ EMAX, RMAX, PREC
-* ..
-* .. Data statements ..
- DATA FIRST / .TRUE. /
+* .. Intrinsic Functions ..
+ INTRINSIC DIGITS, EPSILON, HUGE, MAXEXPONENT,
+ $ MINEXPONENT, RADIX, TINY
* ..
* .. Executable Statements ..
*
- IF( FIRST ) THEN
- CALL DLAMC2( BETA, IT, LRND, EPS, IMIN, RMIN, IMAX, RMAX )
- BASE = BETA
- T = IT
- IF( LRND ) THEN
- RND = ONE
- EPS = ( BASE**( 1-IT ) ) / 2
- ELSE
- RND = ZERO
- EPS = BASE**( 1-IT )
- END IF
- PREC = EPS*BASE
- EMIN = IMIN
- EMAX = IMAX
- SFMIN = RMIN
- SMALL = ONE / RMAX
- IF( SMALL.GE.SFMIN ) THEN
*
-* Use SMALL plus a bit, to avoid the possibility of rounding
-* causing overflow when computing 1/sfmin.
+* Assume rounding, not chopping. Always.
*
- SFMIN = SMALL*( ONE+EPS )
- END IF
+ RND = ONE
+*
+ IF( ONE.EQ.RND ) THEN
+ EPS = EPSILON(ZERO) * 0.5
+ ELSE
+ EPS = EPSILON(ZERO)
END IF
*
IF( LSAME( CMACH, 'E' ) ) THEN
RMACH = EPS
ELSE IF( LSAME( CMACH, 'S' ) ) THEN
+ SFMIN = TINY(ZERO)
+ SMALL = ONE / HUGE(ZERO)
+ IF( SMALL.GE.SFMIN ) THEN
+*
+* Use SMALL plus a bit, to avoid the possibility of rounding
+* causing overflow when computing 1/sfmin.
+*
+ SFMIN = SMALL*( ONE+EPS )
+ END IF
RMACH = SFMIN
ELSE IF( LSAME( CMACH, 'B' ) ) THEN
- RMACH = BASE
+ RMACH = RADIX(ZERO)
ELSE IF( LSAME( CMACH, 'P' ) ) THEN
- RMACH = PREC
+ RMACH = EPS * RADIX(ZERO)
ELSE IF( LSAME( CMACH, 'N' ) ) THEN
- RMACH = T
+ RMACH = DIGITS(ZERO)
ELSE IF( LSAME( CMACH, 'R' ) ) THEN
RMACH = RND
ELSE IF( LSAME( CMACH, 'M' ) ) THEN
- RMACH = EMIN
+ RMACH = MINEXPONENT(ZERO)
ELSE IF( LSAME( CMACH, 'U' ) ) THEN
- RMACH = RMIN
+ RMACH = tiny(zero)
ELSE IF( LSAME( CMACH, 'L' ) ) THEN
- RMACH = EMAX
+ RMACH = MAXEXPONENT(ZERO)
ELSE IF( LSAME( CMACH, 'O' ) ) THEN
- RMACH = RMAX
+ RMACH = HUGE(ZERO)
+ ELSE
+ RMACH = ZERO
END IF
*
DLAMCH = RMACH
- FIRST = .FALSE.
RETURN
*
* End of DLAMCH
*
END
-*
-************************************************************************
-*
- SUBROUTINE DLAMC1( BETA, T, RND, IEEE1 )
-*
-* -- LAPACK auxiliary routine (version 3.2) --
-* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-* November 2006
-*
-* .. Scalar Arguments ..
- LOGICAL IEEE1, RND
- INTEGER BETA, T
-* ..
-*
-* Purpose
-* =======
-*
-* DLAMC1 determines the machine parameters given by BETA, T, RND, and
-* IEEE1.
-*
-* Arguments
-* =========
-*
-* BETA (output) INTEGER
-* The base of the machine.
-*
-* T (output) INTEGER
-* The number of ( BETA ) digits in the mantissa.
-*
-* RND (output) LOGICAL
-* Specifies whether proper rounding ( RND = .TRUE. ) or
-* chopping ( RND = .FALSE. ) occurs in addition. This may not
-* be a reliable guide to the way in which the machine performs
-* its arithmetic.
-*
-* IEEE1 (output) LOGICAL
-* Specifies whether rounding appears to be done in the IEEE
-* 'round to nearest' style.
-*
-* Further Details
-* ===============
-*
-* The routine is based on the routine ENVRON by Malcolm and
-* incorporates suggestions by Gentleman and Marovich. See
-*
-* Malcolm M. A. (1972) Algorithms to reveal properties of
-* floating-point arithmetic. Comms. of the ACM, 15, 949-951.
-*
-* Gentleman W. M. and Marovich S. B. (1974) More on algorithms
-* that reveal properties of floating point arithmetic units.
-* Comms. of the ACM, 17, 276-277.
-*
-* =====================================================================
-*
-* .. Local Scalars ..
- LOGICAL FIRST, LIEEE1, LRND
- INTEGER LBETA, LT
- DOUBLE PRECISION A, B, C, F, ONE, QTR, SAVEC, T1, T2
-* ..
-* .. External Functions ..
- DOUBLE PRECISION DLAMC3
- EXTERNAL DLAMC3
-* ..
-* .. Save statement ..
- SAVE FIRST, LIEEE1, LBETA, LRND, LT
-* ..
-* .. Data statements ..
- DATA FIRST / .TRUE. /
-* ..
-* .. Executable Statements ..
-*
- IF( FIRST ) THEN
- ONE = 1
-*
-* LBETA, LIEEE1, LT and LRND are the local values of BETA,
-* IEEE1, T and RND.
-*
-* Throughout this routine we use the function DLAMC3 to ensure
-* that relevant values are stored and not held in registers, or
-* are not affected by optimizers.
-*
-* Compute a = 2.0**m with the smallest positive integer m such
-* that
-*
-* fl( a + 1.0 ) = a.
-*
- A = 1
- C = 1
-*
-*+ WHILE( C.EQ.ONE )LOOP
- 10 CONTINUE
- IF( C.EQ.ONE ) THEN
- A = 2*A
- C = DLAMC3( A, ONE )
- C = DLAMC3( C, -A )
- GO TO 10
- END IF
-*+ END WHILE
-*
-* Now compute b = 2.0**m with the smallest positive integer m
-* such that
-*
-* fl( a + b ) .gt. a.
-*
- B = 1
- C = DLAMC3( A, B )
-*
-*+ WHILE( C.EQ.A )LOOP
- 20 CONTINUE
- IF( C.EQ.A ) THEN
- B = 2*B
- C = DLAMC3( A, B )
- GO TO 20
- END IF
-*+ END WHILE
-*
-* Now compute the base. a and c are neighbouring floating point
-* numbers in the interval ( beta**t, beta**( t + 1 ) ) and so
-* their difference is beta. Adding 0.25 to c is to ensure that it
-* is truncated to beta and not ( beta - 1 ).
-*
- QTR = ONE / 4
- SAVEC = C
- C = DLAMC3( C, -A )
- LBETA = C + QTR
-*
-* Now determine whether rounding or chopping occurs, by adding a
-* bit less than beta/2 and a bit more than beta/2 to a.
-*
- B = LBETA
- F = DLAMC3( B / 2, -B / 100 )
- C = DLAMC3( F, A )
- IF( C.EQ.A ) THEN
- LRND = .TRUE.
- ELSE
- LRND = .FALSE.
- END IF
- F = DLAMC3( B / 2, B / 100 )
- C = DLAMC3( F, A )
- IF( ( LRND ) .AND. ( C.EQ.A ) )
- $ LRND = .FALSE.
-*
-* Try and decide whether rounding is done in the IEEE 'round to
-* nearest' style. B/2 is half a unit in the last place of the two
-* numbers A and SAVEC. Furthermore, A is even, i.e. has last bit
-* zero, and SAVEC is odd. Thus adding B/2 to A should not change
-* A, but adding B/2 to SAVEC should change SAVEC.
-*
- T1 = DLAMC3( B / 2, A )
- T2 = DLAMC3( B / 2, SAVEC )
- LIEEE1 = ( T1.EQ.A ) .AND. ( T2.GT.SAVEC ) .AND. LRND
-*
-* Now find the mantissa, t. It should be the integer part of
-* log to the base beta of a, however it is safer to determine t
-* by powering. So we find t as the smallest positive integer for
-* which
-*
-* fl( beta**t + 1.0 ) = 1.0.
-*
- LT = 0
- A = 1
- C = 1
-*
-*+ WHILE( C.EQ.ONE )LOOP
- 30 CONTINUE
- IF( C.EQ.ONE ) THEN
- LT = LT + 1
- A = A*LBETA
- C = DLAMC3( A, ONE )
- C = DLAMC3( C, -A )
- GO TO 30
- END IF
-*+ END WHILE
-*
- END IF
-*
- BETA = LBETA
- T = LT
- RND = LRND
- IEEE1 = LIEEE1
- FIRST = .FALSE.
- RETURN
-*
-* End of DLAMC1
-*
- END
-*
-************************************************************************
-*
- SUBROUTINE DLAMC2( BETA, T, RND, EPS, EMIN, RMIN, EMAX, RMAX )
-*
-* -- LAPACK auxiliary routine (version 3.2) --
-* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-* November 2006
-*
-* .. Scalar Arguments ..
- LOGICAL RND
- INTEGER BETA, EMAX, EMIN, T
- DOUBLE PRECISION EPS, RMAX, RMIN
-* ..
-*
-* Purpose
-* =======
-*
-* DLAMC2 determines the machine parameters specified in its argument
-* list.
-*
-* Arguments
-* =========
-*
-* BETA (output) INTEGER
-* The base of the machine.
-*
-* T (output) INTEGER
-* The number of ( BETA ) digits in the mantissa.
-*
-* RND (output) LOGICAL
-* Specifies whether proper rounding ( RND = .TRUE. ) or
-* chopping ( RND = .FALSE. ) occurs in addition. This may not
-* be a reliable guide to the way in which the machine performs
-* its arithmetic.
-*
-* EPS (output) DOUBLE PRECISION
-* The smallest positive number such that
-*
-* fl( 1.0 - EPS ) .LT. 1.0,
-*
-* where fl denotes the computed value.
-*
-* EMIN (output) INTEGER
-* The minimum exponent before (gradual) underflow occurs.
-*
-* RMIN (output) DOUBLE PRECISION
-* The smallest normalized number for the machine, given by
-* BASE**( EMIN - 1 ), where BASE is the floating point value
-* of BETA.
-*
-* EMAX (output) INTEGER
-* The maximum exponent before overflow occurs.
-*
-* RMAX (output) DOUBLE PRECISION
-* The largest positive number for the machine, given by
-* BASE**EMAX * ( 1 - EPS ), where BASE is the floating point
-* value of BETA.
-*
-* Further Details
-* ===============
-*
-* The computation of EPS is based on a routine PARANOIA by
-* W. Kahan of the University of California at Berkeley.
-*
-* =====================================================================
-*
-* .. Local Scalars ..
- LOGICAL FIRST, IEEE, IWARN, LIEEE1, LRND
- INTEGER GNMIN, GPMIN, I, LBETA, LEMAX, LEMIN, LT,
- $ NGNMIN, NGPMIN
- DOUBLE PRECISION A, B, C, HALF, LEPS, LRMAX, LRMIN, ONE, RBASE,
- $ SIXTH, SMALL, THIRD, TWO, ZERO
-* ..
-* .. External Functions ..
- DOUBLE PRECISION DLAMC3
- EXTERNAL DLAMC3
-* ..
-* .. External Subroutines ..
- EXTERNAL DLAMC1, DLAMC4, DLAMC5
-* ..
-* .. Intrinsic Functions ..
- INTRINSIC ABS, MAX, MIN
-* ..
-* .. Save statement ..
- SAVE FIRST, IWARN, LBETA, LEMAX, LEMIN, LEPS, LRMAX,
- $ LRMIN, LT
-* ..
-* .. Data statements ..
- DATA FIRST / .TRUE. / , IWARN / .FALSE. /
-* ..
-* .. Executable Statements ..
-*
- IF( FIRST ) THEN
- ZERO = 0
- ONE = 1
- TWO = 2
-*
-* LBETA, LT, LRND, LEPS, LEMIN and LRMIN are the local values of
-* BETA, T, RND, EPS, EMIN and RMIN.
-*
-* Throughout this routine we use the function DLAMC3 to ensure
-* that relevant values are stored and not held in registers, or
-* are not affected by optimizers.
-*
-* DLAMC1 returns the parameters LBETA, LT, LRND and LIEEE1.
-*
- CALL DLAMC1( LBETA, LT, LRND, LIEEE1 )
-*
-* Start to find EPS.
-*
- B = LBETA
- A = B**( -LT )
- LEPS = A
-*
-* Try some tricks to see whether or not this is the correct EPS.
-*
- B = TWO / 3
- HALF = ONE / 2
- SIXTH = DLAMC3( B, -HALF )
- THIRD = DLAMC3( SIXTH, SIXTH )
- B = DLAMC3( THIRD, -HALF )
- B = DLAMC3( B, SIXTH )
- B = ABS( B )
- IF( B.LT.LEPS )
- $ B = LEPS
-*
- LEPS = 1
-*
-*+ WHILE( ( LEPS.GT.B ).AND.( B.GT.ZERO ) )LOOP
- 10 CONTINUE
- IF( ( LEPS.GT.B ) .AND. ( B.GT.ZERO ) ) THEN
- LEPS = B
- C = DLAMC3( HALF*LEPS, ( TWO**5 )*( LEPS**2 ) )
- C = DLAMC3( HALF, -C )
- B = DLAMC3( HALF, C )
- C = DLAMC3( HALF, -B )
- B = DLAMC3( HALF, C )
- GO TO 10
- END IF
-*+ END WHILE
-*
- IF( A.LT.LEPS )
- $ LEPS = A
-*
-* Computation of EPS complete.
-*
-* Now find EMIN. Let A = + or - 1, and + or - (1 + BASE**(-3)).
-* Keep dividing A by BETA until (gradual) underflow occurs. This
-* is detected when we cannot recover the previous A.
-*
- RBASE = ONE / LBETA
- SMALL = ONE
- DO 20 I = 1, 3
- SMALL = DLAMC3( SMALL*RBASE, ZERO )
- 20 CONTINUE
- A = DLAMC3( ONE, SMALL )
- CALL DLAMC4( NGPMIN, ONE, LBETA )
- CALL DLAMC4( NGNMIN, -ONE, LBETA )
- CALL DLAMC4( GPMIN, A, LBETA )
- CALL DLAMC4( GNMIN, -A, LBETA )
- IEEE = .FALSE.
-*
- IF( ( NGPMIN.EQ.NGNMIN ) .AND. ( GPMIN.EQ.GNMIN ) ) THEN
- IF( NGPMIN.EQ.GPMIN ) THEN
- LEMIN = NGPMIN
-* ( Non twos-complement machines, no gradual underflow;
-* e.g., VAX )
- ELSE IF( ( GPMIN-NGPMIN ).EQ.3 ) THEN
- LEMIN = NGPMIN - 1 + LT
- IEEE = .TRUE.
-* ( Non twos-complement machines, with gradual underflow;
-* e.g., IEEE standard followers )
- ELSE
- LEMIN = MIN( NGPMIN, GPMIN )
-* ( A guess; no known machine )
- IWARN = .TRUE.
- END IF
-*
- ELSE IF( ( NGPMIN.EQ.GPMIN ) .AND. ( NGNMIN.EQ.GNMIN ) ) THEN
- IF( ABS( NGPMIN-NGNMIN ).EQ.1 ) THEN
- LEMIN = MAX( NGPMIN, NGNMIN )
-* ( Twos-complement machines, no gradual underflow;
-* e.g., CYBER 205 )
- ELSE
- LEMIN = MIN( NGPMIN, NGNMIN )
-* ( A guess; no known machine )
- IWARN = .TRUE.
- END IF
-*
- ELSE IF( ( ABS( NGPMIN-NGNMIN ).EQ.1 ) .AND.
- $ ( GPMIN.EQ.GNMIN ) ) THEN
- IF( ( GPMIN-MIN( NGPMIN, NGNMIN ) ).EQ.3 ) THEN
- LEMIN = MAX( NGPMIN, NGNMIN ) - 1 + LT
-* ( Twos-complement machines with gradual underflow;
-* no known machine )
- ELSE
- LEMIN = MIN( NGPMIN, NGNMIN )
-* ( A guess; no known machine )
- IWARN = .TRUE.
- END IF
-*
- ELSE
- LEMIN = MIN( NGPMIN, NGNMIN, GPMIN, GNMIN )
-* ( A guess; no known machine )
- IWARN = .TRUE.
- END IF
- FIRST = .FALSE.
-***
-* Comment out this if block if EMIN is ok
- IF( IWARN ) THEN
- FIRST = .TRUE.
- WRITE( 6, FMT = 9999 )LEMIN
- END IF
-***
-*
-* Assume IEEE arithmetic if we found denormalised numbers above,
-* or if arithmetic seems to round in the IEEE style, determined
-* in routine DLAMC1. A true IEEE machine should have both things
-* true; however, faulty machines may have one or the other.
-*
- IEEE = IEEE .OR. LIEEE1
-*
-* Compute RMIN by successive division by BETA. We could compute
-* RMIN as BASE**( EMIN - 1 ), but some machines underflow during
-* this computation.
-*
- LRMIN = 1
- DO 30 I = 1, 1 - LEMIN
- LRMIN = DLAMC3( LRMIN*RBASE, ZERO )
- 30 CONTINUE
-*
-* Finally, call DLAMC5 to compute EMAX and RMAX.
-*
- CALL DLAMC5( LBETA, LT, LEMIN, IEEE, LEMAX, LRMAX )
- END IF
-*
- BETA = LBETA
- T = LT
- RND = LRND
- EPS = LEPS
- EMIN = LEMIN
- RMIN = LRMIN
- EMAX = LEMAX
- RMAX = LRMAX
-*
- RETURN
-*
- 9999 FORMAT( / / ' WARNING. The value EMIN may be incorrect:-',
- $ ' EMIN = ', I8, /
- $ ' If, after inspection, the value EMIN looks',
- $ ' acceptable please comment out ',
- $ / ' the IF block as marked within the code of routine',
- $ ' DLAMC2,', / ' otherwise supply EMIN explicitly.', / )
-*
-* End of DLAMC2
-*
- END
-*
************************************************************************
-*
+*> \brief \b DLAMC3
+*> \details
+*> \b Purpose:
+*> \verbatim
+*> DLAMC3 is intended to force A and B to be stored prior to doing
+*> the addition of A and B , for use in situations where optimizers
+*> might hold one of these in a register.
+*> \endverbatim
+*> \author LAPACK is a software package provided by Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..
+*> \date December 2016
+*> \ingroup auxOTHERauxiliary
+*>
+*> \param[in] A
+*> \verbatim
+*> A is a DOUBLE PRECISION
+*> \endverbatim
+*>
+*> \param[in] B
+*> \verbatim
+*> B is a DOUBLE PRECISION
+*> The values A and B.
+*> \endverbatim
+*>
DOUBLE PRECISION FUNCTION DLAMC3( A, B )
*
-* -- LAPACK auxiliary routine (version 3.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-* November 2006
+* November 2010
*
* .. Scalar Arguments ..
DOUBLE PRECISION A, B
* ..
-*
-* Purpose
-* =======
-*
-* DLAMC3 is intended to force A and B to be stored prior to doing
-* the addition of A and B , for use in situations where optimizers
-* might hold one of these in a register.
-*
-* Arguments
-* =========
-*
-* A (input) DOUBLE PRECISION
-* B (input) DOUBLE PRECISION
-* The values A and B.
-*
* =====================================================================
*
* .. Executable Statements ..
@@ -608,245 +187,3 @@
END
*
************************************************************************
-*
- SUBROUTINE DLAMC4( EMIN, START, BASE )
-*
-* -- LAPACK auxiliary routine (version 3.2) --
-* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-* November 2006
-*
-* .. Scalar Arguments ..
- INTEGER BASE, EMIN
- DOUBLE PRECISION START
-* ..
-*
-* Purpose
-* =======
-*
-* DLAMC4 is a service routine for DLAMC2.
-*
-* Arguments
-* =========
-*
-* EMIN (output) INTEGER
-* The minimum exponent before (gradual) underflow, computed by
-* setting A = START and dividing by BASE until the previous A
-* can not be recovered.
-*
-* START (input) DOUBLE PRECISION
-* The starting point for determining EMIN.
-*
-* BASE (input) INTEGER
-* The base of the machine.
-*
-* =====================================================================
-*
-* .. Local Scalars ..
- INTEGER I
- DOUBLE PRECISION A, B1, B2, C1, C2, D1, D2, ONE, RBASE, ZERO
-* ..
-* .. External Functions ..
- DOUBLE PRECISION DLAMC3
- EXTERNAL DLAMC3
-* ..
-* .. Executable Statements ..
-*
- A = START
- ONE = 1
- RBASE = ONE / BASE
- ZERO = 0
- EMIN = 1
- B1 = DLAMC3( A*RBASE, ZERO )
- C1 = A
- C2 = A
- D1 = A
- D2 = A
-*+ WHILE( ( C1.EQ.A ).AND.( C2.EQ.A ).AND.
-* $ ( D1.EQ.A ).AND.( D2.EQ.A ) )LOOP
- 10 CONTINUE
- IF( ( C1.EQ.A ) .AND. ( C2.EQ.A ) .AND. ( D1.EQ.A ) .AND.
- $ ( D2.EQ.A ) ) THEN
- EMIN = EMIN - 1
- A = B1
- B1 = DLAMC3( A / BASE, ZERO )
- C1 = DLAMC3( B1*BASE, ZERO )
- D1 = ZERO
- DO 20 I = 1, BASE
- D1 = D1 + B1
- 20 CONTINUE
- B2 = DLAMC3( A*RBASE, ZERO )
- C2 = DLAMC3( B2 / RBASE, ZERO )
- D2 = ZERO
- DO 30 I = 1, BASE
- D2 = D2 + B2
- 30 CONTINUE
- GO TO 10
- END IF
-*+ END WHILE
-*
- RETURN
-*
-* End of DLAMC4
-*
- END
-*
-************************************************************************
-*
- SUBROUTINE DLAMC5( BETA, P, EMIN, IEEE, EMAX, RMAX )
-*
-* -- LAPACK auxiliary routine (version 3.2) --
-* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-* November 2006
-*
-* .. Scalar Arguments ..
- LOGICAL IEEE
- INTEGER BETA, EMAX, EMIN, P
- DOUBLE PRECISION RMAX
-* ..
-*
-* Purpose
-* =======
-*
-* DLAMC5 attempts to compute RMAX, the largest machine floating-point
-* number, without overflow. It assumes that EMAX + abs(EMIN) sum
-* approximately to a power of 2. It will fail on machines where this
-* assumption does not hold, for example, the Cyber 205 (EMIN = -28625,
-* EMAX = 28718). It will also fail if the value supplied for EMIN is
-* too large (i.e. too close to zero), probably with overflow.
-*
-* Arguments
-* =========
-*
-* BETA (input) INTEGER
-* The base of floating-point arithmetic.
-*
-* P (input) INTEGER
-* The number of base BETA digits in the mantissa of a
-* floating-point value.
-*
-* EMIN (input) INTEGER
-* The minimum exponent before (gradual) underflow.
-*
-* IEEE (input) LOGICAL
-* A logical flag specifying whether or not the arithmetic
-* system is thought to comply with the IEEE standard.
-*
-* EMAX (output) INTEGER
-* The largest exponent before overflow
-*
-* RMAX (output) DOUBLE PRECISION
-* The largest machine floating-point number.
-*
-* =====================================================================
-*
-* .. Parameters ..
- DOUBLE PRECISION ZERO, ONE
- PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )
-* ..
-* .. Local Scalars ..
- INTEGER EXBITS, EXPSUM, I, LEXP, NBITS, TRY, UEXP
- DOUBLE PRECISION OLDY, RECBAS, Y, Z
-* ..
-* .. External Functions ..
- DOUBLE PRECISION DLAMC3
- EXTERNAL DLAMC3
-* ..
-* .. Intrinsic Functions ..
- INTRINSIC MOD
-* ..
-* .. Executable Statements ..
-*
-* First compute LEXP and UEXP, two powers of 2 that bound
-* abs(EMIN). We then assume that EMAX + abs(EMIN) will sum
-* approximately to the bound that is closest to abs(EMIN).
-* (EMAX is the exponent of the required number RMAX).
-*
- LEXP = 1
- EXBITS = 1
- 10 CONTINUE
- TRY = LEXP*2
- IF( TRY.LE.( -EMIN ) ) THEN
- LEXP = TRY
- EXBITS = EXBITS + 1
- GO TO 10
- END IF
- IF( LEXP.EQ.-EMIN ) THEN
- UEXP = LEXP
- ELSE
- UEXP = TRY
- EXBITS = EXBITS + 1
- END IF
-*
-* Now -LEXP is less than or equal to EMIN, and -UEXP is greater
-* than or equal to EMIN. EXBITS is the number of bits needed to
-* store the exponent.
-*
- IF( ( UEXP+EMIN ).GT.( -LEXP-EMIN ) ) THEN
- EXPSUM = 2*LEXP
- ELSE
- EXPSUM = 2*UEXP
- END IF
-*
-* EXPSUM is the exponent range, approximately equal to
-* EMAX - EMIN + 1 .
-*
- EMAX = EXPSUM + EMIN - 1
- NBITS = 1 + EXBITS + P
-*
-* NBITS is the total number of bits needed to store a
-* floating-point number.
-*
- IF( ( MOD( NBITS, 2 ).EQ.1 ) .AND. ( BETA.EQ.2 ) ) THEN
-*
-* Either there are an odd number of bits used to store a
-* floating-point number, which is unlikely, or some bits are
-* not used in the representation of numbers, which is possible,
-* (e.g. Cray machines) or the mantissa has an implicit bit,
-* (e.g. IEEE machines, Dec Vax machines), which is perhaps the
-* most likely. We have to assume the last alternative.
-* If this is true, then we need to reduce EMAX by one because
-* there must be some way of representing zero in an implicit-bit
-* system. On machines like Cray, we are reducing EMAX by one
-* unnecessarily.
-*
- EMAX = EMAX - 1
- END IF
-*
- IF( IEEE ) THEN
-*
-* Assume we are on an IEEE machine which reserves one exponent
-* for infinity and NaN.
-*
- EMAX = EMAX - 1
- END IF
-*
-* Now create RMAX, the largest machine number, which should
-* be equal to (1.0 - BETA**(-P)) * BETA**EMAX .
-*
-* First compute 1.0 - BETA**(-P), being careful that the
-* result is less than 1.0 .
-*
- RECBAS = ONE / BETA
- Z = BETA - ONE
- Y = ZERO
- DO 20 I = 1, P
- Z = Z*RECBAS
- IF( Y.LT.ONE )
- $ OLDY = Y
- Y = DLAMC3( Y, Z )
- 20 CONTINUE
- IF( Y.GE.ONE )
- $ Y = OLDY
-*
-* Now multiply by BETA**EMAX to get RMAX.
-*
- DO 30 I = 1, EMAX
- Y = DLAMC3( Y*BETA, ZERO )
- 30 CONTINUE
-*
- RMAX = Y
- RETURN
-*
-* End of DLAMC5
-*
- END
diff --git a/lib/linalg/dlamrg.f b/lib/linalg/dlamrg.f
index 7126053e8a..de19508e45 100644
--- a/lib/linalg/dlamrg.f
+++ b/lib/linalg/dlamrg.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLAMRG + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlamrg.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlamrg.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlamrg.f">
+*> Download DLAMRG + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlamrg.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlamrg.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlamrg.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLAMRG( N1, N2, A, DTRD1, DTRD2, INDEX )
-*
+*
* .. Scalar Arguments ..
* INTEGER DTRD1, DTRD2, N1, N2
* ..
@@ -27,7 +27,7 @@
* INTEGER INDEX( * )
* DOUBLE PRECISION A( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -50,7 +50,7 @@
*> \param[in] N2
*> \verbatim
*> N2 is INTEGER
-*> These arguements contain the respective lengths of the two
+*> These arguments contain the respective lengths of the two
*> sorted lists to be merged.
*> \endverbatim
*>
@@ -87,22 +87,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2016
*
*> \ingroup auxOTHERcomputational
*
* =====================================================================
SUBROUTINE DLAMRG( N1, N2, A, DTRD1, DTRD2, INDEX )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2016
*
* .. Scalar Arguments ..
INTEGER DTRD1, DTRD2, N1, N2
diff --git a/lib/linalg/dlange.f b/lib/linalg/dlange.f
index bec815d1ef..9dbf45e818 100644
--- a/lib/linalg/dlange.f
+++ b/lib/linalg/dlange.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLANGE + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlange.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlange.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlange.f">
+*> Download DLANGE + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlange.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlange.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlange.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* DOUBLE PRECISION FUNCTION DLANGE( NORM, M, N, A, LDA, WORK )
-*
+*
* .. Scalar Arguments ..
* CHARACTER NORM
* INTEGER LDA, M, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -102,22 +102,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleGEauxiliary
*
* =====================================================================
DOUBLE PRECISION FUNCTION DLANGE( NORM, M, N, A, LDA, WORK )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER NORM
diff --git a/lib/linalg/dlanst.f b/lib/linalg/dlanst.f
index 213b06ada0..e952e2dd21 100644
--- a/lib/linalg/dlanst.f
+++ b/lib/linalg/dlanst.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLANST + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlanst.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlanst.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlanst.f">
+*> Download DLANST + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlanst.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlanst.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlanst.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* DOUBLE PRECISION FUNCTION DLANST( NORM, N, D, E )
-*
+*
* .. Scalar Arguments ..
* CHARACTER NORM
* INTEGER N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION D( * ), E( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -88,22 +88,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
* =====================================================================
DOUBLE PRECISION FUNCTION DLANST( NORM, N, D, E )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER NORM
diff --git a/lib/linalg/dlansy.f b/lib/linalg/dlansy.f
index bc70ab8eda..2372fce0a8 100644
--- a/lib/linalg/dlansy.f
+++ b/lib/linalg/dlansy.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLANSY + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlansy.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlansy.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlansy.f">
+*> Download DLANSY + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlansy.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlansy.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlansy.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* DOUBLE PRECISION FUNCTION DLANSY( NORM, UPLO, N, A, LDA, WORK )
-*
+*
* .. Scalar Arguments ..
* CHARACTER NORM, UPLO
* INTEGER LDA, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -110,22 +110,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleSYauxiliary
*
* =====================================================================
DOUBLE PRECISION FUNCTION DLANSY( NORM, UPLO, N, A, LDA, WORK )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER NORM, UPLO
diff --git a/lib/linalg/dlapy2.f b/lib/linalg/dlapy2.f
index d43b0d5d14..bc01829a24 100644
--- a/lib/linalg/dlapy2.f
+++ b/lib/linalg/dlapy2.f
@@ -2,28 +2,28 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLAPY2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlapy2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlapy2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlapy2.f">
+*> Download DLAPY2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlapy2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlapy2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlapy2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* DOUBLE PRECISION FUNCTION DLAPY2( X, Y )
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION X, Y
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -51,22 +51,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2017
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
* =====================================================================
DOUBLE PRECISION FUNCTION DLAPY2( X, Y )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.1) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2017
*
* .. Scalar Arguments ..
DOUBLE PRECISION X, Y
@@ -82,20 +82,32 @@
* ..
* .. Local Scalars ..
DOUBLE PRECISION W, XABS, YABS, Z
+ LOGICAL X_IS_NAN, Y_IS_NAN
+* ..
+* .. External Functions ..
+ LOGICAL DISNAN
+ EXTERNAL DISNAN
* ..
* .. Intrinsic Functions ..
INTRINSIC ABS, MAX, MIN, SQRT
* ..
* .. Executable Statements ..
*
- XABS = ABS( X )
- YABS = ABS( Y )
- W = MAX( XABS, YABS )
- Z = MIN( XABS, YABS )
- IF( Z.EQ.ZERO ) THEN
- DLAPY2 = W
- ELSE
- DLAPY2 = W*SQRT( ONE+( Z / W )**2 )
+ X_IS_NAN = DISNAN( X )
+ Y_IS_NAN = DISNAN( Y )
+ IF ( X_IS_NAN ) DLAPY2 = X
+ IF ( Y_IS_NAN ) DLAPY2 = Y
+*
+ IF ( .NOT.( X_IS_NAN.OR.Y_IS_NAN ) ) THEN
+ XABS = ABS( X )
+ YABS = ABS( Y )
+ W = MAX( XABS, YABS )
+ Z = MIN( XABS, YABS )
+ IF( Z.EQ.ZERO ) THEN
+ DLAPY2 = W
+ ELSE
+ DLAPY2 = W*SQRT( ONE+( Z / W )**2 )
+ END IF
END IF
RETURN
*
diff --git a/lib/linalg/dlapy3.f b/lib/linalg/dlapy3.f
index 23feecc447..3bbba88875 100644
--- a/lib/linalg/dlapy3.f
+++ b/lib/linalg/dlapy3.f
@@ -2,28 +2,28 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLAPY3 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlapy3.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlapy3.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlapy3.f">
+*> Download DLAPY3 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlapy3.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlapy3.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlapy3.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* DOUBLE PRECISION FUNCTION DLAPY3( X, Y, Z )
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION X, Y, Z
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -56,22 +56,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
* =====================================================================
DOUBLE PRECISION FUNCTION DLAPY3( X, Y, Z )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION X, Y, Z
diff --git a/lib/linalg/dlarf.f b/lib/linalg/dlarf.f
index 80dca69af7..e99d0bb2a9 100644
--- a/lib/linalg/dlarf.f
+++ b/lib/linalg/dlarf.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLARF + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarf.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarf.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarf.f">
+*> Download DLARF + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarf.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarf.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarf.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLARF( SIDE, M, N, V, INCV, TAU, C, LDC, WORK )
-*
+*
* .. Scalar Arguments ..
* CHARACTER SIDE
* INTEGER INCV, LDC, M, N
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION C( LDC, * ), V( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -112,22 +112,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleOTHERauxiliary
*
* =====================================================================
SUBROUTINE DLARF( SIDE, M, N, V, INCV, TAU, C, LDC, WORK )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER SIDE
diff --git a/lib/linalg/dlarfb.f b/lib/linalg/dlarfb.f
index 17218478af..5b2cc2ba80 100644
--- a/lib/linalg/dlarfb.f
+++ b/lib/linalg/dlarfb.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLARFB + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarfb.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarfb.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarfb.f">
+*> Download DLARFB + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarfb.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarfb.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarfb.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
* T, LDT, C, LDC, WORK, LDWORK )
-*
+*
* .. Scalar Arguments ..
* CHARACTER DIRECT, SIDE, STOREV, TRANS
* INTEGER K, LDC, LDT, LDV, LDWORK, M, N
@@ -29,7 +29,7 @@
* DOUBLE PRECISION C( LDC, * ), T( LDT, * ), V( LDV, * ),
* $ WORK( LDWORK, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -154,12 +154,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2013
*
*> \ingroup doubleOTHERauxiliary
*
@@ -195,10 +195,10 @@
SUBROUTINE DLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
$ T, LDT, C, LDC, WORK, LDWORK )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2013
*
* .. Scalar Arguments ..
CHARACTER DIRECT, SIDE, STOREV, TRANS
@@ -217,12 +217,11 @@
* ..
* .. Local Scalars ..
CHARACTER TRANST
- INTEGER I, J, LASTV, LASTC, lastv2
+ INTEGER I, J
* ..
* .. External Functions ..
LOGICAL LSAME
- INTEGER ILADLR, ILADLC
- EXTERNAL LSAME, ILADLR, ILADLC
+ EXTERNAL LSAME
* ..
* .. External Subroutines ..
EXTERNAL DCOPY, DGEMM, DTRMM
@@ -252,58 +251,53 @@
*
* Form H * C or H**T * C where C = ( C1 )
* ( C2 )
-*
- LASTV = MAX( K, ILADLR( M, K, V, LDV ) )
- LASTC = ILADLC( LASTV, N, C, LDC )
*
* W := C**T * V = (C1**T * V1 + C2**T * V2) (stored in WORK)
*
* W := C1**T
*
DO 10 J = 1, K
- CALL DCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 )
+ CALL DCOPY( N, C( J, 1 ), LDC, WORK( 1, J ), 1 )
10 CONTINUE
*
* W := W * V1
*
- CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit', N,
+ $ K, ONE, V, LDV, WORK, LDWORK )
+ IF( M.GT.K ) THEN
*
-* W := W + C2**T *V2
+* W := W + C2**T * V2
*
- CALL DGEMM( 'Transpose', 'No transpose',
- $ LASTC, K, LASTV-K,
- $ ONE, C( K+1, 1 ), LDC, V( K+1, 1 ), LDV,
- $ ONE, WORK, LDWORK )
+ CALL DGEMM( 'Transpose', 'No transpose', N, K, M-K,
+ $ ONE, C( K+1, 1 ), LDC, V( K+1, 1 ), LDV,
+ $ ONE, WORK, LDWORK )
END IF
*
* W := W * T**T or W * T
*
- CALL DTRMM( 'Right', 'Upper', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V * W**T
*
- IF( LASTV.GT.K ) THEN
+ IF( M.GT.K ) THEN
*
* C2 := C2 - V2 * W**T
*
- CALL DGEMM( 'No transpose', 'Transpose',
- $ LASTV-K, LASTC, K,
- $ -ONE, V( K+1, 1 ), LDV, WORK, LDWORK, ONE,
- $ C( K+1, 1 ), LDC )
+ CALL DGEMM( 'No transpose', 'Transpose', M-K, N, K,
+ $ -ONE, V( K+1, 1 ), LDV, WORK, LDWORK, ONE,
+ $ C( K+1, 1 ), LDC )
END IF
*
* W := W * V1**T
*
- CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', N, K,
+ $ ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W**T
*
DO 30 J = 1, K
- DO 20 I = 1, LASTC
+ DO 20 I = 1, N
C( J, I ) = C( J, I ) - WORK( I, J )
20 CONTINUE
30 CONTINUE
@@ -311,58 +305,53 @@
ELSE IF( LSAME( SIDE, 'R' ) ) THEN
*
* Form C * H or C * H**T where C = ( C1 C2 )
-*
- LASTV = MAX( K, ILADLR( N, K, V, LDV ) )
- LASTC = ILADLR( M, LASTV, C, LDC )
*
* W := C * V = (C1*V1 + C2*V2) (stored in WORK)
*
* W := C1
*
DO 40 J = 1, K
- CALL DCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 )
+ CALL DCOPY( M, C( 1, J ), 1, WORK( 1, J ), 1 )
40 CONTINUE
*
* W := W * V1
*
- CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit', M,
+ $ K, ONE, V, LDV, WORK, LDWORK )
+ IF( N.GT.K ) THEN
*
* W := W + C2 * V2
*
- CALL DGEMM( 'No transpose', 'No transpose',
- $ LASTC, K, LASTV-K,
- $ ONE, C( 1, K+1 ), LDC, V( K+1, 1 ), LDV,
- $ ONE, WORK, LDWORK )
+ CALL DGEMM( 'No transpose', 'No transpose', M, K, N-K,
+ $ ONE, C( 1, K+1 ), LDC, V( K+1, 1 ), LDV,
+ $ ONE, WORK, LDWORK )
END IF
*
* W := W * T or W * T**T
*
- CALL DTRMM( 'Right', 'Upper', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V**T
*
- IF( LASTV.GT.K ) THEN
+ IF( N.GT.K ) THEN
*
* C2 := C2 - W * V2**T
*
- CALL DGEMM( 'No transpose', 'Transpose',
- $ LASTC, LASTV-K, K,
- $ -ONE, WORK, LDWORK, V( K+1, 1 ), LDV, ONE,
- $ C( 1, K+1 ), LDC )
+ CALL DGEMM( 'No transpose', 'Transpose', M, N-K, K,
+ $ -ONE, WORK, LDWORK, V( K+1, 1 ), LDV, ONE,
+ $ C( 1, K+1 ), LDC )
END IF
*
* W := W * V1**T
*
- CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', M, K,
+ $ ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W
*
DO 60 J = 1, K
- DO 50 I = 1, LASTC
+ DO 50 I = 1, M
C( I, J ) = C( I, J ) - WORK( I, J )
50 CONTINUE
60 CONTINUE
@@ -378,36 +367,31 @@
*
* Form H * C or H**T * C where C = ( C1 )
* ( C2 )
-*
- LASTC = ILADLC( M, N, C, LDC )
*
* W := C**T * V = (C1**T * V1 + C2**T * V2) (stored in WORK)
*
* W := C2**T
*
DO 70 J = 1, K
- CALL DCOPY( LASTC, C( M-K+J, 1 ), LDC,
- $ WORK( 1, J ), 1 )
+ CALL DCOPY( N, C( M-K+J, 1 ), LDC, WORK( 1, J ), 1 )
70 CONTINUE
*
* W := W * V2
*
- CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( M-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit', N,
+ $ K, ONE, V( M-K+1, 1 ), LDV, WORK, LDWORK )
IF( M.GT.K ) THEN
*
-* W := W + C1**T*V1
+* W := W + C1**T * V1
*
- CALL DGEMM( 'Transpose', 'No transpose',
- $ LASTC, K, M-K, ONE, C, LDC, V, LDV,
- $ ONE, WORK, LDWORK )
+ CALL DGEMM( 'Transpose', 'No transpose', N, K, M-K,
+ $ ONE, C, LDC, V, LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T**T or W * T
*
- CALL DTRMM( 'Right', 'Lower', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V * W**T
*
@@ -415,57 +399,51 @@
*
* C1 := C1 - V1 * W**T
*
- CALL DGEMM( 'No transpose', 'Transpose',
- $ M-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK,
- $ ONE, C, LDC )
+ CALL DGEMM( 'No transpose', 'Transpose', M-K, N, K,
+ $ -ONE, V, LDV, WORK, LDWORK, ONE, C, LDC )
END IF
*
* W := W * V2**T
*
- CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit',
- $ LASTC, K, ONE, V( M-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', N, K,
+ $ ONE, V( M-K+1, 1 ), LDV, WORK, LDWORK )
*
* C2 := C2 - W**T
*
DO 90 J = 1, K
- DO 80 I = 1, LASTC
- C( M-K+J, I ) = C( M-K+J, I ) - WORK(I, J)
+ DO 80 I = 1, N
+ C( M-K+J, I ) = C( M-K+J, I ) - WORK( I, J )
80 CONTINUE
90 CONTINUE
*
ELSE IF( LSAME( SIDE, 'R' ) ) THEN
*
* Form C * H or C * H**T where C = ( C1 C2 )
-*
- LASTC = ILADLR( M, N, C, LDC )
*
* W := C * V = (C1*V1 + C2*V2) (stored in WORK)
*
* W := C2
*
DO 100 J = 1, K
- CALL DCOPY( LASTC, C( 1, N-K+J ), 1, WORK( 1, J ), 1 )
+ CALL DCOPY( M, C( 1, N-K+J ), 1, WORK( 1, J ), 1 )
100 CONTINUE
*
* W := W * V2
*
- CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( N-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit', M,
+ $ K, ONE, V( N-K+1, 1 ), LDV, WORK, LDWORK )
IF( N.GT.K ) THEN
*
* W := W + C1 * V1
*
- CALL DGEMM( 'No transpose', 'No transpose',
- $ LASTC, K, N-K, ONE, C, LDC, V, LDV,
- $ ONE, WORK, LDWORK )
+ CALL DGEMM( 'No transpose', 'No transpose', M, K, N-K,
+ $ ONE, C, LDC, V, LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T or W * T**T
*
- CALL DTRMM( 'Right', 'Lower', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V**T
*
@@ -473,22 +451,20 @@
*
* C1 := C1 - W * V1**T
*
- CALL DGEMM( 'No transpose', 'Transpose',
- $ LASTC, N-K, K, -ONE, WORK, LDWORK, V, LDV,
- $ ONE, C, LDC )
+ CALL DGEMM( 'No transpose', 'Transpose', M, N-K, K,
+ $ -ONE, WORK, LDWORK, V, LDV, ONE, C, LDC )
END IF
*
* W := W * V2**T
*
- CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit',
- $ LASTC, K, ONE, V( N-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', M, K,
+ $ ONE, V( N-K+1, 1 ), LDV, WORK, LDWORK )
*
* C2 := C2 - W
*
DO 120 J = 1, K
- DO 110 I = 1, LASTC
- C( I, N-K+J ) = C( I, N-K+J ) - WORK(I, J)
+ DO 110 I = 1, M
+ C( I, N-K+J ) = C( I, N-K+J ) - WORK( I, J )
110 CONTINUE
120 CONTINUE
END IF
@@ -505,58 +481,53 @@
*
* Form H * C or H**T * C where C = ( C1 )
* ( C2 )
-*
- LASTV = MAX( K, ILADLC( K, M, V, LDV ) )
- LASTC = ILADLC( LASTV, N, C, LDC )
*
* W := C**T * V**T = (C1**T * V1**T + C2**T * V2**T) (stored in WORK)
*
* W := C1**T
*
DO 130 J = 1, K
- CALL DCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 )
+ CALL DCOPY( N, C( J, 1 ), LDC, WORK( 1, J ), 1 )
130 CONTINUE
*
* W := W * V1**T
*
- CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', N, K,
+ $ ONE, V, LDV, WORK, LDWORK )
+ IF( M.GT.K ) THEN
*
-* W := W + C2**T*V2**T
+* W := W + C2**T * V2**T
*
- CALL DGEMM( 'Transpose', 'Transpose',
- $ LASTC, K, LASTV-K,
- $ ONE, C( K+1, 1 ), LDC, V( 1, K+1 ), LDV,
- $ ONE, WORK, LDWORK )
+ CALL DGEMM( 'Transpose', 'Transpose', N, K, M-K, ONE,
+ $ C( K+1, 1 ), LDC, V( 1, K+1 ), LDV, ONE,
+ $ WORK, LDWORK )
END IF
*
* W := W * T**T or W * T
*
- CALL DTRMM( 'Right', 'Upper', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V**T * W**T
*
- IF( LASTV.GT.K ) THEN
+ IF( M.GT.K ) THEN
*
* C2 := C2 - V2**T * W**T
*
- CALL DGEMM( 'Transpose', 'Transpose',
- $ LASTV-K, LASTC, K,
- $ -ONE, V( 1, K+1 ), LDV, WORK, LDWORK,
- $ ONE, C( K+1, 1 ), LDC )
+ CALL DGEMM( 'Transpose', 'Transpose', M-K, N, K, -ONE,
+ $ V( 1, K+1 ), LDV, WORK, LDWORK, ONE,
+ $ C( K+1, 1 ), LDC )
END IF
*
* W := W * V1
*
- CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit', N,
+ $ K, ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W**T
*
DO 150 J = 1, K
- DO 140 I = 1, LASTC
+ DO 140 I = 1, N
C( J, I ) = C( J, I ) - WORK( I, J )
140 CONTINUE
150 CONTINUE
@@ -564,58 +535,53 @@
ELSE IF( LSAME( SIDE, 'R' ) ) THEN
*
* Form C * H or C * H**T where C = ( C1 C2 )
-*
- LASTV = MAX( K, ILADLC( K, N, V, LDV ) )
- LASTC = ILADLR( M, LASTV, C, LDC )
*
* W := C * V**T = (C1*V1**T + C2*V2**T) (stored in WORK)
*
* W := C1
*
DO 160 J = 1, K
- CALL DCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 )
+ CALL DCOPY( M, C( 1, J ), 1, WORK( 1, J ), 1 )
160 CONTINUE
*
* W := W * V1**T
*
- CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', M, K,
+ $ ONE, V, LDV, WORK, LDWORK )
+ IF( N.GT.K ) THEN
*
* W := W + C2 * V2**T
*
- CALL DGEMM( 'No transpose', 'Transpose',
- $ LASTC, K, LASTV-K,
- $ ONE, C( 1, K+1 ), LDC, V( 1, K+1 ), LDV,
- $ ONE, WORK, LDWORK )
+ CALL DGEMM( 'No transpose', 'Transpose', M, K, N-K,
+ $ ONE, C( 1, K+1 ), LDC, V( 1, K+1 ), LDV,
+ $ ONE, WORK, LDWORK )
END IF
*
* W := W * T or W * T**T
*
- CALL DTRMM( 'Right', 'Upper', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V
*
- IF( LASTV.GT.K ) THEN
+ IF( N.GT.K ) THEN
*
* C2 := C2 - W * V2
*
- CALL DGEMM( 'No transpose', 'No transpose',
- $ LASTC, LASTV-K, K,
- $ -ONE, WORK, LDWORK, V( 1, K+1 ), LDV,
- $ ONE, C( 1, K+1 ), LDC )
+ CALL DGEMM( 'No transpose', 'No transpose', M, N-K, K,
+ $ -ONE, WORK, LDWORK, V( 1, K+1 ), LDV, ONE,
+ $ C( 1, K+1 ), LDC )
END IF
*
* W := W * V1
*
- CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit', M,
+ $ K, ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W
*
DO 180 J = 1, K
- DO 170 I = 1, LASTC
+ DO 170 I = 1, M
C( I, J ) = C( I, J ) - WORK( I, J )
170 CONTINUE
180 CONTINUE
@@ -631,36 +597,31 @@
*
* Form H * C or H**T * C where C = ( C1 )
* ( C2 )
-*
- LASTC = ILADLC( M, N, C, LDC )
*
* W := C**T * V**T = (C1**T * V1**T + C2**T * V2**T) (stored in WORK)
*
* W := C2**T
*
DO 190 J = 1, K
- CALL DCOPY( LASTC, C( M-K+J, 1 ), LDC,
- $ WORK( 1, J ), 1 )
+ CALL DCOPY( N, C( M-K+J, 1 ), LDC, WORK( 1, J ), 1 )
190 CONTINUE
*
* W := W * V2**T
*
- CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit',
- $ LASTC, K, ONE, V( 1, M-K+1 ), LDV,
- $ WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', N, K,
+ $ ONE, V( 1, M-K+1 ), LDV, WORK, LDWORK )
IF( M.GT.K ) THEN
*
* W := W + C1**T * V1**T
*
- CALL DGEMM( 'Transpose', 'Transpose',
- $ LASTC, K, M-K, ONE, C, LDC, V, LDV,
- $ ONE, WORK, LDWORK )
+ CALL DGEMM( 'Transpose', 'Transpose', N, K, M-K, ONE,
+ $ C, LDC, V, LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T**T or W * T
*
- CALL DTRMM( 'Right', 'Lower', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V**T * W**T
*
@@ -668,58 +629,51 @@
*
* C1 := C1 - V1**T * W**T
*
- CALL DGEMM( 'Transpose', 'Transpose',
- $ M-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK,
- $ ONE, C, LDC )
+ CALL DGEMM( 'Transpose', 'Transpose', M-K, N, K, -ONE,
+ $ V, LDV, WORK, LDWORK, ONE, C, LDC )
END IF
*
* W := W * V2
*
- CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( 1, M-K+1 ), LDV,
- $ WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit', N,
+ $ K, ONE, V( 1, M-K+1 ), LDV, WORK, LDWORK )
*
* C2 := C2 - W**T
*
DO 210 J = 1, K
- DO 200 I = 1, LASTC
- C( M-K+J, I ) = C( M-K+J, I ) - WORK(I, J)
+ DO 200 I = 1, N
+ C( M-K+J, I ) = C( M-K+J, I ) - WORK( I, J )
200 CONTINUE
210 CONTINUE
*
ELSE IF( LSAME( SIDE, 'R' ) ) THEN
*
-* Form C * H or C * H**T where C = ( C1 C2 )
-*
- LASTC = ILADLR( M, N, C, LDC )
+* Form C * H or C * H' where C = ( C1 C2 )
*
* W := C * V**T = (C1*V1**T + C2*V2**T) (stored in WORK)
*
* W := C2
*
DO 220 J = 1, K
- CALL DCOPY( LASTC, C( 1, N-K+J ), 1,
- $ WORK( 1, J ), 1 )
+ CALL DCOPY( M, C( 1, N-K+J ), 1, WORK( 1, J ), 1 )
220 CONTINUE
*
* W := W * V2**T
*
- CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit',
- $ LASTC, K, ONE, V( 1, N-K+1 ), LDV,
- $ WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', M, K,
+ $ ONE, V( 1, N-K+1 ), LDV, WORK, LDWORK )
IF( N.GT.K ) THEN
*
* W := W + C1 * V1**T
*
- CALL DGEMM( 'No transpose', 'Transpose',
- $ LASTC, K, N-K, ONE, C, LDC, V, LDV,
- $ ONE, WORK, LDWORK )
+ CALL DGEMM( 'No transpose', 'Transpose', M, K, N-K,
+ $ ONE, C, LDC, V, LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T or W * T**T
*
- CALL DTRMM( 'Right', 'Lower', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V
*
@@ -727,22 +681,20 @@
*
* C1 := C1 - W * V1
*
- CALL DGEMM( 'No transpose', 'No transpose',
- $ LASTC, N-K, K, -ONE, WORK, LDWORK, V, LDV,
- $ ONE, C, LDC )
+ CALL DGEMM( 'No transpose', 'No transpose', M, N-K, K,
+ $ -ONE, WORK, LDWORK, V, LDV, ONE, C, LDC )
END IF
*
* W := W * V2
*
- CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( 1, N-K+1 ), LDV,
- $ WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit', M,
+ $ K, ONE, V( 1, N-K+1 ), LDV, WORK, LDWORK )
*
* C1 := C1 - W
*
DO 240 J = 1, K
- DO 230 I = 1, LASTC
- C( I, N-K+J ) = C( I, N-K+J ) - WORK(I, J)
+ DO 230 I = 1, M
+ C( I, N-K+J ) = C( I, N-K+J ) - WORK( I, J )
230 CONTINUE
240 CONTINUE
*
diff --git a/lib/linalg/dlarfg.f b/lib/linalg/dlarfg.f
index ce91d33c1a..cb177a5703 100644
--- a/lib/linalg/dlarfg.f
+++ b/lib/linalg/dlarfg.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLARFG + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarfg.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarfg.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarfg.f">
+*> Download DLARFG + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarfg.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarfg.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarfg.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLARFG( N, ALPHA, X, INCX, TAU )
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX, N
* DOUBLE PRECISION ALPHA, TAU
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION X( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -94,22 +94,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleOTHERauxiliary
*
* =====================================================================
SUBROUTINE DLARFG( N, ALPHA, X, INCX, TAU )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX, N
diff --git a/lib/linalg/dlarft.f b/lib/linalg/dlarft.f
index bc1b53b2ce..e69a6b792e 100644
--- a/lib/linalg/dlarft.f
+++ b/lib/linalg/dlarft.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLARFT + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarft.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarft.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarft.f">
+*> Download DLARFT + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarft.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarft.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarft.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT )
-*
+*
* .. Scalar Arguments ..
* CHARACTER DIRECT, STOREV
* INTEGER K, LDT, LDV, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION T( LDT, * ), TAU( * ), V( LDV, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -125,12 +125,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleOTHERauxiliary
*
@@ -163,10 +163,10 @@
* =====================================================================
SUBROUTINE DLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER DIRECT, STOREV
@@ -221,13 +221,13 @@
END DO
DO J = 1, I-1
T( J, I ) = -TAU( I ) * V( I , J )
- END DO
+ END DO
J = MIN( LASTV, PREVLASTV )
*
* T(1:i-1,i) := - tau(i) * V(i:j,1:i-1)**T * V(i:j,i)
*
- CALL DGEMV( 'Transpose', J-I, I-1, -TAU( I ),
- $ V( I+1, 1 ), LDV, V( I+1, I ), 1, ONE,
+ CALL DGEMV( 'Transpose', J-I, I-1, -TAU( I ),
+ $ V( I+1, 1 ), LDV, V( I+1, I ), 1, ONE,
$ T( 1, I ), 1 )
ELSE
* Skip any trailing zeros.
@@ -236,7 +236,7 @@
END DO
DO J = 1, I-1
T( J, I ) = -TAU( I ) * V( J , I )
- END DO
+ END DO
J = MIN( LASTV, PREVLASTV )
*
* T(1:i-1,i) := - tau(i) * V(1:i-1,i:j) * V(i,i:j)**T
@@ -280,7 +280,7 @@
END DO
DO J = I+1, K
T( J, I ) = -TAU( I ) * V( N-K+I , J )
- END DO
+ END DO
J = MAX( LASTV, PREVLASTV )
*
* T(i+1:k,i) = -tau(i) * V(j:n-k+i,i+1:k)**T * V(j:n-k+i,i)
@@ -295,7 +295,7 @@
END DO
DO J = I+1, K
T( J, I ) = -TAU( I ) * V( J, N-K+I )
- END DO
+ END DO
J = MAX( LASTV, PREVLASTV )
*
* T(i+1:k,i) = -tau(i) * V(i+1:k,j:n-k+i) * V(i,j:n-k+i)**T
diff --git a/lib/linalg/dlartg.f b/lib/linalg/dlartg.f
index bf74c4365c..1c7c46f638 100644
--- a/lib/linalg/dlartg.f
+++ b/lib/linalg/dlartg.f
@@ -2,28 +2,28 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLARTG + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlartg.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlartg.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlartg.f">
+*> Download DLARTG + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlartg.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlartg.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlartg.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLARTG( F, G, CS, SN, R )
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION CS, F, G, R, SN
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -85,22 +85,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
* =====================================================================
SUBROUTINE DLARTG( F, G, CS, SN, R )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION CS, F, G, R, SN
diff --git a/lib/linalg/dlas2.f b/lib/linalg/dlas2.f
index 81077f940d..83873bc612 100644
--- a/lib/linalg/dlas2.f
+++ b/lib/linalg/dlas2.f
@@ -2,28 +2,28 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLAS2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlas2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlas2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlas2.f">
+*> Download DLAS2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlas2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlas2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlas2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLAS2( F, G, H, SSMIN, SSMAX )
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION F, G, H, SSMAX, SSMIN
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -73,14 +73,14 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
*> \par Further Details:
* =====================
@@ -107,10 +107,10 @@
* =====================================================================
SUBROUTINE DLAS2( F, G, H, SSMIN, SSMAX )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION F, G, H, SSMAX, SSMIN
diff --git a/lib/linalg/dlascl.f b/lib/linalg/dlascl.f
index 9b9b33c0c1..03e1000a87 100644
--- a/lib/linalg/dlascl.f
+++ b/lib/linalg/dlascl.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLASCL + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlascl.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlascl.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlascl.f">
+*> Download DLASCL + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlascl.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlascl.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlascl.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLASCL( TYPE, KL, KU, CFROM, CTO, M, N, A, LDA, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER TYPE
* INTEGER INFO, KL, KU, LDA, M, N
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -114,7 +114,11 @@
*> \param[in] LDA
*> \verbatim
*> LDA is INTEGER
-*> The leading dimension of the array A. LDA >= max(1,M).
+*> The leading dimension of the array A.
+*> If TYPE = 'G', 'L', 'U', 'H', LDA >= max(1,M);
+*> TYPE = 'B', LDA >= KL+1;
+*> TYPE = 'Q', LDA >= KU+1;
+*> TYPE = 'Z', LDA >= 2*KL+KU+1.
*> \endverbatim
*>
*> \param[out] INFO
@@ -127,22 +131,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2016
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
* =====================================================================
SUBROUTINE DLASCL( TYPE, KL, KU, CFROM, CTO, M, N, A, LDA, INFO )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2016
*
* .. Scalar Arguments ..
CHARACTER TYPE
diff --git a/lib/linalg/dlaset.f b/lib/linalg/dlaset.f
index 1ce34662ab..3a0c469a3c 100644
--- a/lib/linalg/dlaset.f
+++ b/lib/linalg/dlaset.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLASET + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaset.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaset.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaset.f">
+*> Download DLASET + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaset.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaset.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaset.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLASET( UPLO, M, N, ALPHA, BETA, A, LDA )
-*
+*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER LDA, M, N
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -77,7 +77,7 @@
*> The constant to which the diagonal elements are to be set.
*> \endverbatim
*>
-*> \param[in,out] A
+*> \param[out] A
*> \verbatim
*> A is DOUBLE PRECISION array, dimension (LDA,N)
*> On exit, the leading m-by-n submatrix of A is set as follows:
@@ -98,22 +98,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
* =====================================================================
SUBROUTINE DLASET( UPLO, M, N, ALPHA, BETA, A, LDA )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
diff --git a/lib/linalg/dlasq1.f b/lib/linalg/dlasq1.f
index d12fb7a5fd..468676eebd 100644
--- a/lib/linalg/dlasq1.f
+++ b/lib/linalg/dlasq1.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLASQ1 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlasq1.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlasq1.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlasq1.f">
+*> Download DLASQ1 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlasq1.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlasq1.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlasq1.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLASQ1( N, D, E, WORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION D( * ), E( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -89,29 +89,29 @@
*> represent a matrix with the same singular values
*> which the calling subroutine could use to finish the
*> computation, or even feed back into DLASQ1
-*> = 3, termination criterion of outer while loop not met
+*> = 3, termination criterion of outer while loop not met
*> (program created more than N unreduced blocks)
*> \endverbatim
*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup auxOTHERcomputational
*
* =====================================================================
SUBROUTINE DLASQ1( N, D, E, WORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, N
@@ -144,7 +144,7 @@
*
INFO = 0
IF( N.LT.0 ) THEN
- INFO = -2
+ INFO = -1
CALL XERBLA( 'DLASQ1', -INFO )
RETURN
ELSE IF( N.EQ.0 ) THEN
@@ -189,7 +189,7 @@
CALL DCOPY( N-1, E, 1, WORK( 2 ), 2 )
CALL DLASCL( 'G', 0, 0, SIGMX, SCALE, 2*N-1, 1, WORK, 2*N-1,
$ IINFO )
-*
+*
* Compute the q's and e's.
*
DO 30 I = 1, 2*N - 1
diff --git a/lib/linalg/dlasq2.f b/lib/linalg/dlasq2.f
index df1690d020..68d9228704 100644
--- a/lib/linalg/dlasq2.f
+++ b/lib/linalg/dlasq2.f
@@ -2,38 +2,38 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLASQ2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlasq2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlasq2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlasq2.f">
+*> Download DLASQ2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlasq2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlasq2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlasq2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLASQ2( N, Z, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION Z( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
-*> DLASQ2 computes all the eigenvalues of the symmetric positive
+*> DLASQ2 computes all the eigenvalues of the symmetric positive
*> definite tridiagonal matrix associated with the qd array Z to high
*> relative accuracy are computed to high relative accuracy, in the
*> absence of denormalization, underflow and overflow.
@@ -83,19 +83,19 @@
*> = 2, current block of Z not diagonalized after 100*N
*> iterations (in inner while loop). On exit Z holds
*> a qd array with the same eigenvalues as the given Z.
-*> = 3, termination criterion of outer while loop not met
+*> = 3, termination criterion of outer while loop not met
*> (program created more than N unreduced blocks)
*> \endverbatim
*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup auxOTHERcomputational
*
@@ -112,10 +112,10 @@
* =====================================================================
SUBROUTINE DLASQ2( N, Z, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, N
@@ -136,7 +136,7 @@
* .. Local Scalars ..
LOGICAL IEEE
INTEGER I0, I1, I4, IINFO, IPN4, ITER, IWHILA, IWHILB,
- $ K, KMIN, N0, N1, NBIG, NDIV, NFAIL, PP, SPLT,
+ $ K, KMIN, N0, N1, NBIG, NDIV, NFAIL, PP, SPLT,
$ TTYPE
DOUBLE PRECISION D, DEE, DEEMIN, DESIG, DMIN, DMIN1, DMIN2, DN,
$ DN1, DN2, E, EMAX, EMIN, EPS, G, OLDEMN, QMAX,
@@ -155,7 +155,7 @@
INTRINSIC ABS, DBLE, MAX, MIN, SQRT
* ..
* .. Executable Statements ..
-*
+*
* Test the input arguments.
* (in case DLASQ2 is not called by DLASQ1)
*
@@ -195,7 +195,7 @@
END IF
Z( 5 ) = Z( 1 ) + Z( 2 ) + Z( 3 )
IF( Z( 2 ).GT.Z( 3 )*TOL2 ) THEN
- T = HALF*( ( Z( 1 )-Z( 3 ) )+Z( 2 ) )
+ T = HALF*( ( Z( 1 )-Z( 3 ) )+Z( 2 ) )
S = Z( 3 )*( Z( 2 ) / T )
IF( S.LE.T ) THEN
S = Z( 3 )*( Z( 2 ) / ( T*( ONE+SQRT( ONE+S / T ) ) ) )
@@ -264,19 +264,19 @@
Z( 2*N-1 ) = ZERO
RETURN
END IF
-*
+*
* Check whether the machine is IEEE conformable.
-*
+*
IEEE = ILAENV( 10, 'DLASQ2', 'N', 1, 2, 3, 4 ).EQ.1 .AND.
- $ ILAENV( 11, 'DLASQ2', 'N', 1, 2, 3, 4 ).EQ.1
-*
+ $ ILAENV( 11, 'DLASQ2', 'N', 1, 2, 3, 4 ).EQ.1
+*
* Rearrange data for locality: Z=(q1,qq1,e1,ee1,q2,qq2,e2,ee2,...).
*
DO 30 K = 2*N, 2, -2
- Z( 2*K ) = ZERO
- Z( 2*K-1 ) = Z( K )
- Z( 2*K-2 ) = ZERO
- Z( 2*K-3 ) = Z( K-1 )
+ Z( 2*K ) = ZERO
+ Z( 2*K-1 ) = Z( K )
+ Z( 2*K-2 ) = ZERO
+ Z( 2*K-3 ) = Z( K-1 )
30 CONTINUE
*
I0 = 1
@@ -333,7 +333,7 @@
D = Z( I4+1 )*( D / Z( I4-2*PP-2 ) )
END IF
EMIN = MIN( EMIN, Z( I4-2*PP ) )
- 60 CONTINUE
+ 60 CONTINUE
Z( 4*N0-PP-2 ) = D
*
* Now find qmax.
@@ -364,14 +364,14 @@
NDIV = 2*( N0-I0 )
*
DO 160 IWHILA = 1, N + 1
- IF( N0.LT.1 )
+ IF( N0.LT.1 )
$ GO TO 170
*
-* While array unfinished do
+* While array unfinished do
*
* E(N0) holds the value of SIGMA when submatrix in I0:N0
* splits from the rest of the array, but is negated.
-*
+*
DESIG = ZERO
IF( N0.EQ.N ) THEN
SIGMA = ZERO
@@ -386,7 +386,7 @@
* Find last unreduced submatrix's top index I0, find QMAX and
* EMIN. Find Gershgorin-type bound if Q's much greater than E's.
*
- EMAX = ZERO
+ EMAX = ZERO
IF( N0.GT.I0 ) THEN
EMIN = ABS( Z( 4*N0-5 ) )
ELSE
@@ -404,7 +404,7 @@
QMAX = MAX( QMAX, Z( I4-7 )+Z( I4-5 ) )
EMIN = MIN( EMIN, Z( I4-5 ) )
90 CONTINUE
- I4 = 4
+ I4 = 4
*
100 CONTINUE
I0 = I4 / 4
@@ -421,7 +421,7 @@
KMIN = ( I4+3 )/4
END IF
110 CONTINUE
- IF( (KMIN-I0)*2.LT.N0-KMIN .AND.
+ IF( (KMIN-I0)*2.LT.N0-KMIN .AND.
$ DEEMIN.LE.HALF*Z(4*N0-3) ) THEN
IPN4 = 4*( I0+N0 )
PP = 2
@@ -446,15 +446,15 @@
*
DMIN = -MAX( ZERO, QMIN-TWO*SQRT( QMIN )*SQRT( EMAX ) )
*
-* Now I0:N0 is unreduced.
+* Now I0:N0 is unreduced.
* PP = 0 for ping, PP = 1 for pong.
* PP = 2 indicates that flipping was applied to the Z array and
-* and that the tests for deflation upon entry in DLASQ3
+* and that the tests for deflation upon entry in DLASQ3
* should not be performed.
*
NBIG = 100*( N0-I0+1 )
DO 140 IWHILB = 1, NBIG
- IF( I0.GT.N0 )
+ IF( I0.GT.N0 )
$ GO TO 150
*
* While submatrix unfinished take a good dqds step.
@@ -497,8 +497,8 @@
140 CONTINUE
*
INFO = 2
-*
-* Maximum number of iterations exceeded, restore the shift
+*
+* Maximum number of iterations exceeded, restore the shift
* SIGMA and place the new d's and e's in a qd array.
* This might need to be done for several blocks
*
@@ -549,16 +549,16 @@
INFO = 3
RETURN
*
-* end IWHILA
+* end IWHILA
*
170 CONTINUE
-*
+*
* Move q's to the front.
-*
+*
DO 180 K = 2, N
Z( K ) = Z( 4*K-3 )
180 CONTINUE
-*
+*
* Sort and compute sum of eigenvalues.
*
CALL DLASRT( 'D', N, Z, IINFO )
@@ -570,7 +570,7 @@
*
* Store trace, sum(eigenvalues) and information on performance.
*
- Z( 2*N+1 ) = TRACE
+ Z( 2*N+1 ) = TRACE
Z( 2*N+2 ) = E
Z( 2*N+3 ) = DBLE( ITER )
Z( 2*N+4 ) = DBLE( NDIV ) / DBLE( N**2 )
diff --git a/lib/linalg/dlasq3.f b/lib/linalg/dlasq3.f
index d49d1c5939..c095bdbbb5 100644
--- a/lib/linalg/dlasq3.f
+++ b/lib/linalg/dlasq3.f
@@ -2,18 +2,18 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLASQ3 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlasq3.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlasq3.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlasq3.f">
+*> Download DLASQ3 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlasq3.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlasq3.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlasq3.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
@@ -21,7 +21,7 @@
* SUBROUTINE DLASQ3( I0, N0, Z, PP, DMIN, SIGMA, DESIG, QMAX, NFAIL,
* ITER, NDIV, IEEE, TTYPE, DMIN1, DMIN2, DN, DN1,
* DN2, G, TAU )
-*
+*
* .. Scalar Arguments ..
* LOGICAL IEEE
* INTEGER I0, ITER, N0, NDIV, NFAIL, PP
@@ -31,7 +31,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION Z( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -58,9 +58,9 @@
*> Last index.
*> \endverbatim
*>
-*> \param[in] Z
+*> \param[in,out] Z
*> \verbatim
-*> Z is DOUBLE PRECISION array, dimension ( 4*N )
+*> Z is DOUBLE PRECISION array, dimension ( 4*N0 )
*> Z holds the qd array.
*> \endverbatim
*>
@@ -68,8 +68,8 @@
*> \verbatim
*> PP is INTEGER
*> PP=0 for ping, PP=1 for pong.
-*> PP=2 indicates that flipping was applied to the Z array
-*> and that the initial tests for deflation should not be
+*> PP=2 indicates that flipping was applied to the Z array
+*> and that the initial tests for deflation should not be
*> performed.
*> \endverbatim
*>
@@ -97,22 +97,22 @@
*> Maximum value of q.
*> \endverbatim
*>
-*> \param[out] NFAIL
+*> \param[in,out] NFAIL
*> \verbatim
*> NFAIL is INTEGER
-*> Number of times shift was too big.
+*> Increment NFAIL by 1 each time the shift was too big.
*> \endverbatim
*>
-*> \param[out] ITER
+*> \param[in,out] ITER
*> \verbatim
*> ITER is INTEGER
-*> Number of iterations.
+*> Increment ITER by 1 for each iteration.
*> \endverbatim
*>
-*> \param[out] NDIV
+*> \param[in,out] NDIV
*> \verbatim
*> NDIV is INTEGER
-*> Number of divisions.
+*> Increment NDIV by 1 for each division.
*> \endverbatim
*>
*> \param[in] IEEE
@@ -168,12 +168,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2016
*
*> \ingroup auxOTHERcomputational
*
@@ -182,10 +182,10 @@
$ ITER, NDIV, IEEE, TTYPE, DMIN1, DMIN2, DN, DN1,
$ DN2, G, TAU )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2016
*
* .. Scalar Arguments ..
LOGICAL IEEE
@@ -286,7 +286,7 @@
GO TO 10
*
50 CONTINUE
- IF( PP.EQ.2 )
+ IF( PP.EQ.2 )
$ PP = 0
*
* Reverse the qd-array, if warranted.
@@ -345,7 +345,7 @@
*
GO TO 90
*
- ELSE IF( DMIN.LT.ZERO .AND. DMIN1.GT.ZERO .AND.
+ ELSE IF( DMIN.LT.ZERO .AND. DMIN1.GT.ZERO .AND.
$ Z( 4*( N0-1 )-PP ).LT.TOL*( SIGMA+DN1 ) .AND.
$ ABS( DN ).LT.TOL*SIGMA ) THEN
*
@@ -389,7 +389,7 @@
GO TO 70
END IF
ELSE
-*
+*
* Possible underflow. Play it safe.
*
GO TO 80
diff --git a/lib/linalg/dlasq4.f b/lib/linalg/dlasq4.f
index 97d9bdeba3..d4ddbbc7b2 100644
--- a/lib/linalg/dlasq4.f
+++ b/lib/linalg/dlasq4.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLASQ4 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlasq4.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlasq4.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlasq4.f">
+*> Download DLASQ4 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlasq4.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlasq4.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlasq4.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLASQ4( I0, N0, Z, PP, N0IN, DMIN, DMIN1, DMIN2, DN,
* DN1, DN2, TAU, TTYPE, G )
-*
+*
* .. Scalar Arguments ..
* INTEGER I0, N0, N0IN, PP, TTYPE
* DOUBLE PRECISION DMIN, DMIN1, DMIN2, DN, DN1, DN2, G, TAU
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION Z( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -56,7 +56,7 @@
*>
*> \param[in] Z
*> \verbatim
-*> Z is DOUBLE PRECISION array, dimension ( 4*N )
+*> Z is DOUBLE PRECISION array, dimension ( 4*N0 )
*> Z holds the qd array.
*> \endverbatim
*>
@@ -122,7 +122,7 @@
*>
*> \param[in,out] G
*> \verbatim
-*> G is REAL
+*> G is DOUBLE PRECISION
*> G is passed as an argument in order to save its value between
*> calls to DLASQ4.
*> \endverbatim
@@ -130,12 +130,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2016
*
*> \ingroup auxOTHERcomputational
*
@@ -151,10 +151,10 @@
SUBROUTINE DLASQ4( I0, N0, Z, PP, N0IN, DMIN, DMIN1, DMIN2, DN,
$ DN1, DN2, TAU, TTYPE, G )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.1) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2016
*
* .. Scalar Arguments ..
INTEGER I0, N0, N0IN, PP, TTYPE
@@ -192,7 +192,7 @@
TTYPE = -1
RETURN
END IF
-*
+*
NN = 4*N0 + PP
IF( N0IN.EQ.N0 ) THEN
*
@@ -240,7 +240,6 @@
NP = NN - 9
ELSE
NP = NN - 2*PP
- B2 = Z( NP-2 )
GAM = DN1
IF( Z( NP-4 ) .GT. Z( NP-2 ) )
$ RETURN
@@ -262,7 +261,7 @@
$ RETURN
B2 = B2*( Z( I4 ) / Z( I4-2 ) )
A2 = A2 + B2
- IF( HUNDRD*MAX( B2, B1 ).LT.A2 .OR. CNST1.LT.A2 )
+ IF( HUNDRD*MAX( B2, B1 ).LT.A2 .OR. CNST1.LT.A2 )
$ GO TO 20
10 CONTINUE
20 CONTINUE
@@ -303,7 +302,7 @@
$ RETURN
B2 = B2*( Z( I4 ) / Z( I4-2 ) )
A2 = A2 + B2
- IF( HUNDRD*MAX( B2, B1 ).LT.A2 .OR. CNST1.LT.A2 )
+ IF( HUNDRD*MAX( B2, B1 ).LT.A2 .OR. CNST1.LT.A2 )
$ GO TO 40
30 CONTINUE
40 CONTINUE
@@ -331,7 +330,7 @@
*
* One eigenvalue just deflated. Use DMIN1, DN1 for DMIN and DN.
*
- IF( DMIN1.EQ.DN1 .AND. DMIN2.EQ.DN2 ) THEN
+ IF( DMIN1.EQ.DN1 .AND. DMIN2.EQ.DN2 ) THEN
*
* Cases 7 and 8.
*
@@ -349,7 +348,7 @@
$ RETURN
B1 = B1*( Z( I4 ) / Z( I4-2 ) )
B2 = B2 + B1
- IF( HUNDRD*MAX( B1, A2 ).LT.B2 )
+ IF( HUNDRD*MAX( B1, A2 ).LT.B2 )
$ GO TO 60
50 CONTINUE
60 CONTINUE
@@ -358,7 +357,7 @@
GAP2 = HALF*DMIN2 - A2
IF( GAP2.GT.ZERO .AND. GAP2.GT.B2*A2 ) THEN
S = MAX( S, A2*( ONE-CNST2*A2*( B2 / GAP2 )*B2 ) )
- ELSE
+ ELSE
S = MAX( S, A2*( ONE-CNST2*B2 ) )
TTYPE = -8
END IF
@@ -378,7 +377,7 @@
*
* Cases 10 and 11.
*
- IF( DMIN2.EQ.DN2 .AND. TWO*Z( NN-5 ).LT.Z( NN-7 ) ) THEN
+ IF( DMIN2.EQ.DN2 .AND. TWO*Z( NN-5 ).LT.Z( NN-7 ) ) THEN
TTYPE = -10
S = THIRD*DMIN2
IF( Z( NN-5 ).GT.Z( NN-7 ) )
@@ -402,7 +401,7 @@
$ SQRT( Z( NN-11 ) )*SQRT( Z( NN-9 ) ) - A2
IF( GAP2.GT.ZERO .AND. GAP2.GT.B2*A2 ) THEN
S = MAX( S, A2*( ONE-CNST2*A2*( B2 / GAP2 )*B2 ) )
- ELSE
+ ELSE
S = MAX( S, A2*( ONE-CNST2*B2 ) )
END IF
ELSE
@@ -413,7 +412,7 @@
*
* Case 12, more than two eigenvalues deflated. No information.
*
- S = ZERO
+ S = ZERO
TTYPE = -12
END IF
*
diff --git a/lib/linalg/dlasq5.f b/lib/linalg/dlasq5.f
index cdd8cf1ae3..3812c879fa 100644
--- a/lib/linalg/dlasq5.f
+++ b/lib/linalg/dlasq5.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLASQ5 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlasq5.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlasq5.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlasq5.f">
+*> Download DLASQ5 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlasq5.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlasq5.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlasq5.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLASQ5( I0, N0, Z, PP, TAU, SIGMA, DMIN, DMIN1, DMIN2, DN,
* DNM1, DNM2, IEEE, EPS )
-*
+*
* .. Scalar Arguments ..
* LOGICAL IEEE
* INTEGER I0, N0, PP
@@ -29,7 +29,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION Z( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -121,7 +121,7 @@
*> IEEE is LOGICAL
*> Flag for IEEE or non IEEE arithmetic.
*> \endverbatim
-*
+*>
*> \param[in] EPS
*> \verbatim
*> EPS is DOUBLE PRECISION
@@ -131,12 +131,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2017
*
*> \ingroup auxOTHERcomputational
*
@@ -144,10 +144,10 @@
SUBROUTINE DLASQ5( I0, N0, Z, PP, TAU, SIGMA, DMIN, DMIN1, DMIN2,
$ DN, DNM1, DNM2, IEEE, EPS )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.1) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2017
*
* .. Scalar Arguments ..
LOGICAL IEEE
@@ -181,7 +181,7 @@
IF( TAU.LT.DTHRESH*HALF ) TAU = ZERO
IF( TAU.NE.ZERO ) THEN
J4 = 4*I0 + PP - 3
- EMIN = Z( J4+4 )
+ EMIN = Z( J4+4 )
D = Z( J4 ) - TAU
DMIN = D
DMIN1 = -Z( J4 )
@@ -192,7 +192,7 @@
*
IF( PP.EQ.0 ) THEN
DO 10 J4 = 4*I0, 4*( N0-3 ), 4
- Z( J4-2 ) = D + Z( J4-1 )
+ Z( J4-2 ) = D + Z( J4-1 )
TEMP = Z( J4+1 ) / Z( J4-2 )
D = D*TEMP - TAU
DMIN = MIN( DMIN, D )
@@ -201,7 +201,7 @@
10 CONTINUE
ELSE
DO 20 J4 = 4*I0, 4*( N0-3 ), 4
- Z( J4-3 ) = D + Z( J4 )
+ Z( J4-3 ) = D + Z( J4 )
TEMP = Z( J4+2 ) / Z( J4-3 )
D = D*TEMP - TAU
DMIN = MIN( DMIN, D )
@@ -210,7 +210,7 @@
20 CONTINUE
END IF
*
-* Unroll last two steps.
+* Unroll last two steps.
*
DNM2 = D
DMIN2 = DMIN
@@ -235,10 +235,10 @@
*
IF( PP.EQ.0 ) THEN
DO 30 J4 = 4*I0, 4*( N0-3 ), 4
- Z( J4-2 ) = D + Z( J4-1 )
+ Z( J4-2 ) = D + Z( J4-1 )
IF( D.LT.ZERO ) THEN
RETURN
- ELSE
+ ELSE
Z( J4 ) = Z( J4+1 )*( Z( J4-1 ) / Z( J4-2 ) )
D = Z( J4+1 )*( D / Z( J4-2 ) ) - TAU
END IF
@@ -247,10 +247,10 @@
30 CONTINUE
ELSE
DO 40 J4 = 4*I0, 4*( N0-3 ), 4
- Z( J4-3 ) = D + Z( J4 )
+ Z( J4-3 ) = D + Z( J4 )
IF( D.LT.ZERO ) THEN
RETURN
- ELSE
+ ELSE
Z( J4-1 ) = Z( J4+2 )*( Z( J4 ) / Z( J4-3 ) )
D = Z( J4+2 )*( D / Z( J4-3 ) ) - TAU
END IF
@@ -259,7 +259,7 @@
40 CONTINUE
END IF
*
-* Unroll last two steps.
+* Unroll last two steps.
*
DNM2 = D
DMIN2 = DMIN
@@ -290,17 +290,17 @@
ELSE
* This is the version that sets d's to zero if they are small enough
J4 = 4*I0 + PP - 3
- EMIN = Z( J4+4 )
+ EMIN = Z( J4+4 )
D = Z( J4 ) - TAU
DMIN = D
DMIN1 = -Z( J4 )
IF( IEEE ) THEN
-*
+*
* Code for IEEE arithmetic.
-*
+*
IF( PP.EQ.0 ) THEN
DO 50 J4 = 4*I0, 4*( N0-3 ), 4
- Z( J4-2 ) = D + Z( J4-1 )
+ Z( J4-2 ) = D + Z( J4-1 )
TEMP = Z( J4+1 ) / Z( J4-2 )
D = D*TEMP - TAU
IF( D.LT.DTHRESH ) D = ZERO
@@ -310,7 +310,7 @@
50 CONTINUE
ELSE
DO 60 J4 = 4*I0, 4*( N0-3 ), 4
- Z( J4-3 ) = D + Z( J4 )
+ Z( J4-3 ) = D + Z( J4 )
TEMP = Z( J4+2 ) / Z( J4-3 )
D = D*TEMP - TAU
IF( D.LT.DTHRESH ) D = ZERO
@@ -319,9 +319,9 @@
EMIN = MIN( Z( J4-1 ), EMIN )
60 CONTINUE
END IF
-*
-* Unroll last two steps.
-*
+*
+* Unroll last two steps.
+*
DNM2 = D
DMIN2 = DMIN
J4 = 4*( N0-2 ) - PP
@@ -330,7 +330,7 @@
Z( J4 ) = Z( J4P2+2 )*( Z( J4P2 ) / Z( J4-2 ) )
DNM1 = Z( J4P2+2 )*( DNM2 / Z( J4-2 ) ) - TAU
DMIN = MIN( DMIN, DNM1 )
-*
+*
DMIN1 = DMIN
J4 = J4 + 4
J4P2 = J4 + 2*PP - 1
@@ -338,17 +338,17 @@
Z( J4 ) = Z( J4P2+2 )*( Z( J4P2 ) / Z( J4-2 ) )
DN = Z( J4P2+2 )*( DNM1 / Z( J4-2 ) ) - TAU
DMIN = MIN( DMIN, DN )
-*
+*
ELSE
-*
+*
* Code for non IEEE arithmetic.
-*
+*
IF( PP.EQ.0 ) THEN
DO 70 J4 = 4*I0, 4*( N0-3 ), 4
- Z( J4-2 ) = D + Z( J4-1 )
+ Z( J4-2 ) = D + Z( J4-1 )
IF( D.LT.ZERO ) THEN
RETURN
- ELSE
+ ELSE
Z( J4 ) = Z( J4+1 )*( Z( J4-1 ) / Z( J4-2 ) )
D = Z( J4+1 )*( D / Z( J4-2 ) ) - TAU
END IF
@@ -358,10 +358,10 @@
70 CONTINUE
ELSE
DO 80 J4 = 4*I0, 4*( N0-3 ), 4
- Z( J4-3 ) = D + Z( J4 )
+ Z( J4-3 ) = D + Z( J4 )
IF( D.LT.ZERO ) THEN
RETURN
- ELSE
+ ELSE
Z( J4-1 ) = Z( J4+2 )*( Z( J4 ) / Z( J4-3 ) )
D = Z( J4+2 )*( D / Z( J4-3 ) ) - TAU
END IF
@@ -370,9 +370,9 @@
EMIN = MIN( EMIN, Z( J4-1 ) )
80 CONTINUE
END IF
-*
-* Unroll last two steps.
-*
+*
+* Unroll last two steps.
+*
DNM2 = D
DMIN2 = DMIN
J4 = 4*( N0-2 ) - PP
@@ -385,7 +385,7 @@
DNM1 = Z( J4P2+2 )*( DNM2 / Z( J4-2 ) ) - TAU
END IF
DMIN = MIN( DMIN, DNM1 )
-*
+*
DMIN1 = DMIN
J4 = J4 + 4
J4P2 = J4 + 2*PP - 1
@@ -397,10 +397,10 @@
DN = Z( J4P2+2 )*( DNM1 / Z( J4-2 ) ) - TAU
END IF
DMIN = MIN( DMIN, DN )
-*
+*
END IF
END IF
-*
+*
Z( J4+2 ) = DN
Z( 4*N0-PP ) = EMIN
RETURN
diff --git a/lib/linalg/dlasq6.f b/lib/linalg/dlasq6.f
index 3c8661bbba..d871386bdb 100644
--- a/lib/linalg/dlasq6.f
+++ b/lib/linalg/dlasq6.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLASQ6 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlasq6.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlasq6.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlasq6.f">
+*> Download DLASQ6 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlasq6.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlasq6.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlasq6.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLASQ6( I0, N0, Z, PP, DMIN, DMIN1, DMIN2, DN,
* DNM1, DNM2 )
-*
+*
* .. Scalar Arguments ..
* INTEGER I0, N0, PP
* DOUBLE PRECISION DMIN, DMIN1, DMIN2, DN, DNM1, DNM2
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION Z( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -106,12 +106,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup auxOTHERcomputational
*
@@ -119,10 +119,10 @@
SUBROUTINE DLASQ6( I0, N0, Z, PP, DMIN, DMIN1, DMIN2, DN,
$ DNM1, DNM2 )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER I0, N0, PP
@@ -156,13 +156,13 @@
*
SAFMIN = DLAMCH( 'Safe minimum' )
J4 = 4*I0 + PP - 3
- EMIN = Z( J4+4 )
+ EMIN = Z( J4+4 )
D = Z( J4 )
DMIN = D
*
IF( PP.EQ.0 ) THEN
DO 10 J4 = 4*I0, 4*( N0-3 ), 4
- Z( J4-2 ) = D + Z( J4-1 )
+ Z( J4-2 ) = D + Z( J4-1 )
IF( Z( J4-2 ).EQ.ZERO ) THEN
Z( J4 ) = ZERO
D = Z( J4+1 )
@@ -173,7 +173,7 @@
TEMP = Z( J4+1 ) / Z( J4-2 )
Z( J4 ) = Z( J4-1 )*TEMP
D = D*TEMP
- ELSE
+ ELSE
Z( J4 ) = Z( J4+1 )*( Z( J4-1 ) / Z( J4-2 ) )
D = Z( J4+1 )*( D / Z( J4-2 ) )
END IF
@@ -182,7 +182,7 @@
10 CONTINUE
ELSE
DO 20 J4 = 4*I0, 4*( N0-3 ), 4
- Z( J4-3 ) = D + Z( J4 )
+ Z( J4-3 ) = D + Z( J4 )
IF( Z( J4-3 ).EQ.ZERO ) THEN
Z( J4-1 ) = ZERO
D = Z( J4+2 )
@@ -193,7 +193,7 @@
TEMP = Z( J4+2 ) / Z( J4-3 )
Z( J4-1 ) = Z( J4 )*TEMP
D = D*TEMP
- ELSE
+ ELSE
Z( J4-1 ) = Z( J4+2 )*( Z( J4 ) / Z( J4-3 ) )
D = Z( J4+2 )*( D / Z( J4-3 ) )
END IF
@@ -202,7 +202,7 @@
20 CONTINUE
END IF
*
-* Unroll last two steps.
+* Unroll last two steps.
*
DNM2 = D
DMIN2 = DMIN
diff --git a/lib/linalg/dlasr.f b/lib/linalg/dlasr.f
index 645d03b3d8..6059c6293a 100644
--- a/lib/linalg/dlasr.f
+++ b/lib/linalg/dlasr.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLASR + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlasr.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlasr.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlasr.f">
+*> Download DLASR + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlasr.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlasr.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlasr.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLASR( SIDE, PIVOT, DIRECT, M, N, C, S, A, LDA )
-*
+*
* .. Scalar Arguments ..
* CHARACTER DIRECT, PIVOT, SIDE
* INTEGER LDA, M, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), C( * ), S( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -36,35 +36,35 @@
*>
*> DLASR applies a sequence of plane rotations to a real matrix A,
*> from either the left or the right.
-*>
+*>
*> When SIDE = 'L', the transformation takes the form
-*>
+*>
*> A := P*A
-*>
+*>
*> and when SIDE = 'R', the transformation takes the form
-*>
+*>
*> A := A*P**T
-*>
+*>
*> where P is an orthogonal matrix consisting of a sequence of z plane
*> rotations, with z = M when SIDE = 'L' and z = N when SIDE = 'R',
*> and P**T is the transpose of P.
-*>
+*>
*> When DIRECT = 'F' (Forward sequence), then
-*>
+*>
*> P = P(z-1) * ... * P(2) * P(1)
-*>
+*>
*> and when DIRECT = 'B' (Backward sequence), then
-*>
+*>
*> P = P(1) * P(2) * ... * P(z-1)
-*>
+*>
*> where P(k) is a plane rotation matrix defined by the 2-by-2 rotation
-*>
+*>
*> R(k) = ( c(k) s(k) )
*> = ( -s(k) c(k) ).
-*>
+*>
*> When PIVOT = 'V' (Variable pivot), the rotation is performed
*> for the plane (k,k+1), i.e., P(k) has the form
-*>
+*>
*> P(k) = ( 1 )
*> ( ... )
*> ( 1 )
@@ -73,13 +73,13 @@
*> ( 1 )
*> ( ... )
*> ( 1 )
-*>
+*>
*> where R(k) appears as a rank-2 modification to the identity matrix in
*> rows and columns k and k+1.
-*>
+*>
*> When PIVOT = 'T' (Top pivot), the rotation is performed for the
*> plane (1,k+1), so P(k) has the form
-*>
+*>
*> P(k) = ( c(k) s(k) )
*> ( 1 )
*> ( ... )
@@ -88,12 +88,12 @@
*> ( 1 )
*> ( ... )
*> ( 1 )
-*>
+*>
*> where R(k) appears in rows and columns 1 and k+1.
-*>
+*>
*> Similarly, when PIVOT = 'B' (Bottom pivot), the rotation is
*> performed for the plane (k,z), giving P(k) the form
-*>
+*>
*> P(k) = ( 1 )
*> ( ... )
*> ( 1 )
@@ -102,7 +102,7 @@
*> ( ... )
*> ( 1 )
*> ( -s(k) c(k) )
-*>
+*>
*> where R(k) appears in rows and columns k and z. The rotations are
*> performed without ever forming P(k) explicitly.
*> \endverbatim
@@ -187,22 +187,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
* =====================================================================
SUBROUTINE DLASR( SIDE, PIVOT, DIRECT, M, N, C, S, A, LDA )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER DIRECT, PIVOT, SIDE
diff --git a/lib/linalg/dlasrt.f b/lib/linalg/dlasrt.f
index f5d0e6cd1a..4705311d78 100644
--- a/lib/linalg/dlasrt.f
+++ b/lib/linalg/dlasrt.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLASRT + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlasrt.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlasrt.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlasrt.f">
+*> Download DLASRT + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlasrt.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlasrt.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlasrt.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLASRT( ID, N, D, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER ID
* INTEGER INFO, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION D( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -76,22 +76,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2016
*
*> \ingroup auxOTHERcomputational
*
* =====================================================================
SUBROUTINE DLASRT( ID, N, D, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2016
*
* .. Scalar Arguments ..
CHARACTER ID
@@ -123,7 +123,7 @@
* ..
* .. Executable Statements ..
*
-* Test the input paramters.
+* Test the input parameters.
*
INFO = 0
DIR = -1
diff --git a/lib/linalg/dlassq.f b/lib/linalg/dlassq.f
index c7c4087e80..885395e3c9 100644
--- a/lib/linalg/dlassq.f
+++ b/lib/linalg/dlassq.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLASSQ + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlassq.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlassq.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlassq.f">
+*> Download DLASSQ + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlassq.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlassq.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlassq.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLASSQ( N, X, INCX, SCALE, SUMSQ )
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX, N
* DOUBLE PRECISION SCALE, SUMSQ
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION X( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -91,22 +91,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
* =====================================================================
SUBROUTINE DLASSQ( N, X, INCX, SCALE, SUMSQ )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX, N
diff --git a/lib/linalg/dlasv2.f b/lib/linalg/dlasv2.f
index 96aaa1e45c..9371d6d3b2 100644
--- a/lib/linalg/dlasv2.f
+++ b/lib/linalg/dlasv2.f
@@ -2,28 +2,28 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLASV2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlasv2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlasv2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlasv2.f">
+*> Download DLASV2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlasv2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlasv2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlasv2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLASV2( F, G, H, SSMIN, SSMAX, SNR, CSR, SNL, CSL )
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION CSL, CSR, F, G, H, SNL, SNR, SSMAX, SSMIN
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -102,14 +102,14 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
*> \par Further Details:
* =====================
@@ -138,10 +138,10 @@
* =====================================================================
SUBROUTINE DLASV2( F, G, H, SSMIN, SSMAX, SNR, CSR, SNL, CSL )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION CSL, CSR, F, G, H, SNL, SNR, SSMAX, SSMIN
diff --git a/lib/linalg/dlaswp.f b/lib/linalg/dlaswp.f
index 937e12b2f0..202fd8df1b 100644
--- a/lib/linalg/dlaswp.f
+++ b/lib/linalg/dlaswp.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLASWP + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaswp.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaswp.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaswp.f">
+*> Download DLASWP + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaswp.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaswp.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaswp.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLASWP( N, A, LDA, K1, K2, IPIV, INCX )
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX, K1, K2, LDA, N
* ..
@@ -27,7 +27,7 @@
* INTEGER IPIV( * )
* DOUBLE PRECISION A( LDA, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -71,34 +71,35 @@
*> \param[in] K2
*> \verbatim
*> K2 is INTEGER
-*> The last element of IPIV for which a row interchange will
-*> be done.
+*> (K2-K1+1) is the number of elements of IPIV for which a row
+*> interchange will be done.
*> \endverbatim
*>
*> \param[in] IPIV
*> \verbatim
-*> IPIV is INTEGER array, dimension (K2*abs(INCX))
-*> The vector of pivot indices. Only the elements in positions
-*> K1 through K2 of IPIV are accessed.
-*> IPIV(K) = L implies rows K and L are to be interchanged.
+*> IPIV is INTEGER array, dimension (K1+(K2-K1)*abs(INCX))
+*> The vector of pivot indices. Only the elements in positions
+*> K1 through K1+(K2-K1)*abs(INCX) of IPIV are accessed.
+*> IPIV(K1+(K-K1)*abs(INCX)) = L implies rows K and L are to be
+*> interchanged.
*> \endverbatim
*>
*> \param[in] INCX
*> \verbatim
*> INCX is INTEGER
-*> The increment between successive values of IPIV. If IPIV
+*> The increment between successive values of IPIV. If INCX
*> is negative, the pivots are applied in reverse order.
*> \endverbatim
*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2017
*
*> \ingroup doubleOTHERauxiliary
*
@@ -114,10 +115,10 @@
* =====================================================================
SUBROUTINE DLASWP( N, A, LDA, K1, K2, IPIV, INCX )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.1) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2017
*
* .. Scalar Arguments ..
INTEGER INCX, K1, K2, LDA, N
@@ -135,7 +136,8 @@
* ..
* .. Executable Statements ..
*
-* Interchange row I with row IPIV(I) for each of rows K1 through K2.
+* Interchange row I with row IPIV(K1+(I-K1)*abs(INCX)) for each of rows
+* K1 through K2.
*
IF( INCX.GT.0 ) THEN
IX0 = K1
@@ -143,7 +145,7 @@
I2 = K2
INC = 1
ELSE IF( INCX.LT.0 ) THEN
- IX0 = 1 + ( 1-K2 )*INCX
+ IX0 = K1 + ( K1-K2 )*INCX
I1 = K2
I2 = K1
INC = -1
diff --git a/lib/linalg/dlatrd.f b/lib/linalg/dlatrd.f
index 69ec0018be..a1df43e48a 100644
--- a/lib/linalg/dlatrd.f
+++ b/lib/linalg/dlatrd.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLATRD + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlatrd.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlatrd.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlatrd.f">
+*> Download DLATRD + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlatrd.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlatrd.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlatrd.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLATRD( UPLO, N, NB, A, LDA, E, TAU, W, LDW )
-*
+*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER LDA, LDW, N, NB
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), E( * ), TAU( * ), W( LDW, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -134,12 +134,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleOTHERauxiliary
*
@@ -198,10 +198,10 @@
* =====================================================================
SUBROUTINE DLATRD( UPLO, N, NB, A, LDA, E, TAU, W, LDW )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
diff --git a/lib/linalg/dlatrs.f b/lib/linalg/dlatrs.f
index b34795eb15..5ad5f66c55 100644
--- a/lib/linalg/dlatrs.f
+++ b/lib/linalg/dlatrs.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLATRS + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlatrs.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlatrs.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlatrs.f">
+*> Download DLATRS + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlatrs.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlatrs.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlatrs.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DLATRS( UPLO, TRANS, DIAG, NORMIN, N, A, LDA, X, SCALE,
* CNORM, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER DIAG, NORMIN, TRANS, UPLO
* INTEGER INFO, LDA, N
@@ -29,7 +29,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), CNORM( * ), X( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -153,12 +153,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleOTHERauxiliary
*
@@ -238,10 +238,10 @@
SUBROUTINE DLATRS( UPLO, TRANS, DIAG, NORMIN, N, A, LDA, X, SCALE,
$ CNORM, INFO )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER DIAG, NORMIN, TRANS, UPLO
diff --git a/lib/linalg/dnrm2.f b/lib/linalg/dnrm2.f
index 5ea257a200..30552e1d1d 100644
--- a/lib/linalg/dnrm2.f
+++ b/lib/linalg/dnrm2.f
@@ -2,21 +2,21 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* DOUBLE PRECISION FUNCTION DNRM2(N,X,INCX)
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX,N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION X(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -29,15 +29,35 @@
*> DNRM2 := sqrt( x'*x )
*> \endverbatim
*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> number of elements in input vector(s)
+*> \endverbatim
+*>
+*> \param[in] X
+*> \verbatim
+*> X is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> storage spacing between elements of DX
+*> \endverbatim
+*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level1
*
@@ -54,10 +74,10 @@
* =====================================================================
DOUBLE PRECISION FUNCTION DNRM2(N,X,INCX)
*
-* -- Reference BLAS level1 routine (version 3.4.0) --
+* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX,N
diff --git a/lib/linalg/dorg2l.f b/lib/linalg/dorg2l.f
index b95fa50fc5..36ff4e5d4b 100644
--- a/lib/linalg/dorg2l.f
+++ b/lib/linalg/dorg2l.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DORG2L + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorg2l.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorg2l.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorg2l.f">
+*> Download DORG2L + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorg2l.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorg2l.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorg2l.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DORG2L( M, N, K, A, LDA, TAU, WORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, K, LDA, M, N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -102,22 +102,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
* =====================================================================
SUBROUTINE DORG2L( M, N, K, A, LDA, TAU, WORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, K, LDA, M, N
diff --git a/lib/linalg/dorg2r.f b/lib/linalg/dorg2r.f
index 86df6dddc7..4b71011a9f 100644
--- a/lib/linalg/dorg2r.f
+++ b/lib/linalg/dorg2r.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DORG2R + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorg2r.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorg2r.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorg2r.f">
+*> Download DORG2R + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorg2r.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorg2r.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorg2r.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DORG2R( M, N, K, A, LDA, TAU, WORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, K, LDA, M, N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -102,22 +102,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
* =====================================================================
SUBROUTINE DORG2R( M, N, K, A, LDA, TAU, WORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, K, LDA, M, N
diff --git a/lib/linalg/dorgbr.f b/lib/linalg/dorgbr.f
index ddfa7262a0..cfebda5abd 100644
--- a/lib/linalg/dorgbr.f
+++ b/lib/linalg/dorgbr.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DORGBR + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorgbr.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorgbr.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorgbr.f">
+*> Download DORGBR + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorgbr.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorgbr.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorgbr.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DORGBR( VECT, M, N, K, A, LDA, TAU, WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER VECT
* INTEGER INFO, K, LDA, LWORK, M, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -145,10 +145,10 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
*> \date April 2012
*
@@ -157,7 +157,7 @@
* =====================================================================
SUBROUTINE DORGBR( VECT, M, N, K, A, LDA, TAU, WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.1) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
* April 2012
@@ -182,8 +182,7 @@
* ..
* .. External Functions ..
LOGICAL LSAME
- INTEGER ILAENV
- EXTERNAL LSAME, ILAENV
+ EXTERNAL LSAME
* ..
* .. External Subroutines ..
EXTERNAL DORGLQ, DORGQR, XERBLA
diff --git a/lib/linalg/dorgl2.f b/lib/linalg/dorgl2.f
index 3e8398b73f..5d8985d758 100644
--- a/lib/linalg/dorgl2.f
+++ b/lib/linalg/dorgl2.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DORGL2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorgl2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorgl2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorgl2.f">
+*> Download DORGL2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorgl2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorgl2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorgl2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DORGL2( M, N, K, A, LDA, TAU, WORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, K, LDA, M, N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -101,22 +101,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
* =====================================================================
SUBROUTINE DORGL2( M, N, K, A, LDA, TAU, WORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, K, LDA, M, N
diff --git a/lib/linalg/dorglq.f b/lib/linalg/dorglq.f
index 88aec15005..912b5de84e 100644
--- a/lib/linalg/dorglq.f
+++ b/lib/linalg/dorglq.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DORGLQ + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorglq.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorglq.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorglq.f">
+*> Download DORGLQ + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorglq.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorglq.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorglq.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DORGLQ( M, N, K, A, LDA, TAU, WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, K, LDA, LWORK, M, N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -115,22 +115,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
* =====================================================================
SUBROUTINE DORGLQ( M, N, K, A, LDA, TAU, WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, K, LDA, LWORK, M, N
diff --git a/lib/linalg/dorgql.f b/lib/linalg/dorgql.f
index ca4698d799..ea12be91b1 100644
--- a/lib/linalg/dorgql.f
+++ b/lib/linalg/dorgql.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DORGQL + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorgql.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorgql.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorgql.f">
+*> Download DORGQL + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorgql.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorgql.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorgql.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DORGQL( M, N, K, A, LDA, TAU, WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, K, LDA, LWORK, M, N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -116,22 +116,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
* =====================================================================
SUBROUTINE DORGQL( M, N, K, A, LDA, TAU, WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, K, LDA, LWORK, M, N
diff --git a/lib/linalg/dorgqr.f b/lib/linalg/dorgqr.f
index 404ab184e6..628eeacba7 100644
--- a/lib/linalg/dorgqr.f
+++ b/lib/linalg/dorgqr.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DORGQR + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorgqr.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorgqr.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorgqr.f">
+*> Download DORGQR + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorgqr.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorgqr.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorgqr.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DORGQR( M, N, K, A, LDA, TAU, WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, K, LDA, LWORK, M, N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -116,22 +116,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
* =====================================================================
SUBROUTINE DORGQR( M, N, K, A, LDA, TAU, WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, K, LDA, LWORK, M, N
diff --git a/lib/linalg/dorgtr.f b/lib/linalg/dorgtr.f
index 06a7b6cc1c..72623eac06 100644
--- a/lib/linalg/dorgtr.f
+++ b/lib/linalg/dorgtr.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DORGTR + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorgtr.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorgtr.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorgtr.f">
+*> Download DORGTR + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorgtr.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorgtr.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorgtr.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DORGTR( UPLO, N, A, LDA, TAU, WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER INFO, LDA, LWORK, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -111,22 +111,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
* =====================================================================
SUBROUTINE DORGTR( UPLO, N, A, LDA, TAU, WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
diff --git a/lib/linalg/dorm2l.f b/lib/linalg/dorm2l.f
index 3ff25869a7..1014cb2378 100644
--- a/lib/linalg/dorm2l.f
+++ b/lib/linalg/dorm2l.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DORM2L + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorm2l.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorm2l.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorm2l.f">
+*> Download DORM2L + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorm2l.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorm2l.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorm2l.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DORM2L( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
* WORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER SIDE, TRANS
* INTEGER INFO, K, LDA, LDC, M, N
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -146,12 +146,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
@@ -159,10 +159,10 @@
SUBROUTINE DORM2L( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
$ WORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER SIDE, TRANS
diff --git a/lib/linalg/dorm2r.f b/lib/linalg/dorm2r.f
index b13f12d53c..632b70e740 100644
--- a/lib/linalg/dorm2r.f
+++ b/lib/linalg/dorm2r.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DORM2R + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorm2r.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorm2r.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorm2r.f">
+*> Download DORM2R + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorm2r.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorm2r.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorm2r.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DORM2R( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
* WORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER SIDE, TRANS
* INTEGER INFO, K, LDA, LDC, M, N
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -146,12 +146,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
@@ -159,10 +159,10 @@
SUBROUTINE DORM2R( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
$ WORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER SIDE, TRANS
diff --git a/lib/linalg/dormbr.f b/lib/linalg/dormbr.f
index 7a0d9b9038..f035d0ae66 100644
--- a/lib/linalg/dormbr.f
+++ b/lib/linalg/dormbr.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DORMBR + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dormbr.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dormbr.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dormbr.f">
+*> Download DORMBR + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dormbr.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dormbr.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dormbr.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DORMBR( VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C,
* LDC, WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER SIDE, TRANS, VECT
* INTEGER INFO, K, LDA, LDC, LWORK, M, N
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -182,12 +182,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
@@ -195,10 +195,10 @@
SUBROUTINE DORMBR( VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C,
$ LDC, WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER SIDE, TRANS, VECT
diff --git a/lib/linalg/dorml2.f b/lib/linalg/dorml2.f
index 9ae2396e12..2c55c7f1fd 100644
--- a/lib/linalg/dorml2.f
+++ b/lib/linalg/dorml2.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DORML2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorml2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorml2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorml2.f">
+*> Download DORML2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorml2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorml2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorml2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DORML2( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
* WORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER SIDE, TRANS
* INTEGER INFO, K, LDA, LDC, M, N
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -146,12 +146,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
@@ -159,10 +159,10 @@
SUBROUTINE DORML2( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
$ WORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER SIDE, TRANS
diff --git a/lib/linalg/dormlq.f b/lib/linalg/dormlq.f
index ebbd4d26e2..bb5469d273 100644
--- a/lib/linalg/dormlq.f
+++ b/lib/linalg/dormlq.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DORMLQ + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dormlq.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dormlq.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dormlq.f">
+*> Download DORMLQ + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dormlq.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dormlq.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dormlq.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DORMLQ( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
* WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER SIDE, TRANS
* INTEGER INFO, K, LDA, LDC, LWORK, M, N
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -136,9 +136,7 @@
*> The dimension of the array WORK.
*> If SIDE = 'L', LWORK >= max(1,N);
*> if SIDE = 'R', LWORK >= max(1,M).
-*> For optimum performance LWORK >= N*NB if SIDE = 'L', and
-*> LWORK >= M*NB if SIDE = 'R', where NB is the optimal
-*> blocksize.
+*> For good performance, LWORK should generally be larger.
*>
*> If LWORK = -1, then a workspace query is assumed; the routine
*> only calculates the optimal size of the WORK array, returns
@@ -156,12 +154,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
@@ -169,10 +167,10 @@
SUBROUTINE DORMLQ( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
$ WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER SIDE, TRANS
@@ -185,18 +183,16 @@
* =====================================================================
*
* .. Parameters ..
- INTEGER NBMAX, LDT
- PARAMETER ( NBMAX = 64, LDT = NBMAX+1 )
+ INTEGER NBMAX, LDT, TSIZE
+ PARAMETER ( NBMAX = 64, LDT = NBMAX+1,
+ $ TSIZE = LDT*NBMAX )
* ..
* .. Local Scalars ..
LOGICAL LEFT, LQUERY, NOTRAN
CHARACTER TRANST
- INTEGER I, I1, I2, I3, IB, IC, IINFO, IWS, JC, LDWORK,
+ INTEGER I, I1, I2, I3, IB, IC, IINFO, IWT, JC, LDWORK,
$ LWKOPT, MI, NB, NBMIN, NI, NQ, NW
* ..
-* .. Local Arrays ..
- DOUBLE PRECISION T( LDT, NBMAX )
-* ..
* .. External Functions ..
LOGICAL LSAME
INTEGER ILAENV
@@ -246,12 +242,11 @@
*
IF( INFO.EQ.0 ) THEN
*
-* Determine the block size. NB may be at most NBMAX, where NBMAX
-* is used to define the local array T.
+* Compute the workspace requirements
*
NB = MIN( NBMAX, ILAENV( 1, 'DORMLQ', SIDE // TRANS, M, N, K,
$ -1 ) )
- LWKOPT = MAX( 1, NW )*NB
+ LWKOPT = MAX( 1, NW )*NB + TSIZE
WORK( 1 ) = LWKOPT
END IF
*
@@ -272,14 +267,11 @@
NBMIN = 2
LDWORK = NW
IF( NB.GT.1 .AND. NB.LT.K ) THEN
- IWS = NW*NB
- IF( LWORK.LT.IWS ) THEN
- NB = LWORK / LDWORK
+ IF( LWORK.LT.NW*NB+TSIZE ) THEN
+ NB = (LWORK-TSIZE) / LDWORK
NBMIN = MAX( 2, ILAENV( 2, 'DORMLQ', SIDE // TRANS, M, N, K,
$ -1 ) )
END IF
- ELSE
- IWS = NW
END IF
*
IF( NB.LT.NBMIN .OR. NB.GE.K ) THEN
@@ -292,6 +284,7 @@
*
* Use blocked code
*
+ IWT = 1 + NW*NB
IF( ( LEFT .AND. NOTRAN ) .OR.
$ ( .NOT.LEFT .AND. .NOT.NOTRAN ) ) THEN
I1 = 1
@@ -324,7 +317,7 @@
* H = H(i) H(i+1) . . . H(i+ib-1)
*
CALL DLARFT( 'Forward', 'Rowwise', NQ-I+1, IB, A( I, I ),
- $ LDA, TAU( I ), T, LDT )
+ $ LDA, TAU( I ), WORK( IWT ), LDT )
IF( LEFT ) THEN
*
* H or H**T is applied to C(i:m,1:n)
@@ -342,8 +335,8 @@
* Apply H or H**T
*
CALL DLARFB( SIDE, TRANST, 'Forward', 'Rowwise', MI, NI, IB,
- $ A( I, I ), LDA, T, LDT, C( IC, JC ), LDC, WORK,
- $ LDWORK )
+ $ A( I, I ), LDA, WORK( IWT ), LDT,
+ $ C( IC, JC ), LDC, WORK, LDWORK )
10 CONTINUE
END IF
WORK( 1 ) = LWKOPT
diff --git a/lib/linalg/dormql.f b/lib/linalg/dormql.f
index 96c6f1958e..7d2b5d6c32 100644
--- a/lib/linalg/dormql.f
+++ b/lib/linalg/dormql.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DORMQL + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dormql.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dormql.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dormql.f">
+*> Download DORMQL + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dormql.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dormql.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dormql.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DORMQL( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
* WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER SIDE, TRANS
* INTEGER INFO, K, LDA, LDC, LWORK, M, N
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -136,9 +136,7 @@
*> The dimension of the array WORK.
*> If SIDE = 'L', LWORK >= max(1,N);
*> if SIDE = 'R', LWORK >= max(1,M).
-*> For optimum performance LWORK >= N*NB if SIDE = 'L', and
-*> LWORK >= M*NB if SIDE = 'R', where NB is the optimal
-*> blocksize.
+*> For good performance, LWORK should generally be larger.
*>
*> If LWORK = -1, then a workspace query is assumed; the routine
*> only calculates the optimal size of the WORK array, returns
@@ -156,12 +154,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
@@ -169,10 +167,10 @@
SUBROUTINE DORMQL( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
$ WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER SIDE, TRANS
@@ -185,17 +183,15 @@
* =====================================================================
*
* .. Parameters ..
- INTEGER NBMAX, LDT
- PARAMETER ( NBMAX = 64, LDT = NBMAX+1 )
+ INTEGER NBMAX, LDT, TSIZE
+ PARAMETER ( NBMAX = 64, LDT = NBMAX+1,
+ $ TSIZE = LDT*NBMAX )
* ..
* .. Local Scalars ..
LOGICAL LEFT, LQUERY, NOTRAN
- INTEGER I, I1, I2, I3, IB, IINFO, IWS, LDWORK, LWKOPT,
+ INTEGER I, I1, I2, I3, IB, IINFO, IWT, LDWORK, LWKOPT,
$ MI, NB, NBMIN, NI, NQ, NW
* ..
-* .. Local Arrays ..
- DOUBLE PRECISION T( LDT, NBMAX )
-* ..
* .. External Functions ..
LOGICAL LSAME
INTEGER ILAENV
@@ -239,25 +235,22 @@
INFO = -7
ELSE IF( LDC.LT.MAX( 1, M ) ) THEN
INFO = -10
+ ELSE IF( LWORK.LT.NW .AND. .NOT.LQUERY ) THEN
+ INFO = -12
END IF
*
IF( INFO.EQ.0 ) THEN
+*
+* Compute the workspace requirements
+*
IF( M.EQ.0 .OR. N.EQ.0 ) THEN
LWKOPT = 1
ELSE
-*
-* Determine the block size. NB may be at most NBMAX, where
-* NBMAX is used to define the local array T.
-*
NB = MIN( NBMAX, ILAENV( 1, 'DORMQL', SIDE // TRANS, M, N,
$ K, -1 ) )
- LWKOPT = NW*NB
+ LWKOPT = NW*NB + TSIZE
END IF
WORK( 1 ) = LWKOPT
-*
- IF( LWORK.LT.NW .AND. .NOT.LQUERY ) THEN
- INFO = -12
- END IF
END IF
*
IF( INFO.NE.0 ) THEN
@@ -276,14 +269,11 @@
NBMIN = 2
LDWORK = NW
IF( NB.GT.1 .AND. NB.LT.K ) THEN
- IWS = NW*NB
- IF( LWORK.LT.IWS ) THEN
- NB = LWORK / LDWORK
+ IF( LWORK.LT.NW*NB+TSIZE ) THEN
+ NB = (LWORK-TSIZE) / LDWORK
NBMIN = MAX( 2, ILAENV( 2, 'DORMQL', SIDE // TRANS, M, N, K,
$ -1 ) )
END IF
- ELSE
- IWS = NW
END IF
*
IF( NB.LT.NBMIN .OR. NB.GE.K ) THEN
@@ -296,6 +286,7 @@
*
* Use blocked code
*
+ IWT = 1 + NW*NB
IF( ( LEFT .AND. NOTRAN ) .OR.
$ ( .NOT.LEFT .AND. .NOT.NOTRAN ) ) THEN
I1 = 1
@@ -320,7 +311,7 @@
* H = H(i+ib-1) . . . H(i+1) H(i)
*
CALL DLARFT( 'Backward', 'Columnwise', NQ-K+I+IB-1, IB,
- $ A( 1, I ), LDA, TAU( I ), T, LDT )
+ $ A( 1, I ), LDA, TAU( I ), WORK( IWT ), LDT )
IF( LEFT ) THEN
*
* H or H**T is applied to C(1:m-k+i+ib-1,1:n)
@@ -336,8 +327,8 @@
* Apply H or H**T
*
CALL DLARFB( SIDE, TRANS, 'Backward', 'Columnwise', MI, NI,
- $ IB, A( 1, I ), LDA, T, LDT, C, LDC, WORK,
- $ LDWORK )
+ $ IB, A( 1, I ), LDA, WORK( IWT ), LDT, C, LDC,
+ $ WORK, LDWORK )
10 CONTINUE
END IF
WORK( 1 ) = LWKOPT
diff --git a/lib/linalg/dormqr.f b/lib/linalg/dormqr.f
index c0767ecf61..7f2ebb9ace 100644
--- a/lib/linalg/dormqr.f
+++ b/lib/linalg/dormqr.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DORMQR + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dormqr.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dormqr.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dormqr.f">
+*> Download DORMQR + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dormqr.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dormqr.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dormqr.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DORMQR( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
* WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER SIDE, TRANS
* INTEGER INFO, K, LDA, LDC, LWORK, M, N
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -136,9 +136,7 @@
*> The dimension of the array WORK.
*> If SIDE = 'L', LWORK >= max(1,N);
*> if SIDE = 'R', LWORK >= max(1,M).
-*> For optimum performance LWORK >= N*NB if SIDE = 'L', and
-*> LWORK >= M*NB if SIDE = 'R', where NB is the optimal
-*> blocksize.
+*> For good performance, LWORK should generally be larger.
*>
*> If LWORK = -1, then a workspace query is assumed; the routine
*> only calculates the optimal size of the WORK array, returns
@@ -156,12 +154,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
@@ -169,10 +167,10 @@
SUBROUTINE DORMQR( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
$ WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER SIDE, TRANS
@@ -185,17 +183,15 @@
* =====================================================================
*
* .. Parameters ..
- INTEGER NBMAX, LDT
- PARAMETER ( NBMAX = 64, LDT = NBMAX+1 )
+ INTEGER NBMAX, LDT, TSIZE
+ PARAMETER ( NBMAX = 64, LDT = NBMAX+1,
+ $ TSIZE = LDT*NBMAX )
* ..
* .. Local Scalars ..
LOGICAL LEFT, LQUERY, NOTRAN
- INTEGER I, I1, I2, I3, IB, IC, IINFO, IWS, JC, LDWORK,
+ INTEGER I, I1, I2, I3, IB, IC, IINFO, IWT, JC, LDWORK,
$ LWKOPT, MI, NB, NBMIN, NI, NQ, NW
* ..
-* .. Local Arrays ..
- DOUBLE PRECISION T( LDT, NBMAX )
-* ..
* .. External Functions ..
LOGICAL LSAME
INTEGER ILAENV
@@ -245,12 +241,11 @@
*
IF( INFO.EQ.0 ) THEN
*
-* Determine the block size. NB may be at most NBMAX, where NBMAX
-* is used to define the local array T.
+* Compute the workspace requirements
*
NB = MIN( NBMAX, ILAENV( 1, 'DORMQR', SIDE // TRANS, M, N, K,
$ -1 ) )
- LWKOPT = MAX( 1, NW )*NB
+ LWKOPT = MAX( 1, NW )*NB + TSIZE
WORK( 1 ) = LWKOPT
END IF
*
@@ -271,14 +266,11 @@
NBMIN = 2
LDWORK = NW
IF( NB.GT.1 .AND. NB.LT.K ) THEN
- IWS = NW*NB
- IF( LWORK.LT.IWS ) THEN
- NB = LWORK / LDWORK
+ IF( LWORK.LT.NW*NB+TSIZE ) THEN
+ NB = (LWORK-TSIZE) / LDWORK
NBMIN = MAX( 2, ILAENV( 2, 'DORMQR', SIDE // TRANS, M, N, K,
$ -1 ) )
END IF
- ELSE
- IWS = NW
END IF
*
IF( NB.LT.NBMIN .OR. NB.GE.K ) THEN
@@ -291,6 +283,7 @@
*
* Use blocked code
*
+ IWT = 1 + NW*NB
IF( ( LEFT .AND. .NOT.NOTRAN ) .OR.
$ ( .NOT.LEFT .AND. NOTRAN ) ) THEN
I1 = 1
@@ -317,7 +310,7 @@
* H = H(i) H(i+1) . . . H(i+ib-1)
*
CALL DLARFT( 'Forward', 'Columnwise', NQ-I+1, IB, A( I, I ),
- $ LDA, TAU( I ), T, LDT )
+ $ LDA, TAU( I ), WORK( IWT ), LDT )
IF( LEFT ) THEN
*
* H or H**T is applied to C(i:m,1:n)
@@ -335,8 +328,8 @@
* Apply H or H**T
*
CALL DLARFB( SIDE, TRANS, 'Forward', 'Columnwise', MI, NI,
- $ IB, A( I, I ), LDA, T, LDT, C( IC, JC ), LDC,
- $ WORK, LDWORK )
+ $ IB, A( I, I ), LDA, WORK( IWT ), LDT,
+ $ C( IC, JC ), LDC, WORK, LDWORK )
10 CONTINUE
END IF
WORK( 1 ) = LWKOPT
diff --git a/lib/linalg/dormtr.f b/lib/linalg/dormtr.f
index 00fff4dda2..d2443c1dac 100644
--- a/lib/linalg/dormtr.f
+++ b/lib/linalg/dormtr.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DORMTR + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dormtr.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dormtr.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dormtr.f">
+*> Download DORMTR + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dormtr.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dormtr.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dormtr.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DORMTR( SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC,
* WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER SIDE, TRANS, UPLO
* INTEGER INFO, LDA, LDC, LWORK, M, N
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -158,12 +158,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
@@ -171,10 +171,10 @@
SUBROUTINE DORMTR( SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC,
$ WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER SIDE, TRANS, UPLO
diff --git a/lib/linalg/dpotf2.f b/lib/linalg/dpotf2.f
index 6003e19b05..1fb60a903b 100644
--- a/lib/linalg/dpotf2.f
+++ b/lib/linalg/dpotf2.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DPOTF2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dpotf2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dpotf2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dpotf2.f">
+*> Download DPOTF2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dpotf2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dpotf2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dpotf2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DPOTF2( UPLO, N, A, LDA, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER INFO, LDA, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -97,22 +97,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doublePOcomputational
*
* =====================================================================
SUBROUTINE DPOTF2( UPLO, N, A, LDA, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
diff --git a/lib/linalg/dpotrf.f b/lib/linalg/dpotrf.f
index 3457230b56..1fa75a4654 100644
--- a/lib/linalg/dpotrf.f
+++ b/lib/linalg/dpotrf.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DPOTRF + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dpotrf.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dpotrf.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dpotrf.f">
+*> Download DPOTRF + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dpotrf.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dpotrf.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dpotrf.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DPOTRF( UPLO, N, A, LDA, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER INFO, LDA, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -95,22 +95,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doublePOcomputational
*
* =====================================================================
SUBROUTINE DPOTRF( UPLO, N, A, LDA, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
@@ -136,7 +136,7 @@
EXTERNAL LSAME, ILAENV
* ..
* .. External Subroutines ..
- EXTERNAL DGEMM, DPOTF2, DSYRK, DTRSM, XERBLA
+ EXTERNAL DGEMM, DPOTRF2, DSYRK, DTRSM, XERBLA
* ..
* .. Intrinsic Functions ..
INTRINSIC MAX, MIN
@@ -171,7 +171,7 @@
*
* Use unblocked code.
*
- CALL DPOTF2( UPLO, N, A, LDA, INFO )
+ CALL DPOTRF2( UPLO, N, A, LDA, INFO )
ELSE
*
* Use blocked code.
@@ -188,7 +188,7 @@
JB = MIN( NB, N-J+1 )
CALL DSYRK( 'Upper', 'Transpose', JB, J-1, -ONE,
$ A( 1, J ), LDA, ONE, A( J, J ), LDA )
- CALL DPOTF2( 'Upper', JB, A( J, J ), LDA, INFO )
+ CALL DPOTRF2( 'Upper', JB, A( J, J ), LDA, INFO )
IF( INFO.NE.0 )
$ GO TO 30
IF( J+JB.LE.N ) THEN
@@ -216,7 +216,7 @@
JB = MIN( NB, N-J+1 )
CALL DSYRK( 'Lower', 'No transpose', JB, J-1, -ONE,
$ A( J, 1 ), LDA, ONE, A( J, J ), LDA )
- CALL DPOTF2( 'Lower', JB, A( J, J ), LDA, INFO )
+ CALL DPOTRF2( 'Lower', JB, A( J, J ), LDA, INFO )
IF( INFO.NE.0 )
$ GO TO 30
IF( J+JB.LE.N ) THEN
diff --git a/lib/linalg/drot.f b/lib/linalg/drot.f
index 1615ef6a87..0d33ea76c8 100644
--- a/lib/linalg/drot.f
+++ b/lib/linalg/drot.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DROT(N,DX,INCX,DY,INCY,C,S)
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION C,S
* INTEGER INCX,INCY,N
@@ -17,7 +17,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION DX(*),DY(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -27,15 +27,56 @@
*> DROT applies a plane rotation.
*> \endverbatim
*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> number of elements in input vector(s)
+*> \endverbatim
+*>
+*> \param[in,out] DX
+*> \verbatim
+*> DX is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> storage spacing between elements of DX
+*> \endverbatim
+*>
+*> \param[in,out] DY
+*> \verbatim
+*> DY is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCY ) )
+*> \endverbatim
+*>
+*> \param[in] INCY
+*> \verbatim
+*> INCY is INTEGER
+*> storage spacing between elements of DY
+*> \endverbatim
+*>
+*> \param[in] C
+*> \verbatim
+*> C is DOUBLE PRECISION
+*> \endverbatim
+*>
+*> \param[in] S
+*> \verbatim
+*> S is DOUBLE PRECISION
+*> \endverbatim
+*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level1
*
@@ -51,10 +92,10 @@
* =====================================================================
SUBROUTINE DROT(N,DX,INCX,DY,INCY,C,S)
*
-* -- Reference BLAS level1 routine (version 3.4.0) --
+* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION C,S
diff --git a/lib/linalg/drscl.f b/lib/linalg/drscl.f
index 21ba19c11a..9251143680 100644
--- a/lib/linalg/drscl.f
+++ b/lib/linalg/drscl.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DRSCL + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/drscl.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/drscl.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/drscl.f">
+*> Download DRSCL + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/drscl.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/drscl.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/drscl.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DRSCL( N, SA, SX, INCX )
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX, N
* DOUBLE PRECISION SA
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION SX( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -72,22 +72,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleOTHERauxiliary
*
* =====================================================================
SUBROUTINE DRSCL( N, SA, SX, INCX )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX, N
diff --git a/lib/linalg/dscal.f b/lib/linalg/dscal.f
index 3337de8e63..e0a92de6ba 100644
--- a/lib/linalg/dscal.f
+++ b/lib/linalg/dscal.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DSCAL(N,DA,DX,INCX)
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION DA
* INTEGER INCX,N
@@ -17,7 +17,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION DX(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -25,18 +25,44 @@
*> \verbatim
*>
*> DSCAL scales a vector by a constant.
-*> uses unrolled loops for increment equal to one.
+*> uses unrolled loops for increment equal to 1.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> number of elements in input vector(s)
+*> \endverbatim
+*>
+*> \param[in] DA
+*> \verbatim
+*> DA is DOUBLE PRECISION
+*> On entry, DA specifies the scalar alpha.
+*> \endverbatim
+*>
+*> \param[in,out] DX
+*> \verbatim
+*> DX is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> storage spacing between elements of DX
*> \endverbatim
*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level1
*
@@ -53,10 +79,10 @@
* =====================================================================
SUBROUTINE DSCAL(N,DA,DX,INCX)
*
-* -- Reference BLAS level1 routine (version 3.4.0) --
+* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION DA
diff --git a/lib/linalg/dstedc.f b/lib/linalg/dstedc.f
index b59e1c3bbd..61b44bc06b 100644
--- a/lib/linalg/dstedc.f
+++ b/lib/linalg/dstedc.f
@@ -1,26 +1,26 @@
-*> \brief \b DSTEBZ
+*> \brief \b DSTEDC
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DSTEDC + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dstedc.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dstedc.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dstedc.f">
+*> Download DSTEDC + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dstedc.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dstedc.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dstedc.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DSTEDC( COMPZ, N, D, E, Z, LDZ, WORK, LWORK, IWORK,
* LIWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER COMPZ
* INTEGER INFO, LDZ, LIWORK, LWORK, N
@@ -29,7 +29,7 @@
* INTEGER IWORK( * )
* DOUBLE PRECISION D( * ), E( * ), WORK( * ), Z( LDZ, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -105,8 +105,7 @@
*>
*> \param[out] WORK
*> \verbatim
-*> WORK is DOUBLE PRECISION array,
-*> dimension (LWORK)
+*> WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK))
*> On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
*> \endverbatim
*>
@@ -169,12 +168,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date June 2017
*
*> \ingroup auxOTHERcomputational
*
@@ -189,10 +188,10 @@
SUBROUTINE DSTEDC( COMPZ, N, D, E, Z, LDZ, WORK, LWORK, IWORK,
$ LIWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.1) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* June 2017
*
* .. Scalar Arguments ..
CHARACTER COMPZ
@@ -443,38 +442,32 @@
*
* endwhile
*
-* If the problem split any number of times, then the eigenvalues
-* will not be properly ordered. Here we permute the eigenvalues
-* (and the associated eigenvectors) into ascending order.
-*
- IF( M.NE.N ) THEN
- IF( ICOMPZ.EQ.0 ) THEN
+ IF( ICOMPZ.EQ.0 ) THEN
*
-* Use Quick Sort
+* Use Quick Sort
*
- CALL DLASRT( 'I', N, D, INFO )
+ CALL DLASRT( 'I', N, D, INFO )
*
- ELSE
+ ELSE
*
-* Use Selection Sort to minimize swaps of eigenvectors
-*
- DO 40 II = 2, N
- I = II - 1
- K = I
- P = D( I )
- DO 30 J = II, N
- IF( D( J ).LT.P ) THEN
- K = J
- P = D( J )
- END IF
- 30 CONTINUE
- IF( K.NE.I ) THEN
- D( K ) = D( I )
- D( I ) = P
- CALL DSWAP( N, Z( 1, I ), 1, Z( 1, K ), 1 )
- END IF
- 40 CONTINUE
- END IF
+* Use Selection Sort to minimize swaps of eigenvectors
+*
+ DO 40 II = 2, N
+ I = II - 1
+ K = I
+ P = D( I )
+ DO 30 J = II, N
+ IF( D( J ).LT.P ) THEN
+ K = J
+ P = D( J )
+ END IF
+ 30 CONTINUE
+ IF( K.NE.I ) THEN
+ D( K ) = D( I )
+ D( I ) = P
+ CALL DSWAP( N, Z( 1, I ), 1, Z( 1, K ), 1 )
+ END IF
+ 40 CONTINUE
END IF
END IF
*
diff --git a/lib/linalg/dsteqr.f b/lib/linalg/dsteqr.f
index 9e165bb6bb..c34a548984 100644
--- a/lib/linalg/dsteqr.f
+++ b/lib/linalg/dsteqr.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DSTEQR + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsteqr.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsteqr.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsteqr.f">
+*> Download DSTEQR + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsteqr.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsteqr.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsteqr.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DSTEQR( COMPZ, N, D, E, Z, LDZ, WORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER COMPZ
* INTEGER INFO, LDZ, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION D( * ), E( * ), WORK( * ), Z( LDZ, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -119,22 +119,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup auxOTHERcomputational
*
* =====================================================================
SUBROUTINE DSTEQR( COMPZ, N, D, E, Z, LDZ, WORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER COMPZ
diff --git a/lib/linalg/dsterf.f b/lib/linalg/dsterf.f
index b93cc13dd6..3401894819 100644
--- a/lib/linalg/dsterf.f
+++ b/lib/linalg/dsterf.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DSTERF + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsterf.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsterf.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsterf.f">
+*> Download DSTERF + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsterf.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsterf.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsterf.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DSTERF( N, D, E, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION D( * ), E( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -74,22 +74,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup auxOTHERcomputational
*
* =====================================================================
SUBROUTINE DSTERF( N, D, E, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, N
@@ -190,7 +190,7 @@
ANORM = DLANST( 'M', LEND-L+1, D( L ), E( L ) )
ISCALE = 0
IF( ANORM.EQ.ZERO )
- $ GO TO 10
+ $ GO TO 10
IF( (ANORM.GT.SSFMAX) ) THEN
ISCALE = 1
CALL DLASCL( 'G', 0, 0, ANORM, SSFMAX, LEND-L+1, 1, D( L ), N,
diff --git a/lib/linalg/dswap.f b/lib/linalg/dswap.f
index e567bd93ec..94dfea3bb9 100644
--- a/lib/linalg/dswap.f
+++ b/lib/linalg/dswap.f
@@ -2,40 +2,71 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DSWAP(N,DX,INCX,DY,INCY)
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX,INCY,N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION DX(*),DY(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
-*> interchanges two vectors.
-*> uses unrolled loops for increments equal one.
+*> DSWAP interchanges two vectors.
+*> uses unrolled loops for increments equal to 1.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> number of elements in input vector(s)
+*> \endverbatim
+*>
+*> \param[in,out] DX
+*> \verbatim
+*> DX is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> storage spacing between elements of DX
+*> \endverbatim
+*>
+*> \param[in,out] DY
+*> \verbatim
+*> DY is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCY ) )
+*> \endverbatim
+*>
+*> \param[in] INCY
+*> \verbatim
+*> INCY is INTEGER
+*> storage spacing between elements of DY
*> \endverbatim
*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level1
*
@@ -51,10 +82,10 @@
* =====================================================================
SUBROUTINE DSWAP(N,DX,INCX,DY,INCY)
*
-* -- Reference BLAS level1 routine (version 3.4.0) --
+* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX,INCY,N
diff --git a/lib/linalg/dsyev.f b/lib/linalg/dsyev.f
index 64b39ed847..ee8c479abe 100644
--- a/lib/linalg/dsyev.f
+++ b/lib/linalg/dsyev.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DSYEV + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsyev.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsyev.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsyev.f">
+*> Download DSYEV + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsyev.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsyev.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsyev.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DSYEV( JOBZ, UPLO, N, A, LDA, W, WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER JOBZ, UPLO
* INTEGER INFO, LDA, LWORK, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), W( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -120,22 +120,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleSYeigen
*
* =====================================================================
SUBROUTINE DSYEV( JOBZ, UPLO, N, A, LDA, W, WORK, LWORK, INFO )
*
-* -- LAPACK driver routine (version 3.4.0) --
+* -- LAPACK driver routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER JOBZ, UPLO
diff --git a/lib/linalg/dsyevd.f b/lib/linalg/dsyevd.f
index 3c9545ac31..2db67846dc 100644
--- a/lib/linalg/dsyevd.f
+++ b/lib/linalg/dsyevd.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DSYEVD + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsyevd.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsyevd.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsyevd.f">
+*> Download DSYEVD + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsyevd.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsyevd.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsyevd.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DSYEVD( JOBZ, UPLO, N, A, LDA, W, WORK, LWORK, IWORK,
* LIWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER JOBZ, UPLO
* INTEGER INFO, LDA, LIWORK, LWORK, N
@@ -29,7 +29,7 @@
* INTEGER IWORK( * )
* DOUBLE PRECISION A( LDA, * ), W( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -162,12 +162,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleSYeigen
*
@@ -185,10 +185,10 @@
SUBROUTINE DSYEVD( JOBZ, UPLO, N, A, LDA, W, WORK, LWORK, IWORK,
$ LIWORK, INFO )
*
-* -- LAPACK driver routine (version 3.4.2) --
+* -- LAPACK driver routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER JOBZ, UPLO
diff --git a/lib/linalg/dsygs2.f b/lib/linalg/dsygs2.f
index 644dcfff1b..a54955c01e 100644
--- a/lib/linalg/dsygs2.f
+++ b/lib/linalg/dsygs2.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DSYGS2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsygs2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsygs2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsygs2.f">
+*> Download DSYGS2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsygs2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsygs2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsygs2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DSYGS2( ITYPE, UPLO, N, A, LDA, B, LDB, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER INFO, ITYPE, LDA, LDB, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), B( LDB, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -115,22 +115,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleSYcomputational
*
* =====================================================================
SUBROUTINE DSYGS2( ITYPE, UPLO, N, A, LDA, B, LDB, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
diff --git a/lib/linalg/dsygst.f b/lib/linalg/dsygst.f
index f1d5311c9a..5055acdf1d 100644
--- a/lib/linalg/dsygst.f
+++ b/lib/linalg/dsygst.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DSYGST + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsygst.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsygst.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsygst.f">
+*> Download DSYGST + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsygst.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsygst.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsygst.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DSYGST( ITYPE, UPLO, N, A, LDA, B, LDB, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER INFO, ITYPE, LDA, LDB, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), B( LDB, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -115,22 +115,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleSYcomputational
*
* =====================================================================
SUBROUTINE DSYGST( ITYPE, UPLO, N, A, LDA, B, LDB, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
diff --git a/lib/linalg/dsygv.f b/lib/linalg/dsygv.f
index e556318518..651abc5c7b 100644
--- a/lib/linalg/dsygv.f
+++ b/lib/linalg/dsygv.f
@@ -1,26 +1,26 @@
-*> \brief \b DSYGST
+*> \brief \b DSYGV
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DSYGV + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsygv.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsygv.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsygv.f">
+*> Download DSYGV + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsygv.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsygv.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsygv.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DSYGV( ITYPE, JOBZ, UPLO, N, A, LDA, B, LDB, W, WORK,
* LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER JOBZ, UPLO
* INTEGER INFO, ITYPE, LDA, LDB, LWORK, N
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), B( LDB, * ), W( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -162,12 +162,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleSYeigen
*
@@ -175,10 +175,10 @@
SUBROUTINE DSYGV( ITYPE, JOBZ, UPLO, N, A, LDA, B, LDB, W, WORK,
$ LWORK, INFO )
*
-* -- LAPACK driver routine (version 3.4.0) --
+* -- LAPACK driver routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER JOBZ, UPLO
diff --git a/lib/linalg/dsygvd.f b/lib/linalg/dsygvd.f
index 171aa175ff..29c78283a7 100644
--- a/lib/linalg/dsygvd.f
+++ b/lib/linalg/dsygvd.f
@@ -1,26 +1,26 @@
-*> \brief \b DSYGST
+*> \brief \b DSYGVD
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DSYGVD + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsygvd.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsygvd.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsygvd.f">
+*> Download DSYGVD + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsygvd.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsygvd.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsygvd.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DSYGVD( ITYPE, JOBZ, UPLO, N, A, LDA, B, LDB, W, WORK,
* LWORK, IWORK, LIWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER JOBZ, UPLO
* INTEGER INFO, ITYPE, LDA, LDB, LIWORK, LWORK, N
@@ -29,7 +29,7 @@
* INTEGER IWORK( * )
* DOUBLE PRECISION A( LDA, * ), B( LDB, * ), W( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -198,12 +198,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleSYeigen
*
@@ -227,10 +227,10 @@
SUBROUTINE DSYGVD( ITYPE, JOBZ, UPLO, N, A, LDA, B, LDB, W, WORK,
$ LWORK, IWORK, LIWORK, INFO )
*
-* -- LAPACK driver routine (version 3.4.0) --
+* -- LAPACK driver routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER JOBZ, UPLO
diff --git a/lib/linalg/dsymm.f b/lib/linalg/dsymm.f
index ee8df4df4b..622d2469f1 100644
--- a/lib/linalg/dsymm.f
+++ b/lib/linalg/dsymm.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DSYMM(SIDE,UPLO,M,N,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION ALPHA,BETA
* INTEGER LDA,LDB,LDC,M,N
@@ -18,7 +18,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A(LDA,*),B(LDB,*),C(LDC,*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -87,7 +87,7 @@
*>
*> \param[in] A
*> \verbatim
-*> A is DOUBLE PRECISION array of DIMENSION ( LDA, ka ), where ka is
+*> A is DOUBLE PRECISION array, dimension ( LDA, ka ), where ka is
*> m when SIDE = 'L' or 'l' and is n otherwise.
*> Before entry with SIDE = 'L' or 'l', the m by m part of
*> the array A must contain the symmetric matrix, such that
@@ -122,7 +122,7 @@
*>
*> \param[in] B
*> \verbatim
-*> B is DOUBLE PRECISION array of DIMENSION ( LDB, n ).
+*> B is DOUBLE PRECISION array, dimension ( LDB, N )
*> Before entry, the leading m by n part of the array B must
*> contain the matrix B.
*> \endverbatim
@@ -144,7 +144,7 @@
*>
*> \param[in,out] C
*> \verbatim
-*> C is DOUBLE PRECISION array of DIMENSION ( LDC, n ).
+*> C is DOUBLE PRECISION array, dimension ( LDC, N )
*> Before entry, the leading m by n part of the array C must
*> contain the matrix C, except when beta is zero, in which
*> case C need not be set on entry.
@@ -163,12 +163,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level3
*
@@ -189,10 +189,10 @@
* =====================================================================
SUBROUTINE DSYMM(SIDE,UPLO,M,N,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
*
-* -- Reference BLAS level3 routine (version 3.4.0) --
+* -- Reference BLAS level3 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION ALPHA,BETA
diff --git a/lib/linalg/dsymv.f b/lib/linalg/dsymv.f
index 5522023834..4bf973f10a 100644
--- a/lib/linalg/dsymv.f
+++ b/lib/linalg/dsymv.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DSYMV(UPLO,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION ALPHA,BETA
* INTEGER INCX,INCY,LDA,N
@@ -18,7 +18,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A(LDA,*),X(*),Y(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -65,7 +65,7 @@
*>
*> \param[in] A
*> \verbatim
-*> A is DOUBLE PRECISION array of DIMENSION ( LDA, n ).
+*> A is DOUBLE PRECISION array, dimension ( LDA, N )
*> Before entry with UPLO = 'U' or 'u', the leading n by n
*> upper triangular part of the array A must contain the upper
*> triangular part of the symmetric matrix and the strictly
@@ -86,7 +86,7 @@
*>
*> \param[in] X
*> \verbatim
-*> X is DOUBLE PRECISION array of dimension at least
+*> X is DOUBLE PRECISION array, dimension at least
*> ( 1 + ( n - 1 )*abs( INCX ) ).
*> Before entry, the incremented array X must contain the n
*> element vector x.
@@ -108,7 +108,7 @@
*>
*> \param[in,out] Y
*> \verbatim
-*> Y is DOUBLE PRECISION array of dimension at least
+*> Y is DOUBLE PRECISION array, dimension at least
*> ( 1 + ( n - 1 )*abs( INCY ) ).
*> Before entry, the incremented array Y must contain the n
*> element vector y. On exit, Y is overwritten by the updated
@@ -125,12 +125,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level2
*
@@ -152,10 +152,10 @@
* =====================================================================
SUBROUTINE DSYMV(UPLO,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
*
-* -- Reference BLAS level2 routine (version 3.4.0) --
+* -- Reference BLAS level2 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION ALPHA,BETA
diff --git a/lib/linalg/dsyr2.f b/lib/linalg/dsyr2.f
index 05e148105c..8970c4dcfd 100644
--- a/lib/linalg/dsyr2.f
+++ b/lib/linalg/dsyr2.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DSYR2(UPLO,N,ALPHA,X,INCX,Y,INCY,A,LDA)
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION ALPHA
* INTEGER INCX,INCY,LDA,N
@@ -18,7 +18,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A(LDA,*),X(*),Y(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -65,7 +65,7 @@
*>
*> \param[in] X
*> \verbatim
-*> X is DOUBLE PRECISION array of dimension at least
+*> X is DOUBLE PRECISION array, dimension at least
*> ( 1 + ( n - 1 )*abs( INCX ) ).
*> Before entry, the incremented array X must contain the n
*> element vector x.
@@ -80,7 +80,7 @@
*>
*> \param[in] Y
*> \verbatim
-*> Y is DOUBLE PRECISION array of dimension at least
+*> Y is DOUBLE PRECISION array, dimension at least
*> ( 1 + ( n - 1 )*abs( INCY ) ).
*> Before entry, the incremented array Y must contain the n
*> element vector y.
@@ -95,7 +95,7 @@
*>
*> \param[in,out] A
*> \verbatim
-*> A is DOUBLE PRECISION array of DIMENSION ( LDA, n ).
+*> A is DOUBLE PRECISION array, dimension ( LDA, N )
*> Before entry with UPLO = 'U' or 'u', the leading n by n
*> upper triangular part of the array A must contain the upper
*> triangular part of the symmetric matrix and the strictly
@@ -121,12 +121,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level2
*
@@ -147,10 +147,10 @@
* =====================================================================
SUBROUTINE DSYR2(UPLO,N,ALPHA,X,INCX,Y,INCY,A,LDA)
*
-* -- Reference BLAS level2 routine (version 3.4.0) --
+* -- Reference BLAS level2 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION ALPHA
diff --git a/lib/linalg/dsyr2k.f b/lib/linalg/dsyr2k.f
index 2dde293eae..f3a5940c7f 100644
--- a/lib/linalg/dsyr2k.f
+++ b/lib/linalg/dsyr2k.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DSYR2K(UPLO,TRANS,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION ALPHA,BETA
* INTEGER K,LDA,LDB,LDC,N
@@ -18,7 +18,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A(LDA,*),B(LDB,*),C(LDC,*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -95,7 +95,7 @@
*>
*> \param[in] A
*> \verbatim
-*> A is DOUBLE PRECISION array of DIMENSION ( LDA, ka ), where ka is
+*> A is DOUBLE PRECISION array, dimension ( LDA, ka ), where ka is
*> k when TRANS = 'N' or 'n', and is n otherwise.
*> Before entry with TRANS = 'N' or 'n', the leading n by k
*> part of the array A must contain the matrix A, otherwise
@@ -114,7 +114,7 @@
*>
*> \param[in] B
*> \verbatim
-*> B is DOUBLE PRECISION array of DIMENSION ( LDB, kb ), where kb is
+*> B is DOUBLE PRECISION array, dimension ( LDB, kb ), where kb is
*> k when TRANS = 'N' or 'n', and is n otherwise.
*> Before entry with TRANS = 'N' or 'n', the leading n by k
*> part of the array B must contain the matrix B, otherwise
@@ -139,7 +139,7 @@
*>
*> \param[in,out] C
*> \verbatim
-*> C is DOUBLE PRECISION array of DIMENSION ( LDC, n ).
+*> C is DOUBLE PRECISION array, dimension ( LDC, N )
*> Before entry with UPLO = 'U' or 'u', the leading n by n
*> upper triangular part of the array C must contain the upper
*> triangular part of the symmetric matrix and the strictly
@@ -165,12 +165,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level3
*
@@ -192,10 +192,10 @@
* =====================================================================
SUBROUTINE DSYR2K(UPLO,TRANS,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
*
-* -- Reference BLAS level3 routine (version 3.4.0) --
+* -- Reference BLAS level3 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION ALPHA,BETA
diff --git a/lib/linalg/dsyrk.f b/lib/linalg/dsyrk.f
index d91c3369f6..4be4d8d3c4 100644
--- a/lib/linalg/dsyrk.f
+++ b/lib/linalg/dsyrk.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DSYRK(UPLO,TRANS,N,K,ALPHA,A,LDA,BETA,C,LDC)
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION ALPHA,BETA
* INTEGER K,LDA,LDC,N
@@ -18,7 +18,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A(LDA,*),C(LDC,*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -92,7 +92,7 @@
*>
*> \param[in] A
*> \verbatim
-*> A is DOUBLE PRECISION array of DIMENSION ( LDA, ka ), where ka is
+*> A is DOUBLE PRECISION array, dimension ( LDA, ka ), where ka is
*> k when TRANS = 'N' or 'n', and is n otherwise.
*> Before entry with TRANS = 'N' or 'n', the leading n by k
*> part of the array A must contain the matrix A, otherwise
@@ -117,7 +117,7 @@
*>
*> \param[in,out] C
*> \verbatim
-*> C is DOUBLE PRECISION array of DIMENSION ( LDC, n ).
+*> C is DOUBLE PRECISION array, dimension ( LDC, N )
*> Before entry with UPLO = 'U' or 'u', the leading n by n
*> upper triangular part of the array C must contain the upper
*> triangular part of the symmetric matrix and the strictly
@@ -143,12 +143,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level3
*
@@ -169,10 +169,10 @@
* =====================================================================
SUBROUTINE DSYRK(UPLO,TRANS,N,K,ALPHA,A,LDA,BETA,C,LDC)
*
-* -- Reference BLAS level3 routine (version 3.4.0) --
+* -- Reference BLAS level3 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION ALPHA,BETA
diff --git a/lib/linalg/dsytd2.f b/lib/linalg/dsytd2.f
index a238f9ab3b..6fb4d5507e 100644
--- a/lib/linalg/dsytd2.f
+++ b/lib/linalg/dsytd2.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DSYTD2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsytd2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsytd2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsytd2.f">
+*> Download DSYTD2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsytd2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsytd2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsytd2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DSYTD2( UPLO, N, A, LDA, D, E, TAU, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER INFO, LDA, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), D( * ), E( * ), TAU( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -115,12 +115,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleSYcomputational
*
@@ -173,10 +173,10 @@
* =====================================================================
SUBROUTINE DSYTD2( UPLO, N, A, LDA, D, E, TAU, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
diff --git a/lib/linalg/dsytrd.f b/lib/linalg/dsytrd.f
index b268f4c1e4..d330b241fa 100644
--- a/lib/linalg/dsytrd.f
+++ b/lib/linalg/dsytrd.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DSYTRD + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsytrd.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsytrd.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsytrd.f">
+*> Download DSYTRD + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsytrd.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsytrd.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsytrd.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DSYTRD( UPLO, N, A, LDA, D, E, TAU, WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER INFO, LDA, LWORK, N
@@ -28,7 +28,7 @@
* DOUBLE PRECISION A( LDA, * ), D( * ), E( * ), TAU( * ),
* $ WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -134,12 +134,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleSYcomputational
*
@@ -192,10 +192,10 @@
* =====================================================================
SUBROUTINE DSYTRD( UPLO, N, A, LDA, D, E, TAU, WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
diff --git a/lib/linalg/dtrmm.f b/lib/linalg/dtrmm.f
index cbd5ce7034..0241c4d146 100644
--- a/lib/linalg/dtrmm.f
+++ b/lib/linalg/dtrmm.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DTRMM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION ALPHA
* INTEGER LDA,LDB,M,N
@@ -18,7 +18,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A(LDA,*),B(LDB,*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -109,7 +109,7 @@
*>
*> \param[in] A
*> \verbatim
-*> A is DOUBLE PRECISION array of DIMENSION ( LDA, k ), where k is m
+*> A is DOUBLE PRECISION array, dimension ( LDA, k ), where k is m
*> when SIDE = 'L' or 'l' and is n when SIDE = 'R' or 'r'.
*> Before entry with UPLO = 'U' or 'u', the leading k by k
*> upper triangular part of the array A must contain the upper
@@ -134,7 +134,7 @@
*>
*> \param[in,out] B
*> \verbatim
-*> B is DOUBLE PRECISION array of DIMENSION ( LDB, n ).
+*> B is DOUBLE PRECISION array, dimension ( LDB, N )
*> Before entry, the leading m by n part of the array B must
*> contain the matrix B, and on exit is overwritten by the
*> transformed matrix.
@@ -151,12 +151,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level3
*
@@ -177,10 +177,10 @@
* =====================================================================
SUBROUTINE DTRMM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
*
-* -- Reference BLAS level3 routine (version 3.4.0) --
+* -- Reference BLAS level3 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION ALPHA
diff --git a/lib/linalg/dtrmv.f b/lib/linalg/dtrmv.f
index 71459fe7c8..11c12ac724 100644
--- a/lib/linalg/dtrmv.f
+++ b/lib/linalg/dtrmv.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DTRMV(UPLO,TRANS,DIAG,N,A,LDA,X,INCX)
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX,LDA,N
* CHARACTER DIAG,TRANS,UPLO
@@ -17,7 +17,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A(LDA,*),X(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -80,7 +80,7 @@
*>
*> \param[in] A
*> \verbatim
-*> A is DOUBLE PRECISION array of DIMENSION ( LDA, n ).
+*> A is DOUBLE PRECISION array, dimension ( LDA, N )
*> Before entry with UPLO = 'U' or 'u', the leading n by n
*> upper triangular part of the array A must contain the upper
*> triangular matrix and the strictly lower triangular part of
@@ -103,11 +103,11 @@
*>
*> \param[in,out] X
*> \verbatim
-*> X is DOUBLE PRECISION array of dimension at least
+*> X is DOUBLE PRECISION array, dimension at least
*> ( 1 + ( n - 1 )*abs( INCX ) ).
*> Before entry, the incremented array X must contain the n
*> element vector x. On exit, X is overwritten with the
-*> tranformed vector x.
+*> transformed vector x.
*> \endverbatim
*>
*> \param[in] INCX
@@ -120,12 +120,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level2
*
@@ -147,10 +147,10 @@
* =====================================================================
SUBROUTINE DTRMV(UPLO,TRANS,DIAG,N,A,LDA,X,INCX)
*
-* -- Reference BLAS level2 routine (version 3.4.0) --
+* -- Reference BLAS level2 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX,LDA,N
diff --git a/lib/linalg/dtrsm.f b/lib/linalg/dtrsm.f
index 065df9a153..5a92bcafd0 100644
--- a/lib/linalg/dtrsm.f
+++ b/lib/linalg/dtrsm.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DTRSM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION ALPHA
* INTEGER LDA,LDB,M,N
@@ -18,7 +18,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A(LDA,*),B(LDB,*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -111,8 +111,8 @@
*>
*> \param[in] A
*> \verbatim
-*> A is DOUBLE PRECISION array of DIMENSION ( LDA, k ),
-*> where k is m when SIDE = 'L' or 'l'
+*> A is DOUBLE PRECISION array, dimension ( LDA, k ),
+*> where k is m when SIDE = 'L' or 'l'
*> and k is n when SIDE = 'R' or 'r'.
*> Before entry with UPLO = 'U' or 'u', the leading k by k
*> upper triangular part of the array A must contain the upper
@@ -137,7 +137,7 @@
*>
*> \param[in,out] B
*> \verbatim
-*> B is DOUBLE PRECISION array of DIMENSION ( LDB, n ).
+*> B is DOUBLE PRECISION array, dimension ( LDB, N )
*> Before entry, the leading m by n part of the array B must
*> contain the right-hand side matrix B, and on exit is
*> overwritten by the solution matrix X.
@@ -154,12 +154,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level3
*
@@ -181,10 +181,10 @@
* =====================================================================
SUBROUTINE DTRSM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
*
-* -- Reference BLAS level3 routine (version 3.4.0) --
+* -- Reference BLAS level3 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION ALPHA
diff --git a/lib/linalg/dtrsv.f b/lib/linalg/dtrsv.f
index e54303a93a..331f1d4311 100644
--- a/lib/linalg/dtrsv.f
+++ b/lib/linalg/dtrsv.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DTRSV(UPLO,TRANS,DIAG,N,A,LDA,X,INCX)
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX,LDA,N
* CHARACTER DIAG,TRANS,UPLO
@@ -17,7 +17,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A(LDA,*),X(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -83,7 +83,7 @@
*>
*> \param[in] A
*> \verbatim
-*> A is DOUBLE PRECISION array of DIMENSION ( LDA, n ).
+*> A is DOUBLE PRECISION array, dimension ( LDA, N )
*> Before entry with UPLO = 'U' or 'u', the leading n by n
*> upper triangular part of the array A must contain the upper
*> triangular matrix and the strictly lower triangular part of
@@ -106,7 +106,7 @@
*>
*> \param[in,out] X
*> \verbatim
-*> X is DOUBLE PRECISION array of dimension at least
+*> X is DOUBLE PRECISION array, dimension at least
*> ( 1 + ( n - 1 )*abs( INCX ) ).
*> Before entry, the incremented array X must contain the n
*> element right-hand side vector b. On exit, X is overwritten
@@ -131,22 +131,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level1
*
* =====================================================================
SUBROUTINE DTRSV(UPLO,TRANS,DIAG,N,A,LDA,X,INCX)
*
-* -- Reference BLAS level1 routine (version 3.4.0) --
+* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX,LDA,N
diff --git a/lib/linalg/dtrti2.f b/lib/linalg/dtrti2.f
index edf1b5b003..0a9d5b696c 100644
--- a/lib/linalg/dtrti2.f
+++ b/lib/linalg/dtrti2.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DTRTI2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dtrti2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dtrti2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dtrti2.f">
+*> Download DTRTI2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dtrti2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dtrti2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dtrti2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DTRTI2( UPLO, DIAG, N, A, LDA, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER DIAG, UPLO
* INTEGER INFO, LDA, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -98,22 +98,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
* =====================================================================
SUBROUTINE DTRTI2( UPLO, DIAG, N, A, LDA, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER DIAG, UPLO
diff --git a/lib/linalg/dtrtri.f b/lib/linalg/dtrtri.f
index 5d27ca56af..d34b40bcc0 100644
--- a/lib/linalg/dtrtri.f
+++ b/lib/linalg/dtrtri.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DTRTRI + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dtrtri.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dtrtri.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dtrtri.f">
+*> Download DTRTRI + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dtrtri.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dtrtri.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dtrtri.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DTRTRI( UPLO, DIAG, N, A, LDA, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER DIAG, UPLO
* INTEGER INFO, LDA, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -97,22 +97,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
* =====================================================================
SUBROUTINE DTRTRI( UPLO, DIAG, N, A, LDA, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER DIAG, UPLO
diff --git a/lib/linalg/dznrm2.f b/lib/linalg/dznrm2.f
index b5713a2bfa..e5a71d98f6 100644
--- a/lib/linalg/dznrm2.f
+++ b/lib/linalg/dznrm2.f
@@ -2,21 +2,21 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* DOUBLE PRECISION FUNCTION DZNRM2(N,X,INCX)
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX,N
* ..
* .. Array Arguments ..
* COMPLEX*16 X(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -29,15 +29,36 @@
*> DZNRM2 := sqrt( x**H*x )
*> \endverbatim
*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> number of elements in input vector(s)
+*> \endverbatim
+*>
+*> \param[in] X
+*> \verbatim
+*> X is COMPLEX*16 array, dimension (N)
+*> complex vector with N elements
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> storage spacing between elements of X
+*> \endverbatim
+*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup double_blas_level1
*
@@ -54,10 +75,10 @@
* =====================================================================
DOUBLE PRECISION FUNCTION DZNRM2(N,X,INCX)
*
-* -- Reference BLAS level1 routine (version 3.4.0) --
+* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX,N
diff --git a/lib/linalg/idamax.f b/lib/linalg/idamax.f
index 4233fcc273..17041680a4 100644
--- a/lib/linalg/idamax.f
+++ b/lib/linalg/idamax.f
@@ -2,39 +2,59 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* INTEGER FUNCTION IDAMAX(N,DX,INCX)
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX,N
* ..
* .. Array Arguments ..
* DOUBLE PRECISION DX(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
-*> IDAMAX finds the index of element having max. absolute value.
+*> IDAMAX finds the index of the first element having maximum absolute value.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> number of elements in input vector(s)
+*> \endverbatim
+*>
+*> \param[in] DX
+*> \verbatim
+*> DX is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> storage spacing between elements of SX
*> \endverbatim
*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup aux_blas
*
@@ -51,10 +71,10 @@
* =====================================================================
INTEGER FUNCTION IDAMAX(N,DX,INCX)
*
-* -- Reference BLAS level1 routine (version 3.4.0) --
+* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX,N
diff --git a/lib/linalg/ieeeck.f b/lib/linalg/ieeeck.f
index 132e436770..2655958b4a 100644
--- a/lib/linalg/ieeeck.f
+++ b/lib/linalg/ieeeck.f
@@ -2,29 +2,29 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download IEEECK + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ieeeck.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ieeeck.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ieeeck.f">
+*> Download IEEECK + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ieeeck.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ieeeck.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ieeeck.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* INTEGER FUNCTION IEEECK( ISPEC, ZERO, ONE )
-*
+*
* .. Scalar Arguments ..
* INTEGER ISPEC
* REAL ONE, ZERO
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -70,22 +70,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
* =====================================================================
INTEGER FUNCTION IEEECK( ISPEC, ZERO, ONE )
*
-* -- LAPACK auxiliary routine (version 3.4.0) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER ISPEC
diff --git a/lib/linalg/iladlc.f b/lib/linalg/iladlc.f
index b56387d320..c6476113d1 100644
--- a/lib/linalg/iladlc.f
+++ b/lib/linalg/iladlc.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ILADLC + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/iladlc.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/iladlc.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/iladlc.f">
+*> Download ILADLC + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/iladlc.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/iladlc.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/iladlc.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* INTEGER FUNCTION ILADLC( M, N, A, LDA )
-*
+*
* .. Scalar Arguments ..
* INTEGER M, N, LDA
* ..
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -66,22 +66,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
* =====================================================================
INTEGER FUNCTION ILADLC( M, N, A, LDA )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER M, N, LDA
diff --git a/lib/linalg/iladlr.f b/lib/linalg/iladlr.f
index fe155af075..e8951d86cc 100644
--- a/lib/linalg/iladlr.f
+++ b/lib/linalg/iladlr.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ILADLR + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/iladlr.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/iladlr.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/iladlr.f">
+*> Download ILADLR + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/iladlr.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/iladlr.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/iladlr.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* INTEGER FUNCTION ILADLR( M, N, A, LDA )
-*
+*
* .. Scalar Arguments ..
* INTEGER M, N, LDA
* ..
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -66,22 +66,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
* =====================================================================
INTEGER FUNCTION ILADLR( M, N, A, LDA )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER M, N, LDA
diff --git a/lib/linalg/ilaenv.f b/lib/linalg/ilaenv.f
index 867464de35..2be0581517 100644
--- a/lib/linalg/ilaenv.f
+++ b/lib/linalg/ilaenv.f
@@ -2,29 +2,29 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ILAENV + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ilaenv.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ilaenv.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ilaenv.f">
+*> Download ILAENV + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ilaenv.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ilaenv.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ilaenv.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* INTEGER FUNCTION ILAENV( ISPEC, NAME, OPTS, N1, N2, N3, N4 )
-*
+*
* .. Scalar Arguments ..
* CHARACTER*( * ) NAME, OPTS
* INTEGER ISPEC, N1, N2, N3, N4
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -82,7 +82,7 @@
*> =10: ieee NaN arithmetic can be trusted not to trap
*> =11: infinity arithmetic can be trusted not to trap
*> 12 <= ISPEC <= 16:
-*> xHSEQR or one of its subroutines,
+*> xHSEQR or related subroutines,
*> see IPARMQ for detailed explanation
*> \endverbatim
*>
@@ -127,14 +127,14 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
*> \par Further Details:
* =====================
@@ -162,10 +162,10 @@
* =====================================================================
INTEGER FUNCTION ILAENV( ISPEC, NAME, OPTS, N1, N2, N3, N4 )
*
-* -- LAPACK auxiliary routine (version 3.4.0) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER*( * ) NAME, OPTS
@@ -183,13 +183,14 @@
INTRINSIC CHAR, ICHAR, INT, MIN, REAL
* ..
* .. External Functions ..
- INTEGER IEEECK, IPARMQ
- EXTERNAL IEEECK, IPARMQ
+ INTEGER IEEECK, IPARMQ, IPARAM2STAGE
+ EXTERNAL IEEECK, IPARMQ, IPARAM2STAGE
* ..
* .. Executable Statements ..
*
GO TO ( 10, 10, 10, 80, 90, 100, 110, 120,
- $ 130, 140, 150, 160, 160, 160, 160, 160 )ISPEC
+ $ 130, 140, 150, 160, 160, 160, 160, 160,
+ $ 170, 170, 170, 170, 170 )ISPEC
*
* Invalid value for ISPEC
*
@@ -283,6 +284,52 @@
ELSE
NB = 32
END IF
+ ELSE IF( C3.EQ.'QR ') THEN
+ IF( N3 .EQ. 1) THEN
+ IF( SNAME ) THEN
+* M*N
+ IF ((N1*N2.LE.131072).OR.(N1.LE.8192)) THEN
+ NB = N1
+ ELSE
+ NB = 32768/N2
+ END IF
+ ELSE
+ IF ((N1*N2.LE.131072).OR.(N1.LE.8192)) THEN
+ NB = N1
+ ELSE
+ NB = 32768/N2
+ END IF
+ END IF
+ ELSE
+ IF( SNAME ) THEN
+ NB = 1
+ ELSE
+ NB = 1
+ END IF
+ END IF
+ ELSE IF( C3.EQ.'LQ ') THEN
+ IF( N3 .EQ. 2) THEN
+ IF( SNAME ) THEN
+* M*N
+ IF ((N1*N2.LE.131072).OR.(N1.LE.8192)) THEN
+ NB = N1
+ ELSE
+ NB = 32768/N2
+ END IF
+ ELSE
+ IF ((N1*N2.LE.131072).OR.(N1.LE.8192)) THEN
+ NB = N1
+ ELSE
+ NB = 32768/N2
+ END IF
+ END IF
+ ELSE
+ IF( SNAME ) THEN
+ NB = 1
+ ELSE
+ NB = 1
+ END IF
+ END IF
ELSE IF( C3.EQ.'HRD' ) THEN
IF( SNAME ) THEN
NB = 32
@@ -397,6 +444,12 @@
ELSE
NB = 64
END IF
+ ELSE IF ( C3.EQ.'EVC' ) THEN
+ IF( SNAME ) THEN
+ NB = 64
+ ELSE
+ NB = 64
+ END IF
END IF
ELSE IF( C2.EQ.'LA' ) THEN
IF( C3.EQ.'UUM' ) THEN
@@ -410,6 +463,15 @@
IF( C3.EQ.'EBZ' ) THEN
NB = 1
END IF
+ ELSE IF( C2.EQ.'GG' ) THEN
+ NB = 32
+ IF( C3.EQ.'HD3' ) THEN
+ IF( SNAME ) THEN
+ NB = 32
+ ELSE
+ NB = 32
+ END IF
+ END IF
END IF
ILAENV = NB
RETURN
@@ -488,6 +550,11 @@
NBMIN = 2
END IF
END IF
+ ELSE IF( C2.EQ.'GG' ) THEN
+ NBMIN = 2
+ IF( C3.EQ.'HD3' ) THEN
+ NBMIN = 2
+ END IF
END IF
ILAENV = NBMIN
RETURN
@@ -542,6 +609,11 @@
NX = 128
END IF
END IF
+ ELSE IF( C2.EQ.'GG' ) THEN
+ NX = 128
+ IF( C3.EQ.'HD3' ) THEN
+ NX = 128
+ END IF
END IF
ILAENV = NX
RETURN
@@ -614,10 +686,17 @@
*
160 CONTINUE
*
-* 12 <= ISPEC <= 16: xHSEQR or one of its subroutines.
+* 12 <= ISPEC <= 16: xHSEQR or related subroutines.
*
ILAENV = IPARMQ( ISPEC, NAME, OPTS, N1, N2, N3, N4 )
RETURN
+*
+ 170 CONTINUE
+*
+* 17 <= ISPEC <= 21: 2stage eigenvalues and SVD or related subroutines.
+*
+ ILAENV = IPARAM2STAGE( ISPEC, NAME, OPTS, N1, N2, N3, N4 )
+ RETURN
*
* End of ILAENV
*
diff --git a/lib/linalg/ilazlc.f b/lib/linalg/ilazlc.f
index 718b277dfa..07dfc93e31 100644
--- a/lib/linalg/ilazlc.f
+++ b/lib/linalg/ilazlc.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ILAZLC + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ilazlc.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ilazlc.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ilazlc.f">
+*> Download ILAZLC + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ilazlc.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ilazlc.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ilazlc.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* INTEGER FUNCTION ILAZLC( M, N, A, LDA )
-*
+*
* .. Scalar Arguments ..
* INTEGER M, N, LDA
* ..
* .. Array Arguments ..
* COMPLEX*16 A( LDA, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -66,22 +66,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup complex16OTHERauxiliary
*
* =====================================================================
INTEGER FUNCTION ILAZLC( M, N, A, LDA )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER M, N, LDA
diff --git a/lib/linalg/ilazlr.f b/lib/linalg/ilazlr.f
index 44697214c7..4ca4ed1a44 100644
--- a/lib/linalg/ilazlr.f
+++ b/lib/linalg/ilazlr.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ILAZLR + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ilazlr.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ilazlr.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ilazlr.f">
+*> Download ILAZLR + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ilazlr.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ilazlr.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ilazlr.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* INTEGER FUNCTION ILAZLR( M, N, A, LDA )
-*
+*
* .. Scalar Arguments ..
* INTEGER M, N, LDA
* ..
* .. Array Arguments ..
* COMPLEX*16 A( LDA, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -66,22 +66,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup complex16OTHERauxiliary
*
* =====================================================================
INTEGER FUNCTION ILAZLR( M, N, A, LDA )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER M, N, LDA
diff --git a/lib/linalg/iparam2stage.F b/lib/linalg/iparam2stage.F
new file mode 100644
index 0000000000..60bd0b696b
--- /dev/null
+++ b/lib/linalg/iparam2stage.F
@@ -0,0 +1,386 @@
+*> \brief \b IPARAM2STAGE
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download IPARAM2STAGE + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/iparam2stage.F">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/iparam2stage.F">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/iparam2stage.F">
+*> [TXT]</a>
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* INTEGER FUNCTION IPARAM2STAGE( ISPEC, NAME, OPTS,
+* NI, NBI, IBI, NXI )
+* #if defined(_OPENMP)
+* use omp_lib
+* #endif
+* IMPLICIT NONE
+*
+* .. Scalar Arguments ..
+* CHARACTER*( * ) NAME, OPTS
+* INTEGER ISPEC, NI, NBI, IBI, NXI
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> This program sets problem and machine dependent parameters
+*> useful for xHETRD_2STAGE, xHETRD_H@2HB, xHETRD_HB2ST,
+*> xGEBRD_2STAGE, xGEBRD_GE2GB, xGEBRD_GB2BD
+*> and related subroutines for eigenvalue problems.
+*> It is called whenever ILAENV is called with 17 <= ISPEC <= 21
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] ISPEC
+*> \verbatim
+*> ISPEC is integer scalar
+*> ISPEC specifies which tunable parameter IPARAM2STAGE should
+*> return.
+*>
+*> ISPEC=17: the optimal blocksize nb for the reduction to
+* BAND
+*>
+*> ISPEC=18: the optimal blocksize ib for the eigenvectors
+*> singular vectors update routine
+*>
+*> ISPEC=19: The length of the array that store the Housholder
+*> representation for the second stage
+*> Band to Tridiagonal or Bidiagonal
+*>
+*> ISPEC=20: The workspace needed for the routine in input.
+*>
+*> ISPEC=21: For future release.
+*> \endverbatim
+*>
+*> \param[in] NAME
+*> \verbatim
+*> NAME is character string
+*> Name of the calling subroutine
+*> \endverbatim
+*>
+*> \param[in] OPTS
+*> \verbatim
+*> OPTS is CHARACTER*(*)
+*> The character options to the subroutine NAME, concatenated
+*> into a single character string. For example, UPLO = 'U',
+*> TRANS = 'T', and DIAG = 'N' for a triangular routine would
+*> be specified as OPTS = 'UTN'.
+*> \endverbatim
+*>
+*> \param[in] NI
+*> \verbatim
+*> NI is INTEGER which is the size of the matrix
+*> \endverbatim
+*>
+*> \param[in] NBI
+*> \verbatim
+*> NBI is INTEGER which is the used in the reduciton,
+* (e.g., the size of the band), needed to compute workspace
+* and LHOUS2.
+*> \endverbatim
+*>
+*> \param[in] IBI
+*> \verbatim
+*> IBI is INTEGER which represent the IB of the reduciton,
+* needed to compute workspace and LHOUS2.
+*> \endverbatim
+*>
+*> \param[in] NXI
+*> \verbatim
+*> NXI is INTEGER needed in the future release.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date June 2016
+*
+*> \ingroup auxOTHERauxiliary
+*
+*> \par Further Details:
+* =====================
+*>
+*> \verbatim
+*>
+*> Implemented by Azzam Haidar.
+*>
+*> All detail are available on technical report, SC11, SC13 papers.
+*>
+*> Azzam Haidar, Hatem Ltaief, and Jack Dongarra.
+*> Parallel reduction to condensed forms for symmetric eigenvalue problems
+*> using aggregated fine-grained and memory-aware kernels. In Proceedings
+*> of 2011 International Conference for High Performance Computing,
+*> Networking, Storage and Analysis (SC '11), New York, NY, USA,
+*> Article 8 , 11 pages.
+*> http://doi.acm.org/10.1145/2063384.2063394
+*>
+*> A. Haidar, J. Kurzak, P. Luszczek, 2013.
+*> An improved parallel singular value algorithm and its implementation
+*> for multicore hardware, In Proceedings of 2013 International Conference
+*> for High Performance Computing, Networking, Storage and Analysis (SC '13).
+*> Denver, Colorado, USA, 2013.
+*> Article 90, 12 pages.
+*> http://doi.acm.org/10.1145/2503210.2503292
+*>
+*> A. Haidar, R. Solca, S. Tomov, T. Schulthess and J. Dongarra.
+*> A novel hybrid CPU-GPU generalized eigensolver for electronic structure
+*> calculations based on fine-grained memory aware tasks.
+*> International Journal of High Performance Computing Applications.
+*> Volume 28 Issue 2, Pages 196-209, May 2014.
+*> http://hpc.sagepub.com/content/28/2/196
+*>
+*> \endverbatim
+*>
+* =====================================================================
+ INTEGER FUNCTION IPARAM2STAGE( ISPEC, NAME, OPTS,
+ $ NI, NBI, IBI, NXI )
+#if defined(_OPENMP)
+ use omp_lib
+#endif
+ IMPLICIT NONE
+*
+* -- LAPACK auxiliary routine (version 3.7.0) --
+* -- LAPACK is a software package provided by Univ. of Tennessee, --
+* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+* June 2016
+*
+* .. Scalar Arguments ..
+ CHARACTER*( * ) NAME, OPTS
+ INTEGER ISPEC, NI, NBI, IBI, NXI
+*
+* ================================================================
+* ..
+* .. Local Scalars ..
+ INTEGER I, IC, IZ, KD, IB, LHOUS, LWORK, NTHREADS,
+ $ FACTOPTNB, QROPTNB, LQOPTNB
+ LOGICAL RPREC, CPREC
+ CHARACTER PREC*1, ALGO*3, STAG*5, SUBNAM*12, VECT*1
+* ..
+* .. Intrinsic Functions ..
+ INTRINSIC CHAR, ICHAR, MAX
+* ..
+* .. External Functions ..
+ INTEGER ILAENV
+ EXTERNAL ILAENV
+* ..
+* .. Executable Statements ..
+*
+* Invalid value for ISPEC
+*
+ IF( (ISPEC.LT.17).OR.(ISPEC.GT.21) ) THEN
+ IPARAM2STAGE = -1
+ RETURN
+ ENDIF
+*
+* Get the number of threads
+*
+ NTHREADS = 1
+#if defined(_OPENMP)
+!$OMP PARALLEL
+ NTHREADS = OMP_GET_NUM_THREADS()
+!$OMP END PARALLEL
+#endif
+* WRITE(*,*) 'IPARAM VOICI NTHREADS ISPEC ',NTHREADS, ISPEC
+*
+ IF( ISPEC .NE. 19 ) THEN
+*
+* Convert NAME to upper case if the first character is lower case.
+*
+ IPARAM2STAGE = -1
+ SUBNAM = NAME
+ IC = ICHAR( SUBNAM( 1: 1 ) )
+ IZ = ICHAR( 'Z' )
+ IF( IZ.EQ.90 .OR. IZ.EQ.122 ) THEN
+*
+* ASCII character set
+*
+ IF( IC.GE.97 .AND. IC.LE.122 ) THEN
+ SUBNAM( 1: 1 ) = CHAR( IC-32 )
+ DO 100 I = 2, 12
+ IC = ICHAR( SUBNAM( I: I ) )
+ IF( IC.GE.97 .AND. IC.LE.122 )
+ $ SUBNAM( I: I ) = CHAR( IC-32 )
+ 100 CONTINUE
+ END IF
+*
+ ELSE IF( IZ.EQ.233 .OR. IZ.EQ.169 ) THEN
+*
+* EBCDIC character set
+*
+ IF( ( IC.GE.129 .AND. IC.LE.137 ) .OR.
+ $ ( IC.GE.145 .AND. IC.LE.153 ) .OR.
+ $ ( IC.GE.162 .AND. IC.LE.169 ) ) THEN
+ SUBNAM( 1: 1 ) = CHAR( IC+64 )
+ DO 110 I = 2, 12
+ IC = ICHAR( SUBNAM( I: I ) )
+ IF( ( IC.GE.129 .AND. IC.LE.137 ) .OR.
+ $ ( IC.GE.145 .AND. IC.LE.153 ) .OR.
+ $ ( IC.GE.162 .AND. IC.LE.169 ) )SUBNAM( I:
+ $ I ) = CHAR( IC+64 )
+ 110 CONTINUE
+ END IF
+*
+ ELSE IF( IZ.EQ.218 .OR. IZ.EQ.250 ) THEN
+*
+* Prime machines: ASCII+128
+*
+ IF( IC.GE.225 .AND. IC.LE.250 ) THEN
+ SUBNAM( 1: 1 ) = CHAR( IC-32 )
+ DO 120 I = 2, 12
+ IC = ICHAR( SUBNAM( I: I ) )
+ IF( IC.GE.225 .AND. IC.LE.250 )
+ $ SUBNAM( I: I ) = CHAR( IC-32 )
+ 120 CONTINUE
+ END IF
+ END IF
+*
+ PREC = SUBNAM( 1: 1 )
+ ALGO = SUBNAM( 4: 6 )
+ STAG = SUBNAM( 8:12 )
+ RPREC = PREC.EQ.'S' .OR. PREC.EQ.'D'
+ CPREC = PREC.EQ.'C' .OR. PREC.EQ.'Z'
+*
+* Invalid value for PRECISION
+*
+ IF( .NOT.( RPREC .OR. CPREC ) ) THEN
+ IPARAM2STAGE = -1
+ RETURN
+ ENDIF
+ ENDIF
+* WRITE(*,*),'RPREC,CPREC ',RPREC,CPREC,
+* $ ' ALGO ',ALGO,' STAGE ',STAG
+*
+*
+ IF (( ISPEC .EQ. 17 ) .OR. ( ISPEC .EQ. 18 )) THEN
+*
+* ISPEC = 17, 18: block size KD, IB
+* Could be also dependent from N but for now it
+* depend only on sequential or parallel
+*
+ IF( NTHREADS.GT.4 ) THEN
+ IF( CPREC ) THEN
+ KD = 128
+ IB = 32
+ ELSE
+ KD = 160
+ IB = 40
+ ENDIF
+ ELSE IF( NTHREADS.GT.1 ) THEN
+ IF( CPREC ) THEN
+ KD = 64
+ IB = 32
+ ELSE
+ KD = 64
+ IB = 32
+ ENDIF
+ ELSE
+ IF( CPREC ) THEN
+ KD = 16
+ IB = 16
+ ELSE
+ KD = 32
+ IB = 16
+ ENDIF
+ ENDIF
+ IF( ISPEC.EQ.17 ) IPARAM2STAGE = KD
+ IF( ISPEC.EQ.18 ) IPARAM2STAGE = IB
+*
+ ELSE IF ( ISPEC .EQ. 19 ) THEN
+*
+* ISPEC = 19:
+* LHOUS length of the Houselholder representation
+* matrix (V,T) of the second stage. should be >= 1.
+*
+* Will add the VECT OPTION HERE next release
+ VECT = OPTS(1:1)
+ IF( VECT.EQ.'N' ) THEN
+ LHOUS = MAX( 1, 4*NI )
+ ELSE
+* This is not correct, it need to call the ALGO and the stage2
+ LHOUS = MAX( 1, 4*NI ) + IBI
+ ENDIF
+ IF( LHOUS.GE.0 ) THEN
+ IPARAM2STAGE = LHOUS
+ ELSE
+ IPARAM2STAGE = -1
+ ENDIF
+*
+ ELSE IF ( ISPEC .EQ. 20 ) THEN
+*
+* ISPEC = 20: (21 for future use)
+* LWORK length of the workspace for
+* either or both stages for TRD and BRD. should be >= 1.
+* TRD:
+* TRD_stage 1: = LT + LW + LS1 + LS2
+* = LDT*KD + N*KD + N*MAX(KD,FACTOPTNB) + LDS2*KD
+* where LDT=LDS2=KD
+* = N*KD + N*max(KD,FACTOPTNB) + 2*KD*KD
+* TRD_stage 2: = (2NB+1)*N + KD*NTHREADS
+* TRD_both : = max(stage1,stage2) + AB ( AB=(KD+1)*N )
+* = N*KD + N*max(KD+1,FACTOPTNB)
+* + max(2*KD*KD, KD*NTHREADS)
+* + (KD+1)*N
+ LWORK = -1
+ SUBNAM(1:1) = PREC
+ SUBNAM(2:6) = 'GEQRF'
+ QROPTNB = ILAENV( 1, SUBNAM, ' ', NI, NBI, -1, -1 )
+ SUBNAM(2:6) = 'GELQF'
+ LQOPTNB = ILAENV( 1, SUBNAM, ' ', NBI, NI, -1, -1 )
+* Could be QR or LQ for TRD and the max for BRD
+ FACTOPTNB = MAX(QROPTNB, LQOPTNB)
+ IF( ALGO.EQ.'TRD' ) THEN
+ IF( STAG.EQ.'2STAG' ) THEN
+ LWORK = NI*NBI + NI*MAX(NBI+1,FACTOPTNB)
+ $ + MAX(2*NBI*NBI, NBI*NTHREADS)
+ $ + (NBI+1)*NI
+ ELSE IF( (STAG.EQ.'HE2HB').OR.(STAG.EQ.'SY2SB') ) THEN
+ LWORK = NI*NBI + NI*MAX(NBI,FACTOPTNB) + 2*NBI*NBI
+ ELSE IF( (STAG.EQ.'HB2ST').OR.(STAG.EQ.'SB2ST') ) THEN
+ LWORK = (2*NBI+1)*NI + NBI*NTHREADS
+ ENDIF
+ ELSE IF( ALGO.EQ.'BRD' ) THEN
+ IF( STAG.EQ.'2STAG' ) THEN
+ LWORK = 2*NI*NBI + NI*MAX(NBI+1,FACTOPTNB)
+ $ + MAX(2*NBI*NBI, NBI*NTHREADS)
+ $ + (NBI+1)*NI
+ ELSE IF( STAG.EQ.'GE2GB' ) THEN
+ LWORK = NI*NBI + NI*MAX(NBI,FACTOPTNB) + 2*NBI*NBI
+ ELSE IF( STAG.EQ.'GB2BD' ) THEN
+ LWORK = (3*NBI+1)*NI + NBI*NTHREADS
+ ENDIF
+ ENDIF
+ LWORK = MAX ( 1, LWORK )
+
+ IF( LWORK.GT.0 ) THEN
+ IPARAM2STAGE = LWORK
+ ELSE
+ IPARAM2STAGE = -1
+ ENDIF
+*
+ ELSE IF ( ISPEC .EQ. 21 ) THEN
+*
+* ISPEC = 21 for future use
+ IPARAM2STAGE = NXI
+ ENDIF
+*
+* ==== End of IPARAM2STAGE ====
+*
+ END
diff --git a/lib/linalg/iparmq.f b/lib/linalg/iparmq.f
index bd5bd7a0db..e576e0db01 100644
--- a/lib/linalg/iparmq.f
+++ b/lib/linalg/iparmq.f
@@ -2,28 +2,28 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download IPARMQ + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/iparmq.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/iparmq.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/iparmq.f">
+*> Download IPARMQ + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/iparmq.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/iparmq.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/iparmq.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* INTEGER FUNCTION IPARMQ( ISPEC, NAME, OPTS, N, ILO, IHI, LWORK )
-*
+*
* .. Scalar Arguments ..
* INTEGER IHI, ILO, ISPEC, LWORK, N
* CHARACTER NAME*( * ), OPTS*( * )
-*
+*
*
*> \par Purpose:
* =============
@@ -31,8 +31,9 @@
*> \verbatim
*>
*> This program sets problem and machine dependent parameters
-*> useful for xHSEQR and its subroutines. It is called whenever
-*> ILAENV is called with 12 <= ISPEC <= 16
+*> useful for xHSEQR and related subroutines for eigenvalue
+*> problems. It is called whenever
+*> IPARMQ is called with 12 <= ISPEC <= 16
*> \endverbatim
*
* Arguments:
@@ -40,7 +41,7 @@
*
*> \param[in] ISPEC
*> \verbatim
-*> ISPEC is integer scalar
+*> ISPEC is INTEGER
*> ISPEC specifies which tunable parameter IPARMQ should
*> return.
*>
@@ -75,19 +76,26 @@
*>
*> ISPEC=16: (IACC22) IPARMQ is set to 0, 1 or 2 with the
*> following meanings.
-*> 0: During the multi-shift QR sweep,
-*> xLAQR5 does not accumulate reflections and
-*> does not use matrix-matrix multiply to
-*> update the far-from-diagonal matrix
-*> entries.
-*> 1: During the multi-shift QR sweep,
-*> xLAQR5 and/or xLAQRaccumulates reflections and uses
-*> matrix-matrix multiply to update the
+*> 0: During the multi-shift QR/QZ sweep,
+*> blocked eigenvalue reordering, blocked
+*> Hessenberg-triangular reduction,
+*> reflections and/or rotations are not
+*> accumulated when updating the
*> far-from-diagonal matrix entries.
-*> 2: During the multi-shift QR sweep.
-*> xLAQR5 accumulates reflections and takes
-*> advantage of 2-by-2 block structure during
-*> matrix-matrix multiplies.
+*> 1: During the multi-shift QR/QZ sweep,
+*> blocked eigenvalue reordering, blocked
+*> Hessenberg-triangular reduction,
+*> reflections and/or rotations are
+*> accumulated, and matrix-matrix
+*> multiplication is used to update the
+*> far-from-diagonal matrix entries.
+*> 2: During the multi-shift QR/QZ sweep,
+*> blocked eigenvalue reordering, blocked
+*> Hessenberg-triangular reduction,
+*> reflections and/or rotations are
+*> accumulated, and 2-by-2 block structure
+*> is exploited during matrix-matrix
+*> multiplies.
*> (If xTRMM is slower than xGEMM, then
*> IPARMQ(ISPEC=16)=1 may be more efficient than
*> IPARMQ(ISPEC=16)=2 despite the greater level of
@@ -109,7 +117,7 @@
*>
*> \param[in] N
*> \verbatim
-*> N is integer scalar
+*> N is INTEGER
*> N is the order of the Hessenberg matrix H.
*> \endverbatim
*>
@@ -127,21 +135,21 @@
*>
*> \param[in] LWORK
*> \verbatim
-*> LWORK is integer scalar
+*> LWORK is INTEGER
*> The amount of workspace available.
*> \endverbatim
*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date June 2017
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
*> \par Further Details:
* =====================
@@ -214,10 +222,10 @@
* =====================================================================
INTEGER FUNCTION IPARMQ( ISPEC, NAME, OPTS, N, ILO, IHI, LWORK )
*
-* -- LAPACK auxiliary routine (version 3.4.0) --
+* -- LAPACK auxiliary routine (version 3.7.1) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* June 2017
*
* .. Scalar Arguments ..
INTEGER IHI, ILO, ISPEC, LWORK, N
@@ -236,6 +244,8 @@
* ..
* .. Local Scalars ..
INTEGER NH, NS
+ INTEGER I, IC, IZ
+ CHARACTER SUBNAM*6
* ..
* .. Intrinsic Functions ..
INTRINSIC LOG, MAX, MOD, NINT, REAL
@@ -304,12 +314,75 @@
* . doing it. A small amount of work could be saved
* . by making this choice dependent also upon the
* . NH=IHI-ILO+1.
+*
+*
+* Convert NAME to upper case if the first character is lower case.
*
IPARMQ = 0
- IF( NS.GE.KACMIN )
- $ IPARMQ = 1
- IF( NS.GE.K22MIN )
- $ IPARMQ = 2
+ SUBNAM = NAME
+ IC = ICHAR( SUBNAM( 1: 1 ) )
+ IZ = ICHAR( 'Z' )
+ IF( IZ.EQ.90 .OR. IZ.EQ.122 ) THEN
+*
+* ASCII character set
+*
+ IF( IC.GE.97 .AND. IC.LE.122 ) THEN
+ SUBNAM( 1: 1 ) = CHAR( IC-32 )
+ DO I = 2, 6
+ IC = ICHAR( SUBNAM( I: I ) )
+ IF( IC.GE.97 .AND. IC.LE.122 )
+ $ SUBNAM( I: I ) = CHAR( IC-32 )
+ END DO
+ END IF
+*
+ ELSE IF( IZ.EQ.233 .OR. IZ.EQ.169 ) THEN
+*
+* EBCDIC character set
+*
+ IF( ( IC.GE.129 .AND. IC.LE.137 ) .OR.
+ $ ( IC.GE.145 .AND. IC.LE.153 ) .OR.
+ $ ( IC.GE.162 .AND. IC.LE.169 ) ) THEN
+ SUBNAM( 1: 1 ) = CHAR( IC+64 )
+ DO I = 2, 6
+ IC = ICHAR( SUBNAM( I: I ) )
+ IF( ( IC.GE.129 .AND. IC.LE.137 ) .OR.
+ $ ( IC.GE.145 .AND. IC.LE.153 ) .OR.
+ $ ( IC.GE.162 .AND. IC.LE.169 ) )SUBNAM( I:
+ $ I ) = CHAR( IC+64 )
+ END DO
+ END IF
+*
+ ELSE IF( IZ.EQ.218 .OR. IZ.EQ.250 ) THEN
+*
+* Prime machines: ASCII+128
+*
+ IF( IC.GE.225 .AND. IC.LE.250 ) THEN
+ SUBNAM( 1: 1 ) = CHAR( IC-32 )
+ DO I = 2, 6
+ IC = ICHAR( SUBNAM( I: I ) )
+ IF( IC.GE.225 .AND. IC.LE.250 )
+ $ SUBNAM( I: I ) = CHAR( IC-32 )
+ END DO
+ END IF
+ END IF
+*
+ IF( SUBNAM( 2:6 ).EQ.'GGHRD' .OR.
+ $ SUBNAM( 2:6 ).EQ.'GGHD3' ) THEN
+ IPARMQ = 1
+ IF( NH.GE.K22MIN )
+ $ IPARMQ = 2
+ ELSE IF ( SUBNAM( 4:6 ).EQ.'EXC' ) THEN
+ IF( NH.GE.KACMIN )
+ $ IPARMQ = 1
+ IF( NH.GE.K22MIN )
+ $ IPARMQ = 2
+ ELSE IF ( SUBNAM( 2:6 ).EQ.'HSEQR' .OR.
+ $ SUBNAM( 2:5 ).EQ.'LAQR' ) THEN
+ IF( NS.GE.KACMIN )
+ $ IPARMQ = 1
+ IF( NS.GE.K22MIN )
+ $ IPARMQ = 2
+ END IF
*
ELSE
* ===== invalid value of ispec =====
diff --git a/lib/linalg/lsame.f b/lib/linalg/lsame.f
index f19f9cda9e..d819478696 100644
--- a/lib/linalg/lsame.f
+++ b/lib/linalg/lsame.f
@@ -2,18 +2,18 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* LOGICAL FUNCTION LSAME(CA,CB)
-*
+*
* .. Scalar Arguments ..
* CHARACTER CA,CB
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -41,12 +41,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup aux_blas
*
@@ -56,7 +56,7 @@
* -- Reference BLAS level1 routine (version 3.1) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER CA,CB
diff --git a/lib/linalg/xerbla.f b/lib/linalg/xerbla.f
index 3e93bc4e0e..4a0350988c 100644
--- a/lib/linalg/xerbla.f
+++ b/lib/linalg/xerbla.f
@@ -2,29 +2,29 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download XERBLA + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/xerbla.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/xerbla.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/xerbla.f">
+*> Download XERBLA + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/xerbla.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/xerbla.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/xerbla.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE XERBLA( SRNAME, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER*(*) SRNAME
* INTEGER INFO
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -58,22 +58,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
-*> \ingroup auxOTHERauxiliary
+*> \ingroup OTHERauxiliary
*
* =====================================================================
SUBROUTINE XERBLA( SRNAME, INFO )
*
-* -- LAPACK auxiliary routine (version 3.4.0) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER*(*) SRNAME
diff --git a/lib/linalg/zaxpy.f b/lib/linalg/zaxpy.f
index e6f5e1f6db..b7b9ee69e4 100644
--- a/lib/linalg/zaxpy.f
+++ b/lib/linalg/zaxpy.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE ZAXPY(N,ZA,ZX,INCX,ZY,INCY)
-*
+*
* .. Scalar Arguments ..
* COMPLEX*16 ZA
* INTEGER INCX,INCY,N
@@ -17,7 +17,7 @@
* .. Array Arguments ..
* COMPLEX*16 ZX(*),ZY(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -27,15 +27,52 @@
*> ZAXPY constant times a vector plus a vector.
*> \endverbatim
*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> number of elements in input vector(s)
+*> \endverbatim
+*>
+*> \param[in] ZA
+*> \verbatim
+*> ZA is COMPLEX*16
+*> On entry, ZA specifies the scalar alpha.
+*> \endverbatim
+*>
+*> \param[in] ZX
+*> \verbatim
+*> ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> storage spacing between elements of ZX
+*> \endverbatim
+*>
+*> \param[in,out] ZY
+*> \verbatim
+*> ZY is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCY ) )
+*> \endverbatim
+*>
+*> \param[in] INCY
+*> \verbatim
+*> INCY is INTEGER
+*> storage spacing between elements of ZY
+*> \endverbatim
+*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16_blas_level1
*
@@ -51,10 +88,10 @@
* =====================================================================
SUBROUTINE ZAXPY(N,ZA,ZX,INCX,ZY,INCY)
*
-* -- Reference BLAS level1 routine (version 3.4.0) --
+* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
COMPLEX*16 ZA
diff --git a/lib/linalg/zcopy.f b/lib/linalg/zcopy.f
index baeafd5c3b..3777079730 100644
--- a/lib/linalg/zcopy.f
+++ b/lib/linalg/zcopy.f
@@ -2,21 +2,21 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE ZCOPY(N,ZX,INCX,ZY,INCY)
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX,INCY,N
* ..
* .. Array Arguments ..
* COMPLEX*16 ZX(*),ZY(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -26,15 +26,46 @@
*> ZCOPY copies a vector, x, to a vector, y.
*> \endverbatim
*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> number of elements in input vector(s)
+*> \endverbatim
+*>
+*> \param[in] ZX
+*> \verbatim
+*> ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> storage spacing between elements of ZX
+*> \endverbatim
+*>
+*> \param[out] ZY
+*> \verbatim
+*> ZY is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCY ) )
+*> \endverbatim
+*>
+*> \param[in] INCY
+*> \verbatim
+*> INCY is INTEGER
+*> storage spacing between elements of ZY
+*> \endverbatim
+*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16_blas_level1
*
@@ -50,10 +81,10 @@
* =====================================================================
SUBROUTINE ZCOPY(N,ZX,INCX,ZY,INCY)
*
-* -- Reference BLAS level1 routine (version 3.4.0) --
+* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX,INCY,N
diff --git a/lib/linalg/zdotc.f b/lib/linalg/zdotc.f
index 660648bbe1..e6cd11b21d 100644
--- a/lib/linalg/zdotc.f
+++ b/lib/linalg/zdotc.f
@@ -2,39 +2,72 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* COMPLEX*16 FUNCTION ZDOTC(N,ZX,INCX,ZY,INCY)
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX,INCY,N
* ..
* .. Array Arguments ..
* COMPLEX*16 ZX(*),ZY(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
-*> ZDOTC forms the dot product of a vector.
+*> ZDOTC forms the dot product of two complex vectors
+*> ZDOTC = X^H * Y
+*>
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> number of elements in input vector(s)
+*> \endverbatim
+*>
+*> \param[in] ZX
+*> \verbatim
+*> ZX is REAL array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> storage spacing between elements of ZX
+*> \endverbatim
+*>
+*> \param[in] ZY
+*> \verbatim
+*> ZY is REAL array, dimension ( 1 + ( N - 1 )*abs( INCY ) )
+*> \endverbatim
+*>
+*> \param[in] INCY
+*> \verbatim
+*> INCY is INTEGER
+*> storage spacing between elements of ZY
*> \endverbatim
*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16_blas_level1
*
@@ -50,10 +83,10 @@
* =====================================================================
COMPLEX*16 FUNCTION ZDOTC(N,ZX,INCX,ZY,INCY)
*
-* -- Reference BLAS level1 routine (version 3.4.0) --
+* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX,INCY,N
diff --git a/lib/linalg/zdscal.f b/lib/linalg/zdscal.f
index 57a9490237..71d4da55be 100644
--- a/lib/linalg/zdscal.f
+++ b/lib/linalg/zdscal.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE ZDSCAL(N,DA,ZX,INCX)
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION DA
* INTEGER INCX,N
@@ -17,7 +17,7 @@
* .. Array Arguments ..
* COMPLEX*16 ZX(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -27,15 +27,41 @@
*> ZDSCAL scales a vector by a constant.
*> \endverbatim
*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> number of elements in input vector(s)
+*> \endverbatim
+*>
+*> \param[in] DA
+*> \verbatim
+*> DA is DOUBLE PRECISION
+*> On entry, DA specifies the scalar alpha.
+*> \endverbatim
+*>
+*> \param[in,out] ZX
+*> \verbatim
+*> ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> storage spacing between elements of ZX
+*> \endverbatim
+*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16_blas_level1
*
@@ -52,10 +78,10 @@
* =====================================================================
SUBROUTINE ZDSCAL(N,DA,ZX,INCX)
*
-* -- Reference BLAS level1 routine (version 3.4.0) --
+* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION DA
diff --git a/lib/linalg/zgemm.f b/lib/linalg/zgemm.f
index f423315508..c3ac7551d1 100644
--- a/lib/linalg/zgemm.f
+++ b/lib/linalg/zgemm.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE ZGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
-*
+*
* .. Scalar Arguments ..
* COMPLEX*16 ALPHA,BETA
* INTEGER K,LDA,LDB,LDC,M,N
@@ -18,7 +18,7 @@
* .. Array Arguments ..
* COMPLEX*16 A(LDA,*),B(LDB,*),C(LDC,*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -97,7 +97,7 @@
*>
*> \param[in] A
*> \verbatim
-*> A is COMPLEX*16 array of DIMENSION ( LDA, ka ), where ka is
+*> A is COMPLEX*16 array, dimension ( LDA, ka ), where ka is
*> k when TRANSA = 'N' or 'n', and is m otherwise.
*> Before entry with TRANSA = 'N' or 'n', the leading m by k
*> part of the array A must contain the matrix A, otherwise
@@ -116,7 +116,7 @@
*>
*> \param[in] B
*> \verbatim
-*> B is COMPLEX*16 array of DIMENSION ( LDB, kb ), where kb is
+*> B is COMPLEX*16 array, dimension ( LDB, kb ), where kb is
*> n when TRANSB = 'N' or 'n', and is k otherwise.
*> Before entry with TRANSB = 'N' or 'n', the leading k by n
*> part of the array B must contain the matrix B, otherwise
@@ -142,7 +142,7 @@
*>
*> \param[in,out] C
*> \verbatim
-*> C is COMPLEX*16 array of DIMENSION ( LDC, n ).
+*> C is COMPLEX*16 array, dimension ( LDC, N )
*> Before entry, the leading m by n part of the array C must
*> contain the matrix C, except when beta is zero, in which
*> case C need not be set on entry.
@@ -161,12 +161,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16_blas_level3
*
@@ -187,10 +187,10 @@
* =====================================================================
SUBROUTINE ZGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
*
-* -- Reference BLAS level3 routine (version 3.4.0) --
+* -- Reference BLAS level3 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
COMPLEX*16 ALPHA,BETA
@@ -317,12 +317,10 @@
60 CONTINUE
END IF
DO 80 L = 1,K
- IF (B(L,J).NE.ZERO) THEN
- TEMP = ALPHA*B(L,J)
- DO 70 I = 1,M
- C(I,J) = C(I,J) + TEMP*A(I,L)
- 70 CONTINUE
- END IF
+ TEMP = ALPHA*B(L,J)
+ DO 70 I = 1,M
+ C(I,J) = C(I,J) + TEMP*A(I,L)
+ 70 CONTINUE
80 CONTINUE
90 CONTINUE
ELSE IF (CONJA) THEN
@@ -376,17 +374,15 @@
170 CONTINUE
END IF
DO 190 L = 1,K
- IF (B(J,L).NE.ZERO) THEN
- TEMP = ALPHA*DCONJG(B(J,L))
- DO 180 I = 1,M
- C(I,J) = C(I,J) + TEMP*A(I,L)
- 180 CONTINUE
- END IF
+ TEMP = ALPHA*DCONJG(B(J,L))
+ DO 180 I = 1,M
+ C(I,J) = C(I,J) + TEMP*A(I,L)
+ 180 CONTINUE
190 CONTINUE
200 CONTINUE
ELSE
*
-* Form C := alpha*A*B**T + beta*C
+* Form C := alpha*A*B**T + beta*C
*
DO 250 J = 1,N
IF (BETA.EQ.ZERO) THEN
@@ -399,12 +395,10 @@
220 CONTINUE
END IF
DO 240 L = 1,K
- IF (B(J,L).NE.ZERO) THEN
- TEMP = ALPHA*B(J,L)
- DO 230 I = 1,M
- C(I,J) = C(I,J) + TEMP*A(I,L)
- 230 CONTINUE
- END IF
+ TEMP = ALPHA*B(J,L)
+ DO 230 I = 1,M
+ C(I,J) = C(I,J) + TEMP*A(I,L)
+ 230 CONTINUE
240 CONTINUE
250 CONTINUE
END IF
diff --git a/lib/linalg/zgemv.f b/lib/linalg/zgemv.f
index 4e174c956c..7088d383f4 100644
--- a/lib/linalg/zgemv.f
+++ b/lib/linalg/zgemv.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE ZGEMV(TRANS,M,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
-*
+*
* .. Scalar Arguments ..
* COMPLEX*16 ALPHA,BETA
* INTEGER INCX,INCY,LDA,M,N
@@ -18,7 +18,7 @@
* .. Array Arguments ..
* COMPLEX*16 A(LDA,*),X(*),Y(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -73,7 +73,7 @@
*>
*> \param[in] A
*> \verbatim
-*> A is COMPLEX*16 array of DIMENSION ( LDA, n ).
+*> A is COMPLEX*16 array, dimension ( LDA, N )
*> Before entry, the leading m by n part of the array A must
*> contain the matrix of coefficients.
*> \endverbatim
@@ -88,7 +88,7 @@
*>
*> \param[in] X
*> \verbatim
-*> X is COMPLEX*16 array of DIMENSION at least
+*> X is COMPLEX*16 array, dimension at least
*> ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n'
*> and at least
*> ( 1 + ( m - 1 )*abs( INCX ) ) otherwise.
@@ -112,7 +112,7 @@
*>
*> \param[in,out] Y
*> \verbatim
-*> Y is COMPLEX*16 array of DIMENSION at least
+*> Y is COMPLEX*16 array, dimension at least
*> ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n'
*> and at least
*> ( 1 + ( n - 1 )*abs( INCY ) ) otherwise.
@@ -131,12 +131,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16_blas_level2
*
@@ -158,10 +158,10 @@
* =====================================================================
SUBROUTINE ZGEMV(TRANS,M,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
*
-* -- Reference BLAS level2 routine (version 3.4.0) --
+* -- Reference BLAS level2 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
COMPLEX*16 ALPHA,BETA
@@ -285,24 +285,20 @@
JX = KX
IF (INCY.EQ.1) THEN
DO 60 J = 1,N
- IF (X(JX).NE.ZERO) THEN
- TEMP = ALPHA*X(JX)
- DO 50 I = 1,M
- Y(I) = Y(I) + TEMP*A(I,J)
- 50 CONTINUE
- END IF
+ TEMP = ALPHA*X(JX)
+ DO 50 I = 1,M
+ Y(I) = Y(I) + TEMP*A(I,J)
+ 50 CONTINUE
JX = JX + INCX
60 CONTINUE
ELSE
DO 80 J = 1,N
- IF (X(JX).NE.ZERO) THEN
- TEMP = ALPHA*X(JX)
- IY = KY
- DO 70 I = 1,M
- Y(IY) = Y(IY) + TEMP*A(I,J)
- IY = IY + INCY
- 70 CONTINUE
- END IF
+ TEMP = ALPHA*X(JX)
+ IY = KY
+ DO 70 I = 1,M
+ Y(IY) = Y(IY) + TEMP*A(I,J)
+ IY = IY + INCY
+ 70 CONTINUE
JX = JX + INCX
80 CONTINUE
END IF
diff --git a/lib/linalg/zgerc.f b/lib/linalg/zgerc.f
index accfeafc05..058dccfc1c 100644
--- a/lib/linalg/zgerc.f
+++ b/lib/linalg/zgerc.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE ZGERC(M,N,ALPHA,X,INCX,Y,INCY,A,LDA)
-*
+*
* .. Scalar Arguments ..
* COMPLEX*16 ALPHA
* INTEGER INCX,INCY,LDA,M,N
@@ -17,7 +17,7 @@
* .. Array Arguments ..
* COMPLEX*16 A(LDA,*),X(*),Y(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -57,7 +57,7 @@
*>
*> \param[in] X
*> \verbatim
-*> X is COMPLEX*16 array of dimension at least
+*> X is COMPLEX*16 array, dimension at least
*> ( 1 + ( m - 1 )*abs( INCX ) ).
*> Before entry, the incremented array X must contain the m
*> element vector x.
@@ -72,7 +72,7 @@
*>
*> \param[in] Y
*> \verbatim
-*> Y is COMPLEX*16 array of dimension at least
+*> Y is COMPLEX*16 array, dimension at least
*> ( 1 + ( n - 1 )*abs( INCY ) ).
*> Before entry, the incremented array Y must contain the n
*> element vector y.
@@ -87,7 +87,7 @@
*>
*> \param[in,out] A
*> \verbatim
-*> A is COMPLEX*16 array of DIMENSION ( LDA, n ).
+*> A is COMPLEX*16 array, dimension ( LDA, N )
*> Before entry, the leading m by n part of the array A must
*> contain the matrix of coefficients. On exit, A is
*> overwritten by the updated matrix.
@@ -104,12 +104,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16_blas_level2
*
@@ -130,10 +130,10 @@
* =====================================================================
SUBROUTINE ZGERC(M,N,ALPHA,X,INCX,Y,INCY,A,LDA)
*
-* -- Reference BLAS level2 routine (version 3.4.0) --
+* -- Reference BLAS level2 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
COMPLEX*16 ALPHA
diff --git a/lib/linalg/zheev.f b/lib/linalg/zheev.f
index adba990f0a..3e87778740 100644
--- a/lib/linalg/zheev.f
+++ b/lib/linalg/zheev.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZHEEV + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zheev.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zheev.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zheev.f">
+*> Download ZHEEV + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zheev.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zheev.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zheev.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZHEEV( JOBZ, UPLO, N, A, LDA, W, WORK, LWORK, RWORK,
* INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER JOBZ, UPLO
* INTEGER INFO, LDA, LWORK, N
@@ -29,7 +29,7 @@
* DOUBLE PRECISION RWORK( * ), W( * )
* COMPLEX*16 A( LDA, * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -127,12 +127,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16HEeigen
*
@@ -140,10 +140,10 @@
SUBROUTINE ZHEEV( JOBZ, UPLO, N, A, LDA, W, WORK, LWORK, RWORK,
$ INFO )
*
-* -- LAPACK driver routine (version 3.4.0) --
+* -- LAPACK driver routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER JOBZ, UPLO
diff --git a/lib/linalg/zhemv.f b/lib/linalg/zhemv.f
index 34216fbfff..3ea0753f40 100644
--- a/lib/linalg/zhemv.f
+++ b/lib/linalg/zhemv.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE ZHEMV(UPLO,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
-*
+*
* .. Scalar Arguments ..
* COMPLEX*16 ALPHA,BETA
* INTEGER INCX,INCY,LDA,N
@@ -18,7 +18,7 @@
* .. Array Arguments ..
* COMPLEX*16 A(LDA,*),X(*),Y(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -65,7 +65,7 @@
*>
*> \param[in] A
*> \verbatim
-*> A is COMPLEX*16 array of DIMENSION ( LDA, n ).
+*> A is COMPLEX*16 array, dimension ( LDA, N )
*> Before entry with UPLO = 'U' or 'u', the leading n by n
*> upper triangular part of the array A must contain the upper
*> triangular part of the hermitian matrix and the strictly
@@ -88,7 +88,7 @@
*>
*> \param[in] X
*> \verbatim
-*> X is COMPLEX*16 array of dimension at least
+*> X is COMPLEX*16 array, dimension at least
*> ( 1 + ( n - 1 )*abs( INCX ) ).
*> Before entry, the incremented array X must contain the n
*> element vector x.
@@ -110,7 +110,7 @@
*>
*> \param[in,out] Y
*> \verbatim
-*> Y is COMPLEX*16 array of dimension at least
+*> Y is COMPLEX*16 array, dimension at least
*> ( 1 + ( n - 1 )*abs( INCY ) ).
*> Before entry, the incremented array Y must contain the n
*> element vector y. On exit, Y is overwritten by the updated
@@ -127,12 +127,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16_blas_level2
*
@@ -154,10 +154,10 @@
* =====================================================================
SUBROUTINE ZHEMV(UPLO,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
*
-* -- Reference BLAS level2 routine (version 3.4.0) --
+* -- Reference BLAS level2 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
COMPLEX*16 ALPHA,BETA
diff --git a/lib/linalg/zher2.f b/lib/linalg/zher2.f
index e2a02c3c68..e3a383189d 100644
--- a/lib/linalg/zher2.f
+++ b/lib/linalg/zher2.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE ZHER2(UPLO,N,ALPHA,X,INCX,Y,INCY,A,LDA)
-*
+*
* .. Scalar Arguments ..
* COMPLEX*16 ALPHA
* INTEGER INCX,INCY,LDA,N
@@ -18,7 +18,7 @@
* .. Array Arguments ..
* COMPLEX*16 A(LDA,*),X(*),Y(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -65,7 +65,7 @@
*>
*> \param[in] X
*> \verbatim
-*> X is COMPLEX*16 array of dimension at least
+*> X is COMPLEX*16 array, dimension at least
*> ( 1 + ( n - 1 )*abs( INCX ) ).
*> Before entry, the incremented array X must contain the n
*> element vector x.
@@ -80,7 +80,7 @@
*>
*> \param[in] Y
*> \verbatim
-*> Y is COMPLEX*16 array of dimension at least
+*> Y is COMPLEX*16 array, dimension at least
*> ( 1 + ( n - 1 )*abs( INCY ) ).
*> Before entry, the incremented array Y must contain the n
*> element vector y.
@@ -95,7 +95,7 @@
*>
*> \param[in,out] A
*> \verbatim
-*> A is COMPLEX*16 array of DIMENSION ( LDA, n ).
+*> A is COMPLEX*16 array, dimension ( LDA, N )
*> Before entry with UPLO = 'U' or 'u', the leading n by n
*> upper triangular part of the array A must contain the upper
*> triangular part of the hermitian matrix and the strictly
@@ -124,12 +124,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16_blas_level2
*
@@ -150,10 +150,10 @@
* =====================================================================
SUBROUTINE ZHER2(UPLO,N,ALPHA,X,INCX,Y,INCY,A,LDA)
*
-* -- Reference BLAS level2 routine (version 3.4.0) --
+* -- Reference BLAS level2 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
COMPLEX*16 ALPHA
diff --git a/lib/linalg/zher2k.f b/lib/linalg/zher2k.f
index 0b91bd2cbb..474c65e575 100644
--- a/lib/linalg/zher2k.f
+++ b/lib/linalg/zher2k.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE ZHER2K(UPLO,TRANS,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
-*
+*
* .. Scalar Arguments ..
* COMPLEX*16 ALPHA
* DOUBLE PRECISION BETA
@@ -19,7 +19,7 @@
* .. Array Arguments ..
* COMPLEX*16 A(LDA,*),B(LDB,*),C(LDC,*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -95,7 +95,7 @@
*>
*> \param[in] A
*> \verbatim
-*> A is COMPLEX*16 array of DIMENSION ( LDA, ka ), where ka is
+*> A is COMPLEX*16 array, dimension ( LDA, ka ), where ka is
*> k when TRANS = 'N' or 'n', and is n otherwise.
*> Before entry with TRANS = 'N' or 'n', the leading n by k
*> part of the array A must contain the matrix A, otherwise
@@ -114,7 +114,7 @@
*>
*> \param[in] B
*> \verbatim
-*> B is COMPLEX*16 array of DIMENSION ( LDB, kb ), where kb is
+*> B is COMPLEX*16 array, dimension ( LDB, kb ), where kb is
*> k when TRANS = 'N' or 'n', and is n otherwise.
*> Before entry with TRANS = 'N' or 'n', the leading n by k
*> part of the array B must contain the matrix B, otherwise
@@ -140,7 +140,7 @@
*>
*> \param[in,out] C
*> \verbatim
-*> C is COMPLEX*16 array of DIMENSION ( LDC, n ).
+*> C is COMPLEX*16 array, dimension ( LDC, N )
*> Before entry with UPLO = 'U' or 'u', the leading n by n
*> upper triangular part of the array C must contain the upper
*> triangular part of the hermitian matrix and the strictly
@@ -169,12 +169,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16_blas_level3
*
@@ -198,10 +198,10 @@
* =====================================================================
SUBROUTINE ZHER2K(UPLO,TRANS,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
*
-* -- Reference BLAS level3 routine (version 3.4.0) --
+* -- Reference BLAS level3 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
COMPLEX*16 ALPHA
diff --git a/lib/linalg/zhetd2.f b/lib/linalg/zhetd2.f
index dd8f9cf014..6c5b8aae3d 100644
--- a/lib/linalg/zhetd2.f
+++ b/lib/linalg/zhetd2.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZHETD2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zhetd2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zhetd2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zhetd2.f">
+*> Download ZHETD2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zhetd2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zhetd2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zhetd2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZHETD2( UPLO, N, A, LDA, D, E, TAU, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER INFO, LDA, N
@@ -28,7 +28,7 @@
* DOUBLE PRECISION D( * ), E( * )
* COMPLEX*16 A( LDA, * ), TAU( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -117,12 +117,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup complex16HEcomputational
*
@@ -175,10 +175,10 @@
* =====================================================================
SUBROUTINE ZHETD2( UPLO, N, A, LDA, D, E, TAU, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
diff --git a/lib/linalg/zhetrd.f b/lib/linalg/zhetrd.f
index c607484637..51c9fc2ec9 100644
--- a/lib/linalg/zhetrd.f
+++ b/lib/linalg/zhetrd.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZHETRD + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zhetrd.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zhetrd.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zhetrd.f">
+*> Download ZHETRD + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zhetrd.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zhetrd.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zhetrd.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZHETRD( UPLO, N, A, LDA, D, E, TAU, WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER INFO, LDA, LWORK, N
@@ -28,7 +28,7 @@
* DOUBLE PRECISION D( * ), E( * )
* COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -134,12 +134,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16HEcomputational
*
@@ -192,10 +192,10 @@
* =====================================================================
SUBROUTINE ZHETRD( UPLO, N, A, LDA, D, E, TAU, WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
diff --git a/lib/linalg/zhpr.f b/lib/linalg/zhpr.f
index 42e61196ba..af82dfbd8c 100644
--- a/lib/linalg/zhpr.f
+++ b/lib/linalg/zhpr.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE ZHPR(UPLO,N,ALPHA,X,INCX,AP)
-*
+*
* .. Scalar Arguments ..
* DOUBLE PRECISION ALPHA
* INTEGER INCX,N
@@ -18,7 +18,7 @@
* .. Array Arguments ..
* COMPLEX*16 AP(*),X(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -65,7 +65,7 @@
*>
*> \param[in] X
*> \verbatim
-*> X is COMPLEX*16 array of dimension at least
+*> X is COMPLEX*16 array, dimension at least
*> ( 1 + ( n - 1 )*abs( INCX ) ).
*> Before entry, the incremented array X must contain the n
*> element vector x.
@@ -80,7 +80,7 @@
*>
*> \param[in,out] AP
*> \verbatim
-*> AP is COMPLEX*16 array of DIMENSION at least
+*> AP is COMPLEX*16 array, dimension at least
*> ( ( n*( n + 1 ) )/2 ).
*> Before entry with UPLO = 'U' or 'u', the array AP must
*> contain the upper triangular part of the hermitian matrix
@@ -104,12 +104,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16_blas_level2
*
@@ -130,10 +130,10 @@
* =====================================================================
SUBROUTINE ZHPR(UPLO,N,ALPHA,X,INCX,AP)
*
-* -- Reference BLAS level2 routine (version 3.4.0) --
+* -- Reference BLAS level2 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
DOUBLE PRECISION ALPHA
diff --git a/lib/linalg/zlacgv.f b/lib/linalg/zlacgv.f
index 315c4de5ce..1e3ca6e73f 100644
--- a/lib/linalg/zlacgv.f
+++ b/lib/linalg/zlacgv.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZLACGV + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlacgv.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlacgv.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlacgv.f">
+*> Download ZLACGV + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlacgv.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlacgv.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlacgv.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZLACGV( N, X, INCX )
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX, N
* ..
* .. Array Arguments ..
* COMPLEX*16 X( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -62,22 +62,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup complex16OTHERauxiliary
*
* =====================================================================
SUBROUTINE ZLACGV( N, X, INCX )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX, N
diff --git a/lib/linalg/zladiv.f b/lib/linalg/zladiv.f
index 8f01fe3e63..0bf6ea87d5 100644
--- a/lib/linalg/zladiv.f
+++ b/lib/linalg/zladiv.f
@@ -2,28 +2,28 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZLADIV + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zladiv.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zladiv.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zladiv.f">
+*> Download ZLADIV + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zladiv.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zladiv.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zladiv.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* COMPLEX*16 FUNCTION ZLADIV( X, Y )
-*
+*
* .. Scalar Arguments ..
* COMPLEX*16 X, Y
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -52,22 +52,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup complex16OTHERauxiliary
*
* =====================================================================
COMPLEX*16 FUNCTION ZLADIV( X, Y )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
COMPLEX*16 X, Y
diff --git a/lib/linalg/zlanhe.f b/lib/linalg/zlanhe.f
index 3093a151af..7c7f7f3be4 100644
--- a/lib/linalg/zlanhe.f
+++ b/lib/linalg/zlanhe.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZLANHE + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlanhe.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlanhe.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlanhe.f">
+*> Download ZLANHE + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlanhe.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlanhe.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlanhe.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* DOUBLE PRECISION FUNCTION ZLANHE( NORM, UPLO, N, A, LDA, WORK )
-*
+*
* .. Scalar Arguments ..
* CHARACTER NORM, UPLO
* INTEGER LDA, N
@@ -28,7 +28,7 @@
* DOUBLE PRECISION WORK( * )
* COMPLEX*16 A( LDA, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -112,22 +112,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup complex16HEauxiliary
*
* =====================================================================
DOUBLE PRECISION FUNCTION ZLANHE( NORM, UPLO, N, A, LDA, WORK )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER NORM, UPLO
diff --git a/lib/linalg/zlarf.f b/lib/linalg/zlarf.f
index f51e1d7383..f1be80d37b 100644
--- a/lib/linalg/zlarf.f
+++ b/lib/linalg/zlarf.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZLARF + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlarf.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlarf.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlarf.f">
+*> Download ZLARF + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlarf.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlarf.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlarf.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZLARF( SIDE, M, N, V, INCV, TAU, C, LDC, WORK )
-*
+*
* .. Scalar Arguments ..
* CHARACTER SIDE
* INTEGER INCV, LDC, M, N
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* COMPLEX*16 C( LDC, * ), V( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -116,22 +116,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup complex16OTHERauxiliary
*
* =====================================================================
SUBROUTINE ZLARF( SIDE, M, N, V, INCV, TAU, C, LDC, WORK )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER SIDE
diff --git a/lib/linalg/zlarfb.f b/lib/linalg/zlarfb.f
index 99490f5827..b4a2b4d1a0 100644
--- a/lib/linalg/zlarfb.f
+++ b/lib/linalg/zlarfb.f
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZLARFB + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlarfb.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlarfb.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlarfb.f">
+*> Download ZLARFB + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlarfb.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlarfb.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlarfb.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
* T, LDT, C, LDC, WORK, LDWORK )
-*
+*
* .. Scalar Arguments ..
* CHARACTER DIRECT, SIDE, STOREV, TRANS
* INTEGER K, LDC, LDT, LDV, LDWORK, M, N
@@ -29,7 +29,7 @@
* COMPLEX*16 C( LDC, * ), T( LDT, * ), V( LDV, * ),
* $ WORK( LDWORK, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -154,12 +154,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2013
*
*> \ingroup complex16OTHERauxiliary
*
@@ -195,10 +195,10 @@
SUBROUTINE ZLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
$ T, LDT, C, LDC, WORK, LDWORK )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2013
*
* .. Scalar Arguments ..
CHARACTER DIRECT, SIDE, STOREV, TRANS
@@ -217,12 +217,11 @@
* ..
* .. Local Scalars ..
CHARACTER TRANST
- INTEGER I, J, LASTV, LASTC
+ INTEGER I, J
* ..
* .. External Functions ..
LOGICAL LSAME
- INTEGER ILAZLR, ILAZLC
- EXTERNAL LSAME, ILAZLR, ILAZLC
+ EXTERNAL LSAME
* ..
* .. External Subroutines ..
EXTERNAL ZCOPY, ZGEMM, ZLACGV, ZTRMM
@@ -255,36 +254,33 @@
*
* Form H * C or H**H * C where C = ( C1 )
* ( C2 )
-*
- LASTV = MAX( K, ILAZLR( M, K, V, LDV ) )
- LASTC = ILAZLC( LASTV, N, C, LDC )
*
* W := C**H * V = (C1**H * V1 + C2**H * V2) (stored in WORK)
*
* W := C1**H
*
DO 10 J = 1, K
- CALL ZCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 )
- CALL ZLACGV( LASTC, WORK( 1, J ), 1 )
+ CALL ZCOPY( N, C( J, 1 ), LDC, WORK( 1, J ), 1 )
+ CALL ZLACGV( N, WORK( 1, J ), 1 )
10 CONTINUE
*
* W := W * V1
*
- CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit', N,
+ $ K, ONE, V, LDV, WORK, LDWORK )
+ IF( M.GT.K ) THEN
*
-* W := W + C2**H *V2
+* W := W + C2**H * V2
*
- CALL ZGEMM( 'Conjugate transpose', 'No transpose',
- $ LASTC, K, LASTV-K, ONE, C( K+1, 1 ), LDC,
- $ V( K+1, 1 ), LDV, ONE, WORK, LDWORK )
+ CALL ZGEMM( 'Conjugate transpose', 'No transpose', N,
+ $ K, M-K, ONE, C( K+1, 1 ), LDC,
+ $ V( K+1, 1 ), LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T**H or W * T
*
- CALL ZTRMM( 'Right', 'Upper', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Upper', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V * W**H
*
@@ -293,20 +289,19 @@
* C2 := C2 - V2 * W**H
*
CALL ZGEMM( 'No transpose', 'Conjugate transpose',
- $ LASTV-K, LASTC, K,
- $ -ONE, V( K+1, 1 ), LDV, WORK, LDWORK,
- $ ONE, C( K+1, 1 ), LDC )
+ $ M-K, N, K, -ONE, V( K+1, 1 ), LDV, WORK,
+ $ LDWORK, ONE, C( K+1, 1 ), LDC )
END IF
*
* W := W * V1**H
*
CALL ZTRMM( 'Right', 'Lower', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ $ 'Unit', N, K, ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W**H
*
DO 30 J = 1, K
- DO 20 I = 1, LASTC
+ DO 20 I = 1, N
C( J, I ) = C( J, I ) - DCONJG( WORK( I, J ) )
20 CONTINUE
30 CONTINUE
@@ -314,58 +309,53 @@
ELSE IF( LSAME( SIDE, 'R' ) ) THEN
*
* Form C * H or C * H**H where C = ( C1 C2 )
-*
- LASTV = MAX( K, ILAZLR( N, K, V, LDV ) )
- LASTC = ILAZLR( M, LASTV, C, LDC )
*
* W := C * V = (C1*V1 + C2*V2) (stored in WORK)
*
* W := C1
*
DO 40 J = 1, K
- CALL ZCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 )
+ CALL ZCOPY( M, C( 1, J ), 1, WORK( 1, J ), 1 )
40 CONTINUE
*
* W := W * V1
*
- CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit', M,
+ $ K, ONE, V, LDV, WORK, LDWORK )
+ IF( N.GT.K ) THEN
*
* W := W + C2 * V2
*
- CALL ZGEMM( 'No transpose', 'No transpose',
- $ LASTC, K, LASTV-K,
- $ ONE, C( 1, K+1 ), LDC, V( K+1, 1 ), LDV,
- $ ONE, WORK, LDWORK )
+ CALL ZGEMM( 'No transpose', 'No transpose', M, K, N-K,
+ $ ONE, C( 1, K+1 ), LDC, V( K+1, 1 ), LDV,
+ $ ONE, WORK, LDWORK )
END IF
*
* W := W * T or W * T**H
*
- CALL ZTRMM( 'Right', 'Upper', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Upper', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V**H
*
- IF( LASTV.GT.K ) THEN
+ IF( N.GT.K ) THEN
*
* C2 := C2 - W * V2**H
*
- CALL ZGEMM( 'No transpose', 'Conjugate transpose',
- $ LASTC, LASTV-K, K,
- $ -ONE, WORK, LDWORK, V( K+1, 1 ), LDV,
- $ ONE, C( 1, K+1 ), LDC )
+ CALL ZGEMM( 'No transpose', 'Conjugate transpose', M,
+ $ N-K, K, -ONE, WORK, LDWORK, V( K+1, 1 ),
+ $ LDV, ONE, C( 1, K+1 ), LDC )
END IF
*
* W := W * V1**H
*
CALL ZTRMM( 'Right', 'Lower', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ $ 'Unit', M, K, ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W
*
DO 60 J = 1, K
- DO 50 I = 1, LASTC
+ DO 50 I = 1, M
C( I, J ) = C( I, J ) - WORK( I, J )
50 CONTINUE
60 CONTINUE
@@ -381,38 +371,33 @@
*
* Form H * C or H**H * C where C = ( C1 )
* ( C2 )
-*
- LASTC = ILAZLC( M, N, C, LDC )
*
* W := C**H * V = (C1**H * V1 + C2**H * V2) (stored in WORK)
*
* W := C2**H
*
DO 70 J = 1, K
- CALL ZCOPY( LASTC, C( M-K+J, 1 ), LDC,
- $ WORK( 1, J ), 1 )
- CALL ZLACGV( LASTC, WORK( 1, J ), 1 )
+ CALL ZCOPY( N, C( M-K+J, 1 ), LDC, WORK( 1, J ), 1 )
+ CALL ZLACGV( N, WORK( 1, J ), 1 )
70 CONTINUE
*
* W := W * V2
*
- CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( M-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit', N,
+ $ K, ONE, V( M-K+1, 1 ), LDV, WORK, LDWORK )
IF( M.GT.K ) THEN
*
-* W := W + C1**H*V1
+* W := W + C1**H * V1
*
- CALL ZGEMM( 'Conjugate transpose', 'No transpose',
- $ LASTC, K, M-K,
- $ ONE, C, LDC, V, LDV,
- $ ONE, WORK, LDWORK )
+ CALL ZGEMM( 'Conjugate transpose', 'No transpose', N,
+ $ K, M-K, ONE, C, LDC, V, LDV, ONE, WORK,
+ $ LDWORK )
END IF
*
* W := W * T**H or W * T
*
- CALL ZTRMM( 'Right', 'Lower', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Lower', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V * W**H
*
@@ -421,21 +406,20 @@
* C1 := C1 - V1 * W**H
*
CALL ZGEMM( 'No transpose', 'Conjugate transpose',
- $ M-K, LASTC, K,
- $ -ONE, V, LDV, WORK, LDWORK,
- $ ONE, C, LDC )
+ $ M-K, N, K, -ONE, V, LDV, WORK, LDWORK,
+ $ ONE, C, LDC )
END IF
*
* W := W * V2**H
*
CALL ZTRMM( 'Right', 'Upper', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V( M-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ $ 'Unit', N, K, ONE, V( M-K+1, 1 ), LDV, WORK,
+ $ LDWORK )
*
* C2 := C2 - W**H
*
DO 90 J = 1, K
- DO 80 I = 1, LASTC
+ DO 80 I = 1, N
C( M-K+J, I ) = C( M-K+J, I ) -
$ DCONJG( WORK( I, J ) )
80 CONTINUE
@@ -444,36 +428,31 @@
ELSE IF( LSAME( SIDE, 'R' ) ) THEN
*
* Form C * H or C * H**H where C = ( C1 C2 )
-*
- LASTC = ILAZLR( M, N, C, LDC )
*
* W := C * V = (C1*V1 + C2*V2) (stored in WORK)
*
* W := C2
*
DO 100 J = 1, K
- CALL ZCOPY( LASTC, C( 1, N-K+J ), 1,
- $ WORK( 1, J ), 1 )
+ CALL ZCOPY( M, C( 1, N-K+J ), 1, WORK( 1, J ), 1 )
100 CONTINUE
*
* W := W * V2
*
- CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( N-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit', M,
+ $ K, ONE, V( N-K+1, 1 ), LDV, WORK, LDWORK )
IF( N.GT.K ) THEN
*
* W := W + C1 * V1
*
- CALL ZGEMM( 'No transpose', 'No transpose',
- $ LASTC, K, N-K,
- $ ONE, C, LDC, V, LDV, ONE, WORK, LDWORK )
+ CALL ZGEMM( 'No transpose', 'No transpose', M, K, N-K,
+ $ ONE, C, LDC, V, LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T or W * T**H
*
- CALL ZTRMM( 'Right', 'Lower', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Lower', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V**H
*
@@ -481,23 +460,22 @@
*
* C1 := C1 - W * V1**H
*
- CALL ZGEMM( 'No transpose', 'Conjugate transpose',
- $ LASTC, N-K, K, -ONE, WORK, LDWORK, V, LDV,
- $ ONE, C, LDC )
+ CALL ZGEMM( 'No transpose', 'Conjugate transpose', M,
+ $ N-K, K, -ONE, WORK, LDWORK, V, LDV, ONE,
+ $ C, LDC )
END IF
*
* W := W * V2**H
*
CALL ZTRMM( 'Right', 'Upper', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V( N-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ $ 'Unit', M, K, ONE, V( N-K+1, 1 ), LDV, WORK,
+ $ LDWORK )
*
* C2 := C2 - W
*
DO 120 J = 1, K
- DO 110 I = 1, LASTC
- C( I, N-K+J ) = C( I, N-K+J )
- $ - WORK( I, J )
+ DO 110 I = 1, M
+ C( I, N-K+J ) = C( I, N-K+J ) - WORK( I, J )
110 CONTINUE
120 CONTINUE
END IF
@@ -514,59 +492,56 @@
*
* Form H * C or H**H * C where C = ( C1 )
* ( C2 )
-*
- LASTV = MAX( K, ILAZLC( K, M, V, LDV ) )
- LASTC = ILAZLC( LASTV, N, C, LDC )
*
* W := C**H * V**H = (C1**H * V1**H + C2**H * V2**H) (stored in WORK)
*
* W := C1**H
*
DO 130 J = 1, K
- CALL ZCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 )
- CALL ZLACGV( LASTC, WORK( 1, J ), 1 )
+ CALL ZCOPY( N, C( J, 1 ), LDC, WORK( 1, J ), 1 )
+ CALL ZLACGV( N, WORK( 1, J ), 1 )
130 CONTINUE
*
* W := W * V1**H
*
CALL ZTRMM( 'Right', 'Upper', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ $ 'Unit', N, K, ONE, V, LDV, WORK, LDWORK )
+ IF( M.GT.K ) THEN
*
-* W := W + C2**H*V2**H
+* W := W + C2**H * V2**H
*
CALL ZGEMM( 'Conjugate transpose',
- $ 'Conjugate transpose', LASTC, K, LASTV-K,
- $ ONE, C( K+1, 1 ), LDC, V( 1, K+1 ), LDV,
- $ ONE, WORK, LDWORK )
+ $ 'Conjugate transpose', N, K, M-K, ONE,
+ $ C( K+1, 1 ), LDC, V( 1, K+1 ), LDV, ONE,
+ $ WORK, LDWORK )
END IF
*
* W := W * T**H or W * T
*
- CALL ZTRMM( 'Right', 'Upper', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Upper', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V**H * W**H
*
- IF( LASTV.GT.K ) THEN
+ IF( M.GT.K ) THEN
*
* C2 := C2 - V2**H * W**H
*
CALL ZGEMM( 'Conjugate transpose',
- $ 'Conjugate transpose', LASTV-K, LASTC, K,
- $ -ONE, V( 1, K+1 ), LDV, WORK, LDWORK,
- $ ONE, C( K+1, 1 ), LDC )
+ $ 'Conjugate transpose', M-K, N, K, -ONE,
+ $ V( 1, K+1 ), LDV, WORK, LDWORK, ONE,
+ $ C( K+1, 1 ), LDC )
END IF
*
* W := W * V1
*
- CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit', N,
+ $ K, ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W**H
*
DO 150 J = 1, K
- DO 140 I = 1, LASTC
+ DO 140 I = 1, N
C( J, I ) = C( J, I ) - DCONJG( WORK( I, J ) )
140 CONTINUE
150 CONTINUE
@@ -574,57 +549,53 @@
ELSE IF( LSAME( SIDE, 'R' ) ) THEN
*
* Form C * H or C * H**H where C = ( C1 C2 )
-*
- LASTV = MAX( K, ILAZLC( K, N, V, LDV ) )
- LASTC = ILAZLR( M, LASTV, C, LDC )
*
* W := C * V**H = (C1*V1**H + C2*V2**H) (stored in WORK)
*
* W := C1
*
DO 160 J = 1, K
- CALL ZCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 )
+ CALL ZCOPY( M, C( 1, J ), 1, WORK( 1, J ), 1 )
160 CONTINUE
*
* W := W * V1**H
*
CALL ZTRMM( 'Right', 'Upper', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ $ 'Unit', M, K, ONE, V, LDV, WORK, LDWORK )
+ IF( N.GT.K ) THEN
*
* W := W + C2 * V2**H
*
- CALL ZGEMM( 'No transpose', 'Conjugate transpose',
- $ LASTC, K, LASTV-K, ONE, C( 1, K+1 ), LDC,
- $ V( 1, K+1 ), LDV, ONE, WORK, LDWORK )
+ CALL ZGEMM( 'No transpose', 'Conjugate transpose', M,
+ $ K, N-K, ONE, C( 1, K+1 ), LDC,
+ $ V( 1, K+1 ), LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T or W * T**H
*
- CALL ZTRMM( 'Right', 'Upper', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Upper', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V
*
- IF( LASTV.GT.K ) THEN
+ IF( N.GT.K ) THEN
*
* C2 := C2 - W * V2
*
- CALL ZGEMM( 'No transpose', 'No transpose',
- $ LASTC, LASTV-K, K,
- $ -ONE, WORK, LDWORK, V( 1, K+1 ), LDV,
- $ ONE, C( 1, K+1 ), LDC )
+ CALL ZGEMM( 'No transpose', 'No transpose', M, N-K, K,
+ $ -ONE, WORK, LDWORK, V( 1, K+1 ), LDV, ONE,
+ $ C( 1, K+1 ), LDC )
END IF
*
* W := W * V1
*
- CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit', M,
+ $ K, ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W
*
DO 180 J = 1, K
- DO 170 I = 1, LASTC
+ DO 170 I = 1, M
C( I, J ) = C( I, J ) - WORK( I, J )
170 CONTINUE
180 CONTINUE
@@ -640,37 +611,34 @@
*
* Form H * C or H**H * C where C = ( C1 )
* ( C2 )
-*
- LASTC = ILAZLC( M, N, C, LDC )
*
* W := C**H * V**H = (C1**H * V1**H + C2**H * V2**H) (stored in WORK)
*
* W := C2**H
*
DO 190 J = 1, K
- CALL ZCOPY( LASTC, C( M-K+J, 1 ), LDC,
- $ WORK( 1, J ), 1 )
- CALL ZLACGV( LASTC, WORK( 1, J ), 1 )
+ CALL ZCOPY( N, C( M-K+J, 1 ), LDC, WORK( 1, J ), 1 )
+ CALL ZLACGV( N, WORK( 1, J ), 1 )
190 CONTINUE
*
* W := W * V2**H
*
CALL ZTRMM( 'Right', 'Lower', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V( 1, M-K+1 ), LDV,
- $ WORK, LDWORK )
+ $ 'Unit', N, K, ONE, V( 1, M-K+1 ), LDV, WORK,
+ $ LDWORK )
IF( M.GT.K ) THEN
*
* W := W + C1**H * V1**H
*
CALL ZGEMM( 'Conjugate transpose',
- $ 'Conjugate transpose', LASTC, K, M-K,
- $ ONE, C, LDC, V, LDV, ONE, WORK, LDWORK )
+ $ 'Conjugate transpose', N, K, M-K, ONE, C,
+ $ LDC, V, LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T**H or W * T
*
- CALL ZTRMM( 'Right', 'Lower', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Lower', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V**H * W**H
*
@@ -679,20 +647,19 @@
* C1 := C1 - V1**H * W**H
*
CALL ZGEMM( 'Conjugate transpose',
- $ 'Conjugate transpose', M-K, LASTC, K,
- $ -ONE, V, LDV, WORK, LDWORK, ONE, C, LDC )
+ $ 'Conjugate transpose', M-K, N, K, -ONE, V,
+ $ LDV, WORK, LDWORK, ONE, C, LDC )
END IF
*
* W := W * V2
*
- CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( 1, M-K+1 ), LDV,
- $ WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit', N,
+ $ K, ONE, V( 1, M-K+1 ), LDV, WORK, LDWORK )
*
* C2 := C2 - W**H
*
DO 210 J = 1, K
- DO 200 I = 1, LASTC
+ DO 200 I = 1, N
C( M-K+J, I ) = C( M-K+J, I ) -
$ DCONJG( WORK( I, J ) )
200 CONTINUE
@@ -701,36 +668,33 @@
ELSE IF( LSAME( SIDE, 'R' ) ) THEN
*
* Form C * H or C * H**H where C = ( C1 C2 )
-*
- LASTC = ILAZLR( M, N, C, LDC )
*
* W := C * V**H = (C1*V1**H + C2*V2**H) (stored in WORK)
*
* W := C2
*
DO 220 J = 1, K
- CALL ZCOPY( LASTC, C( 1, N-K+J ), 1,
- $ WORK( 1, J ), 1 )
+ CALL ZCOPY( M, C( 1, N-K+J ), 1, WORK( 1, J ), 1 )
220 CONTINUE
*
* W := W * V2**H
*
CALL ZTRMM( 'Right', 'Lower', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V( 1, N-K+1 ), LDV,
- $ WORK, LDWORK )
+ $ 'Unit', M, K, ONE, V( 1, N-K+1 ), LDV, WORK,
+ $ LDWORK )
IF( N.GT.K ) THEN
*
* W := W + C1 * V1**H
*
- CALL ZGEMM( 'No transpose', 'Conjugate transpose',
- $ LASTC, K, N-K, ONE, C, LDC, V, LDV, ONE,
- $ WORK, LDWORK )
+ CALL ZGEMM( 'No transpose', 'Conjugate transpose', M,
+ $ K, N-K, ONE, C, LDC, V, LDV, ONE, WORK,
+ $ LDWORK )
END IF
*
* W := W * T or W * T**H
*
- CALL ZTRMM( 'Right', 'Lower', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Lower', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V
*
@@ -738,21 +702,19 @@
*
* C1 := C1 - W * V1
*
- CALL ZGEMM( 'No transpose', 'No transpose',
- $ LASTC, N-K, K, -ONE, WORK, LDWORK, V, LDV,
- $ ONE, C, LDC )
+ CALL ZGEMM( 'No transpose', 'No transpose', M, N-K, K,
+ $ -ONE, WORK, LDWORK, V, LDV, ONE, C, LDC )
END IF
*
* W := W * V2
*
- CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( 1, N-K+1 ), LDV,
- $ WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit', M,
+ $ K, ONE, V( 1, N-K+1 ), LDV, WORK, LDWORK )
*
* C1 := C1 - W
*
DO 240 J = 1, K
- DO 230 I = 1, LASTC
+ DO 230 I = 1, M
C( I, N-K+J ) = C( I, N-K+J ) - WORK( I, J )
230 CONTINUE
240 CONTINUE
diff --git a/lib/linalg/zlarfg.f b/lib/linalg/zlarfg.f
index e37c683fc9..f8a795d547 100644
--- a/lib/linalg/zlarfg.f
+++ b/lib/linalg/zlarfg.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZLARFG + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlarfg.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlarfg.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlarfg.f">
+*> Download ZLARFG + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlarfg.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlarfg.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlarfg.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZLARFG( N, ALPHA, X, INCX, TAU )
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX, N
* COMPLEX*16 ALPHA, TAU
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* COMPLEX*16 X( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -94,22 +94,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup complex16OTHERauxiliary
*
* =====================================================================
SUBROUTINE ZLARFG( N, ALPHA, X, INCX, TAU )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX, N
diff --git a/lib/linalg/zlarft.f b/lib/linalg/zlarft.f
index 2278d11d2b..78ad2f1481 100644
--- a/lib/linalg/zlarft.f
+++ b/lib/linalg/zlarft.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZLARFT + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlarft.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlarft.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlarft.f">
+*> Download ZLARFT + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlarft.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlarft.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlarft.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT )
-*
+*
* .. Scalar Arguments ..
* CHARACTER DIRECT, STOREV
* INTEGER K, LDT, LDV, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* COMPLEX*16 T( LDT, * ), TAU( * ), V( LDV, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -125,12 +125,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2016
*
*> \ingroup complex16OTHERauxiliary
*
@@ -163,10 +163,10 @@
* =====================================================================
SUBROUTINE ZLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2016
*
* .. Scalar Arguments ..
CHARACTER DIRECT, STOREV
@@ -187,7 +187,7 @@
INTEGER I, J, PREVLASTV, LASTV
* ..
* .. External Subroutines ..
- EXTERNAL ZGEMV, ZLACGV, ZTRMV
+ EXTERNAL ZGEMV, ZTRMV, ZGEMM
* ..
* .. External Functions ..
LOGICAL LSAME
@@ -222,13 +222,13 @@
END DO
DO J = 1, I-1
T( J, I ) = -TAU( I ) * CONJG( V( I , J ) )
- END DO
+ END DO
J = MIN( LASTV, PREVLASTV )
*
* T(1:i-1,i) := - tau(i) * V(i:j,1:i-1)**H * V(i:j,i)
*
CALL ZGEMV( 'Conjugate transpose', J-I, I-1,
- $ -TAU( I ), V( I+1, 1 ), LDV,
+ $ -TAU( I ), V( I+1, 1 ), LDV,
$ V( I+1, I ), 1, ONE, T( 1, I ), 1 )
ELSE
* Skip any trailing zeros.
@@ -237,14 +237,14 @@
END DO
DO J = 1, I-1
T( J, I ) = -TAU( I ) * V( J , I )
- END DO
+ END DO
J = MIN( LASTV, PREVLASTV )
*
* T(1:i-1,i) := - tau(i) * V(1:i-1,i:j) * V(i,i:j)**H
*
CALL ZGEMM( 'N', 'C', I-1, 1, J-I, -TAU( I ),
$ V( 1, I+1 ), LDV, V( I, I+1 ), LDV,
- $ ONE, T( 1, I ), LDT )
+ $ ONE, T( 1, I ), LDT )
END IF
*
* T(1:i-1,i) := T(1:i-1,1:i-1) * T(1:i-1,i)
@@ -281,7 +281,7 @@
END DO
DO J = I+1, K
T( J, I ) = -TAU( I ) * CONJG( V( N-K+I , J ) )
- END DO
+ END DO
J = MAX( LASTV, PREVLASTV )
*
* T(i+1:k,i) = -tau(i) * V(j:n-k+i,i+1:k)**H * V(j:n-k+i,i)
@@ -296,14 +296,14 @@
END DO
DO J = I+1, K
T( J, I ) = -TAU( I ) * V( J, N-K+I )
- END DO
+ END DO
J = MAX( LASTV, PREVLASTV )
*
* T(i+1:k,i) = -tau(i) * V(i+1:k,j:n-k+i) * V(i,j:n-k+i)**H
*
CALL ZGEMM( 'N', 'C', K-I, 1, N-K+I-J, -TAU( I ),
$ V( I+1, J ), LDV, V( I, J ), LDV,
- $ ONE, T( I+1, I ), LDT )
+ $ ONE, T( I+1, I ), LDT )
END IF
*
* T(i+1:k,i) := T(i+1:k,i+1:k) * T(i+1:k,i)
diff --git a/lib/linalg/zlascl.f b/lib/linalg/zlascl.f
index 51a4f0f614..c53c6f5ad7 100644
--- a/lib/linalg/zlascl.f
+++ b/lib/linalg/zlascl.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZLASCL + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlascl.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlascl.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlascl.f">
+*> Download ZLASCL + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlascl.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlascl.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlascl.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZLASCL( TYPE, KL, KU, CFROM, CTO, M, N, A, LDA, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER TYPE
* INTEGER INFO, KL, KU, LDA, M, N
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* COMPLEX*16 A( LDA, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -114,7 +114,11 @@
*> \param[in] LDA
*> \verbatim
*> LDA is INTEGER
-*> The leading dimension of the array A. LDA >= max(1,M).
+*> The leading dimension of the array A.
+*> If TYPE = 'G', 'L', 'U', 'H', LDA >= max(1,M);
+*> TYPE = 'B', LDA >= KL+1;
+*> TYPE = 'Q', LDA >= KU+1;
+*> TYPE = 'Z', LDA >= 2*KL+KU+1.
*> \endverbatim
*>
*> \param[out] INFO
@@ -127,22 +131,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2016
*
*> \ingroup complex16OTHERauxiliary
*
* =====================================================================
SUBROUTINE ZLASCL( TYPE, KL, KU, CFROM, CTO, M, N, A, LDA, INFO )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2016
*
* .. Scalar Arguments ..
CHARACTER TYPE
diff --git a/lib/linalg/zlaset.f b/lib/linalg/zlaset.f
index 11f82361b7..796678217b 100644
--- a/lib/linalg/zlaset.f
+++ b/lib/linalg/zlaset.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZLASET + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlaset.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlaset.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlaset.f">
+*> Download ZLASET + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlaset.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlaset.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlaset.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZLASET( UPLO, M, N, ALPHA, BETA, A, LDA )
-*
+*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER LDA, M, N
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* COMPLEX*16 A( LDA, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -77,7 +77,7 @@
*> All the diagonal array elements are set to BETA.
*> \endverbatim
*>
-*> \param[in,out] A
+*> \param[out] A
*> \verbatim
*> A is COMPLEX*16 array, dimension (LDA,N)
*> On entry, the m by n matrix A.
@@ -94,22 +94,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup complex16OTHERauxiliary
*
* =====================================================================
SUBROUTINE ZLASET( UPLO, M, N, ALPHA, BETA, A, LDA )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
diff --git a/lib/linalg/zlasr.f b/lib/linalg/zlasr.f
index 5243d8304a..69891ba522 100644
--- a/lib/linalg/zlasr.f
+++ b/lib/linalg/zlasr.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZLASR + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlasr.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlasr.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlasr.f">
+*> Download ZLASR + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlasr.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlasr.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlasr.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZLASR( SIDE, PIVOT, DIRECT, M, N, C, S, A, LDA )
-*
+*
* .. Scalar Arguments ..
* CHARACTER DIRECT, PIVOT, SIDE
* INTEGER LDA, M, N
@@ -28,7 +28,7 @@
* DOUBLE PRECISION C( * ), S( * )
* COMPLEX*16 A( LDA, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -49,23 +49,23 @@
*> where P is an orthogonal matrix consisting of a sequence of z plane
*> rotations, with z = M when SIDE = 'L' and z = N when SIDE = 'R',
*> and P**T is the transpose of P.
-*>
+*>
*> When DIRECT = 'F' (Forward sequence), then
-*>
+*>
*> P = P(z-1) * ... * P(2) * P(1)
-*>
+*>
*> and when DIRECT = 'B' (Backward sequence), then
-*>
+*>
*> P = P(1) * P(2) * ... * P(z-1)
-*>
+*>
*> where P(k) is a plane rotation matrix defined by the 2-by-2 rotation
-*>
+*>
*> R(k) = ( c(k) s(k) )
*> = ( -s(k) c(k) ).
-*>
+*>
*> When PIVOT = 'V' (Variable pivot), the rotation is performed
*> for the plane (k,k+1), i.e., P(k) has the form
-*>
+*>
*> P(k) = ( 1 )
*> ( ... )
*> ( 1 )
@@ -74,13 +74,13 @@
*> ( 1 )
*> ( ... )
*> ( 1 )
-*>
+*>
*> where R(k) appears as a rank-2 modification to the identity matrix in
*> rows and columns k and k+1.
-*>
+*>
*> When PIVOT = 'T' (Top pivot), the rotation is performed for the
*> plane (1,k+1), so P(k) has the form
-*>
+*>
*> P(k) = ( c(k) s(k) )
*> ( 1 )
*> ( ... )
@@ -89,12 +89,12 @@
*> ( 1 )
*> ( ... )
*> ( 1 )
-*>
+*>
*> where R(k) appears in rows and columns 1 and k+1.
-*>
+*>
*> Similarly, when PIVOT = 'B' (Bottom pivot), the rotation is
*> performed for the plane (k,z), giving P(k) the form
-*>
+*>
*> P(k) = ( 1 )
*> ( ... )
*> ( 1 )
@@ -103,7 +103,7 @@
*> ( ... )
*> ( 1 )
*> ( -s(k) c(k) )
-*>
+*>
*> where R(k) appears in rows and columns k and z. The rotations are
*> performed without ever forming P(k) explicitly.
*> \endverbatim
@@ -188,22 +188,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup complex16OTHERauxiliary
*
* =====================================================================
SUBROUTINE ZLASR( SIDE, PIVOT, DIRECT, M, N, C, S, A, LDA )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER DIRECT, PIVOT, SIDE
diff --git a/lib/linalg/zlassq.f b/lib/linalg/zlassq.f
index 5b7e66c30b..fd13811bd9 100644
--- a/lib/linalg/zlassq.f
+++ b/lib/linalg/zlassq.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZLASSQ + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlassq.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlassq.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlassq.f">
+*> Download ZLASSQ + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlassq.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlassq.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlassq.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZLASSQ( N, X, INCX, SCALE, SUMSQ )
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX, N
* DOUBLE PRECISION SCALE, SUMSQ
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* COMPLEX*16 X( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -94,22 +94,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup complex16OTHERauxiliary
*
* =====================================================================
SUBROUTINE ZLASSQ( N, X, INCX, SCALE, SUMSQ )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX, N
diff --git a/lib/linalg/zlatrd.f b/lib/linalg/zlatrd.f
index 619d7280c4..ccc040993f 100644
--- a/lib/linalg/zlatrd.f
+++ b/lib/linalg/zlatrd.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZLATRD + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlatrd.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlatrd.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlatrd.f">
+*> Download ZLATRD + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlatrd.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlatrd.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlatrd.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZLATRD( UPLO, N, NB, A, LDA, E, TAU, W, LDW )
-*
+*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER LDA, LDW, N, NB
@@ -28,7 +28,7 @@
* DOUBLE PRECISION E( * )
* COMPLEX*16 A( LDA, * ), TAU( * ), W( LDW, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -135,12 +135,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup complex16OTHERauxiliary
*
@@ -199,10 +199,10 @@
* =====================================================================
SUBROUTINE ZLATRD( UPLO, N, NB, A, LDA, E, TAU, W, LDW )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
diff --git a/lib/linalg/zpptrf.f b/lib/linalg/zpptrf.f
index c34aff332a..6e50b46828 100644
--- a/lib/linalg/zpptrf.f
+++ b/lib/linalg/zpptrf.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZPPTRF + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zpptrf.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zpptrf.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zpptrf.f">
+*> Download ZPPTRF + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zpptrf.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zpptrf.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zpptrf.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZPPTRF( UPLO, N, AP, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER INFO, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* COMPLEX*16 AP( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -87,12 +87,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16OTHERcomputational
*
@@ -119,10 +119,10 @@
* =====================================================================
SUBROUTINE ZPPTRF( UPLO, N, AP, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
diff --git a/lib/linalg/zpptri.f b/lib/linalg/zpptri.f
index 0946797450..cde2f6dc72 100644
--- a/lib/linalg/zpptri.f
+++ b/lib/linalg/zpptri.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZPPTRI + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zpptri.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zpptri.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zpptri.f">
+*> Download ZPPTRI + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zpptri.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zpptri.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zpptri.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZPPTRI( UPLO, N, AP, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER INFO, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* COMPLEX*16 AP( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -81,22 +81,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16OTHERcomputational
*
* =====================================================================
SUBROUTINE ZPPTRI( UPLO, N, AP, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
diff --git a/lib/linalg/zscal.f b/lib/linalg/zscal.f
index ad28a10a9b..9f6d4b1d39 100644
--- a/lib/linalg/zscal.f
+++ b/lib/linalg/zscal.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE ZSCAL(N,ZA,ZX,INCX)
-*
+*
* .. Scalar Arguments ..
* COMPLEX*16 ZA
* INTEGER INCX,N
@@ -17,7 +17,7 @@
* .. Array Arguments ..
* COMPLEX*16 ZX(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -27,15 +27,41 @@
*> ZSCAL scales a vector by a constant.
*> \endverbatim
*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> number of elements in input vector(s)
+*> \endverbatim
+*>
+*> \param[in] ZA
+*> \verbatim
+*> ZA is COMPLEX*16
+*> On entry, ZA specifies the scalar alpha.
+*> \endverbatim
+*>
+*> \param[in,out] ZX
+*> \verbatim
+*> ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> storage spacing between elements of ZX
+*> \endverbatim
+*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16_blas_level1
*
@@ -52,10 +78,10 @@
* =====================================================================
SUBROUTINE ZSCAL(N,ZA,ZX,INCX)
*
-* -- Reference BLAS level1 routine (version 3.4.0) --
+* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
COMPLEX*16 ZA
diff --git a/lib/linalg/zsteqr.f b/lib/linalg/zsteqr.f
index 33af78e854..ac47890685 100644
--- a/lib/linalg/zsteqr.f
+++ b/lib/linalg/zsteqr.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZSTEQR + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zsteqr.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zsteqr.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zsteqr.f">
+*> Download ZSTEQR + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zsteqr.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zsteqr.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zsteqr.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZSTEQR( COMPZ, N, D, E, Z, LDZ, WORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER COMPZ
* INTEGER INFO, LDZ, N
@@ -28,7 +28,7 @@
* DOUBLE PRECISION D( * ), E( * ), WORK( * )
* COMPLEX*16 Z( LDZ, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -120,22 +120,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16OTHERcomputational
*
* =====================================================================
SUBROUTINE ZSTEQR( COMPZ, N, D, E, Z, LDZ, WORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER COMPZ
diff --git a/lib/linalg/zswap.f b/lib/linalg/zswap.f
index ca2f347211..6768d5e6e0 100644
--- a/lib/linalg/zswap.f
+++ b/lib/linalg/zswap.f
@@ -2,21 +2,21 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE ZSWAP(N,ZX,INCX,ZY,INCY)
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX,INCY,N
* ..
* .. Array Arguments ..
* COMPLEX*16 ZX(*),ZY(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -26,15 +26,46 @@
*> ZSWAP interchanges two vectors.
*> \endverbatim
*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> number of elements in input vector(s)
+*> \endverbatim
+*>
+*> \param[in,out] ZX
+*> \verbatim
+*> ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> storage spacing between elements of ZX
+*> \endverbatim
+*>
+*> \param[in,out] ZY
+*> \verbatim
+*> ZY is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCY ) )
+*> \endverbatim
+*>
+*> \param[in] INCY
+*> \verbatim
+*> INCY is INTEGER
+*> storage spacing between elements of ZY
+*> \endverbatim
+*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16_blas_level1
*
@@ -50,10 +81,10 @@
* =====================================================================
SUBROUTINE ZSWAP(N,ZX,INCX,ZY,INCY)
*
-* -- Reference BLAS level1 routine (version 3.4.0) --
+* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX,INCY,N
diff --git a/lib/linalg/ztpmv.f b/lib/linalg/ztpmv.f
index e277ec1a6e..65aa2a0abc 100644
--- a/lib/linalg/ztpmv.f
+++ b/lib/linalg/ztpmv.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE ZTPMV(UPLO,TRANS,DIAG,N,AP,X,INCX)
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX,N
* CHARACTER DIAG,TRANS,UPLO
@@ -17,7 +17,7 @@
* .. Array Arguments ..
* COMPLEX*16 AP(*),X(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -80,7 +80,7 @@
*>
*> \param[in] AP
*> \verbatim
-*> AP is COMPLEX*16 array of DIMENSION at least
+*> AP is COMPLEX*16 array, dimension at least
*> ( ( n*( n + 1 ) )/2 ).
*> Before entry with UPLO = 'U' or 'u', the array AP must
*> contain the upper triangular matrix packed sequentially,
@@ -96,13 +96,13 @@
*> A are not referenced, but are assumed to be unity.
*> \endverbatim
*>
-*> \param[in] X
+*> \param[in,out] X
*> \verbatim
-*> X is (input/output) COMPLEX*16 array of dimension at least
+*> X is COMPLEX*16 array, dimension at least
*> ( 1 + ( n - 1 )*abs( INCX ) ).
*> Before entry, the incremented array X must contain the n
*> element vector x. On exit, X is overwritten with the
-*> tranformed vector x.
+*> transformed vector x.
*> \endverbatim
*>
*> \param[in] INCX
@@ -115,12 +115,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16_blas_level2
*
@@ -142,10 +142,10 @@
* =====================================================================
SUBROUTINE ZTPMV(UPLO,TRANS,DIAG,N,AP,X,INCX)
*
-* -- Reference BLAS level2 routine (version 3.4.0) --
+* -- Reference BLAS level2 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX,N
diff --git a/lib/linalg/ztpsv.f b/lib/linalg/ztpsv.f
index 0e75f9facf..538888424a 100644
--- a/lib/linalg/ztpsv.f
+++ b/lib/linalg/ztpsv.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE ZTPSV(UPLO,TRANS,DIAG,N,AP,X,INCX)
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX,N
* CHARACTER DIAG,TRANS,UPLO
@@ -17,7 +17,7 @@
* .. Array Arguments ..
* COMPLEX*16 AP(*),X(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -83,7 +83,7 @@
*>
*> \param[in] AP
*> \verbatim
-*> AP is COMPLEX*16 array of DIMENSION at least
+*> AP is COMPLEX*16 array, dimension at least
*> ( ( n*( n + 1 ) )/2 ).
*> Before entry with UPLO = 'U' or 'u', the array AP must
*> contain the upper triangular matrix packed sequentially,
@@ -101,7 +101,7 @@
*>
*> \param[in,out] X
*> \verbatim
-*> X is COMPLEX*16 array of dimension at least
+*> X is COMPLEX*16 array, dimension at least
*> ( 1 + ( n - 1 )*abs( INCX ) ).
*> Before entry, the incremented array X must contain the n
*> element right-hand side vector b. On exit, X is overwritten
@@ -118,12 +118,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16_blas_level2
*
@@ -144,10 +144,10 @@
* =====================================================================
SUBROUTINE ZTPSV(UPLO,TRANS,DIAG,N,AP,X,INCX)
*
-* -- Reference BLAS level2 routine (version 3.4.0) --
+* -- Reference BLAS level2 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX,N
diff --git a/lib/linalg/ztptri.f b/lib/linalg/ztptri.f
index 187c9ccac1..35388194c3 100644
--- a/lib/linalg/ztptri.f
+++ b/lib/linalg/ztptri.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZTPTRI + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ztptri.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ztptri.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ztptri.f">
+*> Download ZTPTRI + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ztptri.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ztptri.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ztptri.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZTPTRI( UPLO, DIAG, N, AP, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER DIAG, UPLO
* INTEGER INFO, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* COMPLEX*16 AP( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -86,12 +86,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16OTHERcomputational
*
@@ -117,10 +117,10 @@
* =====================================================================
SUBROUTINE ZTPTRI( UPLO, DIAG, N, AP, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER DIAG, UPLO
diff --git a/lib/linalg/ztrmm.f b/lib/linalg/ztrmm.f
index ba7aead68b..0f445f52a7 100644
--- a/lib/linalg/ztrmm.f
+++ b/lib/linalg/ztrmm.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE ZTRMM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
-*
+*
* .. Scalar Arguments ..
* COMPLEX*16 ALPHA
* INTEGER LDA,LDB,M,N
@@ -18,7 +18,7 @@
* .. Array Arguments ..
* COMPLEX*16 A(LDA,*),B(LDB,*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -109,7 +109,7 @@
*>
*> \param[in] A
*> \verbatim
-*> A is COMPLEX*16 array of DIMENSION ( LDA, k ), where k is m
+*> A is COMPLEX*16 array, dimension ( LDA, k ), where k is m
*> when SIDE = 'L' or 'l' and is n when SIDE = 'R' or 'r'.
*> Before entry with UPLO = 'U' or 'u', the leading k by k
*> upper triangular part of the array A must contain the upper
@@ -132,9 +132,9 @@
*> then LDA must be at least max( 1, n ).
*> \endverbatim
*>
-*> \param[in] B
+*> \param[in,out] B
*> \verbatim
-*> B is (input/output) COMPLEX*16 array of DIMENSION ( LDB, n ).
+*> B is COMPLEX*16 array, dimension ( LDB, N ).
*> Before entry, the leading m by n part of the array B must
*> contain the matrix B, and on exit is overwritten by the
*> transformed matrix.
@@ -151,12 +151,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16_blas_level3
*
@@ -177,10 +177,10 @@
* =====================================================================
SUBROUTINE ZTRMM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
*
-* -- Reference BLAS level3 routine (version 3.4.0) --
+* -- Reference BLAS level3 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
COMPLEX*16 ALPHA
diff --git a/lib/linalg/ztrmv.f b/lib/linalg/ztrmv.f
index 8d7974a059..52d1ae6799 100644
--- a/lib/linalg/ztrmv.f
+++ b/lib/linalg/ztrmv.f
@@ -2,14 +2,14 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE ZTRMV(UPLO,TRANS,DIAG,N,A,LDA,X,INCX)
-*
+*
* .. Scalar Arguments ..
* INTEGER INCX,LDA,N
* CHARACTER DIAG,TRANS,UPLO
@@ -17,7 +17,7 @@
* .. Array Arguments ..
* COMPLEX*16 A(LDA,*),X(*)
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -80,7 +80,7 @@
*>
*> \param[in] A
*> \verbatim
-*> A is COMPLEX*16 array of DIMENSION ( LDA, n ).
+*> A is COMPLEX*16 array, dimension ( LDA, N ).
*> Before entry with UPLO = 'U' or 'u', the leading n by n
*> upper triangular part of the array A must contain the upper
*> triangular matrix and the strictly lower triangular part of
@@ -101,13 +101,13 @@
*> max( 1, n ).
*> \endverbatim
*>
-*> \param[in] X
+*> \param[in,out] X
*> \verbatim
-*> X is (input/output) COMPLEX*16 array of dimension at least
+*> X is COMPLEX*16 array, dimension at least
*> ( 1 + ( n - 1 )*abs( INCX ) ).
*> Before entry, the incremented array X must contain the n
*> element vector x. On exit, X is overwritten with the
-*> tranformed vector x.
+*> transformed vector x.
*> \endverbatim
*>
*> \param[in] INCX
@@ -120,12 +120,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16_blas_level2
*
@@ -147,10 +147,10 @@
* =====================================================================
SUBROUTINE ZTRMV(UPLO,TRANS,DIAG,N,A,LDA,X,INCX)
*
-* -- Reference BLAS level2 routine (version 3.4.0) --
+* -- Reference BLAS level2 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX,LDA,N
diff --git a/lib/linalg/zung2l.f b/lib/linalg/zung2l.f
index f8fd3667d2..1a48c4d6bc 100644
--- a/lib/linalg/zung2l.f
+++ b/lib/linalg/zung2l.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZUNG2L + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zung2l.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zung2l.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zung2l.f">
+*> Download ZUNG2L + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zung2l.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zung2l.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zung2l.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZUNG2L( M, N, K, A, LDA, TAU, WORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, K, LDA, M, N
* ..
* .. Array Arguments ..
* COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -102,22 +102,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup complex16OTHERcomputational
*
* =====================================================================
SUBROUTINE ZUNG2L( M, N, K, A, LDA, TAU, WORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, K, LDA, M, N
diff --git a/lib/linalg/zung2r.f b/lib/linalg/zung2r.f
index 63783ac01b..4a3fed0f0d 100644
--- a/lib/linalg/zung2r.f
+++ b/lib/linalg/zung2r.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZUNG2R + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zung2r.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zung2r.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zung2r.f">
+*> Download ZUNG2R + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zung2r.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zung2r.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zung2r.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZUNG2R( M, N, K, A, LDA, TAU, WORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, K, LDA, M, N
* ..
* .. Array Arguments ..
* COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -102,22 +102,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16OTHERcomputational
*
* =====================================================================
SUBROUTINE ZUNG2R( M, N, K, A, LDA, TAU, WORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, K, LDA, M, N
diff --git a/lib/linalg/zungl2.f b/lib/linalg/zungl2.f
index 44acba12a6..0774cc4405 100644
--- a/lib/linalg/zungl2.f
+++ b/lib/linalg/zungl2.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZUNGL2 + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zungl2.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zungl2.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zungl2.f">
+*> Download ZUNGL2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zungl2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zungl2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zungl2.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZUNGL2( M, N, K, A, LDA, TAU, WORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, K, LDA, M, N
* ..
* .. Array Arguments ..
* COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -101,22 +101,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup complex16OTHERcomputational
*
* =====================================================================
SUBROUTINE ZUNGL2( M, N, K, A, LDA, TAU, WORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, K, LDA, M, N
diff --git a/lib/linalg/zungql.f b/lib/linalg/zungql.f
index 5c77abbd46..c63a47db56 100644
--- a/lib/linalg/zungql.f
+++ b/lib/linalg/zungql.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZUNGQL + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zungql.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zungql.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zungql.f">
+*> Download ZUNGQL + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zungql.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zungql.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zungql.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZUNGQL( M, N, K, A, LDA, TAU, WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, K, LDA, LWORK, M, N
* ..
* .. Array Arguments ..
* COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -116,22 +116,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16OTHERcomputational
*
* =====================================================================
SUBROUTINE ZUNGQL( M, N, K, A, LDA, TAU, WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, K, LDA, LWORK, M, N
diff --git a/lib/linalg/zungqr.f b/lib/linalg/zungqr.f
index 6b3e9220cd..5f95b64e88 100644
--- a/lib/linalg/zungqr.f
+++ b/lib/linalg/zungqr.f
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZUNGQR + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zungqr.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zungqr.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zungqr.f">
+*> Download ZUNGQR + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zungqr.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zungqr.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zungqr.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZUNGQR( M, N, K, A, LDA, TAU, WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, K, LDA, LWORK, M, N
* ..
* .. Array Arguments ..
* COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -116,22 +116,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16OTHERcomputational
*
* =====================================================================
SUBROUTINE ZUNGQR( M, N, K, A, LDA, TAU, WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, K, LDA, LWORK, M, N
diff --git a/lib/linalg/zungtr.f b/lib/linalg/zungtr.f
index 422a55a921..728854332f 100644
--- a/lib/linalg/zungtr.f
+++ b/lib/linalg/zungtr.f
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZUNGTR + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zungtr.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zungtr.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zungtr.f">
+*> Download ZUNGTR + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zungtr.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zungtr.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zungtr.f">
*> [TXT]</a>
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZUNGTR( UPLO, N, A, LDA, TAU, WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER INFO, LDA, LWORK, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -111,22 +111,22 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup complex16OTHERcomputational
*
* =====================================================================
SUBROUTINE ZUNGTR( UPLO, N, A, LDA, TAU, WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
--
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