--- rpl/lapack/lapack/zla_porpvgrw.f 2010/12/21 13:53:48 1.4
+++ rpl/lapack/lapack/zla_porpvgrw.f 2018/05/29 07:18:23 1.15
@@ -1,16 +1,117 @@
- DOUBLE PRECISION FUNCTION ZLA_PORPVGRW( UPLO, NCOLS, A, LDA, AF,
- $ LDAF, WORK )
+*> \brief \b ZLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix.
*
-* -- LAPACK routine (version 3.2.2) --
-* -- Contributed by James Demmel, Deaglan Halligan, Yozo Hida and --
-* -- Jason Riedy of Univ. of California Berkeley. --
-* -- June 2010 --
+* =========== DOCUMENTATION ===========
*
-* -- LAPACK is a software package provided by Univ. of Tennessee, --
-* -- Univ. of California Berkeley and NAG Ltd. --
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download ZLA_PORPVGRW + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* DOUBLE PRECISION FUNCTION ZLA_PORPVGRW( UPLO, NCOLS, A, LDA, AF,
+* LDAF, WORK )
+*
+* .. Scalar Arguments ..
+* CHARACTER*1 UPLO
+* INTEGER NCOLS, LDA, LDAF
+* ..
+* .. Array Arguments ..
+* COMPLEX*16 A( LDA, * ), AF( LDAF, * )
+* DOUBLE PRECISION WORK( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*>
+*> ZLA_PORPVGRW computes the reciprocal pivot growth factor
+*> norm(A)/norm(U). The "max absolute element" norm is used. If this is
+*> much less than 1, the stability of the LU factorization of the
+*> (equilibrated) matrix A could be poor. This also means that the
+*> solution X, estimated condition numbers, and error bounds could be
+*> unreliable.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> = 'U': Upper triangle of A is stored;
+*> = 'L': Lower triangle of A is stored.
+*> \endverbatim
+*>
+*> \param[in] NCOLS
+*> \verbatim
+*> NCOLS is INTEGER
+*> The number of columns of the matrix A. NCOLS >= 0.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*> A is COMPLEX*16 array, dimension (LDA,N)
+*> On entry, the N-by-N matrix A.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> The leading dimension of the array A. LDA >= max(1,N).
+*> \endverbatim
+*>
+*> \param[in] AF
+*> \verbatim
+*> AF is COMPLEX*16 array, dimension (LDAF,N)
+*> The triangular factor U or L from the Cholesky factorization
+*> A = U**T*U or A = L*L**T, as computed by ZPOTRF.
+*> \endverbatim
+*>
+*> \param[in] LDAF
+*> \verbatim
+*> LDAF is INTEGER
+*> The leading dimension of the array AF. LDAF >= max(1,N).
+*> \endverbatim
+*>
+*> \param[in] WORK
+*> \verbatim
+*> WORK is DOUBLE PRECISION array, dimension (2*N)
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date June 2016
+*
+*> \ingroup complex16POcomputational
+*
+* =====================================================================
+ DOUBLE PRECISION FUNCTION ZLA_PORPVGRW( UPLO, NCOLS, A, LDA, AF,
+ $ LDAF, WORK )
+*
+* -- 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
*
- IMPLICIT NONE
-* ..
* .. Scalar Arguments ..
CHARACTER*1 UPLO
INTEGER NCOLS, LDA, LDAF
@@ -20,41 +121,6 @@
DOUBLE PRECISION WORK( * )
* ..
*
-* Purpose
-* =======
-*
-* ZLA_PORPVGRW computes the reciprocal pivot growth factor
-* norm(A)/norm(U). The "max absolute element" norm is used. If this is
-* much less than 1, the stability of the LU factorization of the
-* (equilibrated) matrix A could be poor. This also means that the
-* solution X, estimated condition numbers, and error bounds could be
-* unreliable.
-*
-* Arguments
-* =========
-*
-* UPLO (input) CHARACTER*1
-* = 'U': Upper triangle of A is stored;
-* = 'L': Lower triangle of A is stored.
-*
-* NCOLS (input) INTEGER
-* The number of columns of the matrix A. NCOLS >= 0.
-*
-* A (input) COMPLEX*16 array, dimension (LDA,N)
-* On entry, the N-by-N matrix A.
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,N).
-*
-* AF (input) COMPLEX*16 array, dimension (LDAF,N)
-* The triangular factor U or L from the Cholesky factorization
-* A = U**T*U or A = L*L**T, as computed by ZPOTRF.
-*
-* LDAF (input) INTEGER
-* The leading dimension of the array AF. LDAF >= max(1,N).
-*
-* WORK (input) COMPLEX*16 array, dimension (2*N)
-*
* =====================================================================
*
* .. Local Scalars ..
@@ -64,7 +130,7 @@
COMPLEX*16 ZDUM
* ..
* .. External Functions ..
- EXTERNAL LSAME, ZLASET
+ EXTERNAL LSAME
LOGICAL LSAME
* ..
* .. Intrinsic Functions ..