--- rpl/lapack/lapack/zpotrs.f 2010/08/06 15:32:48 1.4
+++ rpl/lapack/lapack/zpotrs.f 2011/11/21 22:19:56 1.10
@@ -1,9 +1,119 @@
+*> \brief \b ZPOTRS
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download ZPOTRS + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE ZPOTRS( UPLO, N, NRHS, A, LDA, B, LDB, INFO )
+*
+* .. Scalar Arguments ..
+* CHARACTER UPLO
+* INTEGER INFO, LDA, LDB, N, NRHS
+* ..
+* .. Array Arguments ..
+* COMPLEX*16 A( LDA, * ), B( LDB, * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> ZPOTRS solves a system of linear equations A*X = B with a Hermitian
+*> positive definite matrix A using the Cholesky factorization
+*> A = U**H * U or A = L * L**H computed by ZPOTRF.
+*> \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] N
+*> \verbatim
+*> N is INTEGER
+*> The order of the matrix A. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] NRHS
+*> \verbatim
+*> NRHS is INTEGER
+*> The number of right hand sides, i.e., the number of columns
+*> of the matrix B. NRHS >= 0.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*> A is COMPLEX*16 array, dimension (LDA,N)
+*> The triangular factor U or L from the Cholesky factorization
+*> A = U**H * U or A = L * L**H, as computed by ZPOTRF.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> The leading dimension of the array A. LDA >= max(1,N).
+*> \endverbatim
+*>
+*> \param[in,out] B
+*> \verbatim
+*> B is COMPLEX*16 array, dimension (LDB,NRHS)
+*> On entry, the right hand side matrix B.
+*> On exit, the solution matrix X.
+*> \endverbatim
+*>
+*> \param[in] LDB
+*> \verbatim
+*> LDB is INTEGER
+*> The leading dimension of the array B. LDB >= max(1,N).
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: successful exit
+*> < 0: if INFO = -i, the i-th argument had an illegal value
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2011
+*
+*> \ingroup complex16POcomputational
+*
+* =====================================================================
SUBROUTINE ZPOTRS( UPLO, N, NRHS, A, LDA, B, LDB, INFO )
*
-* -- LAPACK routine (version 3.2) --
+* -- LAPACK computational routine (version 3.4.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
+* November 2011
*
* .. Scalar Arguments ..
CHARACTER UPLO
@@ -13,45 +123,6 @@
COMPLEX*16 A( LDA, * ), B( LDB, * )
* ..
*
-* Purpose
-* =======
-*
-* ZPOTRS solves a system of linear equations A*X = B with a Hermitian
-* positive definite matrix A using the Cholesky factorization
-* A = U**H*U or A = L*L**H computed by ZPOTRF.
-*
-* Arguments
-* =========
-*
-* UPLO (input) CHARACTER*1
-* = 'U': Upper triangle of A is stored;
-* = 'L': Lower triangle of A is stored.
-*
-* N (input) INTEGER
-* The order of the matrix A. N >= 0.
-*
-* NRHS (input) INTEGER
-* The number of right hand sides, i.e., the number of columns
-* of the matrix B. NRHS >= 0.
-*
-* A (input) COMPLEX*16 array, dimension (LDA,N)
-* The triangular factor U or L from the Cholesky factorization
-* A = U**H*U or A = L*L**H, as computed by ZPOTRF.
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,N).
-*
-* B (input/output) COMPLEX*16 array, dimension (LDB,NRHS)
-* On entry, the right hand side matrix B.
-* On exit, the solution matrix X.
-*
-* LDB (input) INTEGER
-* The leading dimension of the array B. LDB >= max(1,N).
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value
-*
* =====================================================================
*
* .. Parameters ..
@@ -100,9 +171,9 @@
*
IF( UPPER ) THEN
*
-* Solve A*X = B where A = U'*U.
+* Solve A*X = B where A = U**H *U.
*
-* Solve U'*X = B, overwriting B with X.
+* Solve U**H *X = B, overwriting B with X.
*
CALL ZTRSM( 'Left', 'Upper', 'Conjugate transpose', 'Non-unit',
$ N, NRHS, ONE, A, LDA, B, LDB )
@@ -113,14 +184,14 @@
$ NRHS, ONE, A, LDA, B, LDB )
ELSE
*
-* Solve A*X = B where A = L*L'.
+* Solve A*X = B where A = L*L**H.
*
* Solve L*X = B, overwriting B with X.
*
CALL ZTRSM( 'Left', 'Lower', 'No transpose', 'Non-unit', N,
$ NRHS, ONE, A, LDA, B, LDB )
*
-* Solve L'*X = B, overwriting B with X.
+* Solve L**H *X = B, overwriting B with X.
*
CALL ZTRSM( 'Left', 'Lower', 'Conjugate transpose', 'Non-unit',
$ N, NRHS, ONE, A, LDA, B, LDB )