--- rpl/lapack/lapack/zpptrs.f 2010/01/26 15:22:45 1.1
+++ rpl/lapack/lapack/zpptrs.f 2017/06/17 10:54:26 1.15
@@ -1,9 +1,117 @@
+*> \brief \b ZPPTRS
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download ZPPTRS + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE ZPPTRS( UPLO, N, NRHS, AP, B, LDB, INFO )
+*
+* .. Scalar Arguments ..
+* CHARACTER UPLO
+* INTEGER INFO, LDB, N, NRHS
+* ..
+* .. Array Arguments ..
+* COMPLEX*16 AP( * ), B( LDB, * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> ZPPTRS solves a system of linear equations A*X = B with a Hermitian
+*> positive definite matrix A in packed storage using the Cholesky
+*> factorization A = U**H * U or A = L * L**H computed by ZPPTRF.
+*> \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] AP
+*> \verbatim
+*> AP is COMPLEX*16 array, dimension (N*(N+1)/2)
+*> The triangular factor U or L from the Cholesky factorization
+*> A = U**H * U or A = L * L**H, packed columnwise in a linear
+*> array. The j-th column of U or L is stored in the array AP
+*> as follows:
+*> if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j;
+*> if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=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 December 2016
+*
+*> \ingroup complex16OTHERcomputational
+*
+* =====================================================================
SUBROUTINE ZPPTRS( UPLO, N, NRHS, AP, B, LDB, INFO )
*
-* -- LAPACK routine (version 3.2) --
+* -- 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..--
-* November 2006
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
@@ -13,46 +121,6 @@
COMPLEX*16 AP( * ), B( LDB, * )
* ..
*
-* Purpose
-* =======
-*
-* ZPPTRS solves a system of linear equations A*X = B with a Hermitian
-* positive definite matrix A in packed storage using the Cholesky
-* factorization A = U**H*U or A = L*L**H computed by ZPPTRF.
-*
-* 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.
-*
-* AP (input) COMPLEX*16 array, dimension (N*(N+1)/2)
-* The triangular factor U or L from the Cholesky factorization
-* A = U**H*U or A = L*L**H, packed columnwise in a linear
-* array. The j-th column of U or L is stored in the array AP
-* as follows:
-* if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j;
-* if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=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
-*
* =====================================================================
*
* .. Local Scalars ..
@@ -96,11 +164,11 @@
*
IF( UPPER ) THEN
*
-* Solve A*X = B where A = U'*U.
+* Solve A*X = B where A = U**H * U.
*
DO 10 I = 1, NRHS
*
-* Solve U'*X = B, overwriting B with X.
+* Solve U**H *X = B, overwriting B with X.
*
CALL ZTPSV( 'Upper', 'Conjugate transpose', 'Non-unit', N,
$ AP, B( 1, I ), 1 )
@@ -112,7 +180,7 @@
10 CONTINUE
ELSE
*
-* Solve A*X = B where A = L*L'.
+* Solve A*X = B where A = L * L**H.
*
DO 20 I = 1, NRHS
*
@@ -121,7 +189,7 @@
CALL ZTPSV( 'Lower', 'No transpose', 'Non-unit', N, AP,
$ B( 1, I ), 1 )
*
-* Solve L'*X = Y, overwriting B with X.
+* Solve L**H *X = Y, overwriting B with X.
*
CALL ZTPSV( 'Lower', 'Conjugate transpose', 'Non-unit', N,
$ AP, B( 1, I ), 1 )