--- rpl/lapack/lapack/dtptrs.f 2010/04/21 13:45:26 1.2
+++ rpl/lapack/lapack/dtptrs.f 2023/08/07 08:39:13 1.18
@@ -1,9 +1,136 @@
+*> \brief \b DTPTRS
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DTPTRS + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE DTPTRS( UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, INFO )
+*
+* .. Scalar Arguments ..
+* CHARACTER DIAG, TRANS, UPLO
+* INTEGER INFO, LDB, N, NRHS
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION AP( * ), B( LDB, * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DTPTRS solves a triangular system of the form
+*>
+*> A * X = B or A**T * X = B,
+*>
+*> where A is a triangular matrix of order N stored in packed format,
+*> and B is an N-by-NRHS matrix. A check is made to verify that A is
+*> nonsingular.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> = 'U': A is upper triangular;
+*> = 'L': A is lower triangular.
+*> \endverbatim
+*>
+*> \param[in] TRANS
+*> \verbatim
+*> TRANS is CHARACTER*1
+*> Specifies the form of the system of equations:
+*> = 'N': A * X = B (No transpose)
+*> = 'T': A**T * X = B (Transpose)
+*> = 'C': A**H * X = B (Conjugate transpose = Transpose)
+*> \endverbatim
+*>
+*> \param[in] DIAG
+*> \verbatim
+*> DIAG is CHARACTER*1
+*> = 'N': A is non-unit triangular;
+*> = 'U': A is unit triangular.
+*> \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 DOUBLE PRECISION array, dimension (N*(N+1)/2)
+*> The upper or lower triangular matrix A, packed columnwise in
+*> a linear array. The j-th column of A is stored in the array
+*> AP as follows:
+*> if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
+*> if UPLO = 'L', AP(i + (j-1)*(2*n-j)/2) = A(i,j) for j<=i<=n.
+*> \endverbatim
+*>
+*> \param[in,out] B
+*> \verbatim
+*> B is DOUBLE PRECISION array, dimension (LDB,NRHS)
+*> On entry, the right hand side matrix B.
+*> On exit, if INFO = 0, 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
+*> > 0: if INFO = i, the i-th diagonal element of A is zero,
+*> indicating that the matrix is singular and the
+*> solutions X have not been computed.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \ingroup doubleOTHERcomputational
+*
+* =====================================================================
SUBROUTINE DTPTRS( UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, INFO )
*
-* -- LAPACK routine (version 3.2) --
+* -- LAPACK computational routine --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
*
* .. Scalar Arguments ..
CHARACTER DIAG, TRANS, UPLO
@@ -13,62 +140,6 @@
DOUBLE PRECISION AP( * ), B( LDB, * )
* ..
*
-* Purpose
-* =======
-*
-* DTPTRS solves a triangular system of the form
-*
-* A * X = B or A**T * X = B,
-*
-* where A is a triangular matrix of order N stored in packed format,
-* and B is an N-by-NRHS matrix. A check is made to verify that A is
-* nonsingular.
-*
-* Arguments
-* =========
-*
-* UPLO (input) CHARACTER*1
-* = 'U': A is upper triangular;
-* = 'L': A is lower triangular.
-*
-* TRANS (input) CHARACTER*1
-* Specifies the form of the system of equations:
-* = 'N': A * X = B (No transpose)
-* = 'T': A**T * X = B (Transpose)
-* = 'C': A**H * X = B (Conjugate transpose = Transpose)
-*
-* DIAG (input) CHARACTER*1
-* = 'N': A is non-unit triangular;
-* = 'U': A is unit triangular.
-*
-* 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) DOUBLE PRECISION array, dimension (N*(N+1)/2)
-* The upper or lower triangular matrix A, packed columnwise in
-* a linear array. The j-th column of A is stored in the array
-* AP as follows:
-* if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
-* if UPLO = 'L', AP(i + (j-1)*(2*n-j)/2) = A(i,j) for j<=i<=n.
-*
-* B (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS)
-* On entry, the right hand side matrix B.
-* On exit, if INFO = 0, 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
-* > 0: if INFO = i, the i-th diagonal element of A is zero,
-* indicating that the matrix is singular and the
-* solutions X have not been computed.
-*
* =====================================================================
*
* .. Parameters ..
@@ -141,7 +212,7 @@
END IF
INFO = 0
*
-* Solve A * x = b or A' * x = b.
+* Solve A * x = b or A**T * x = b.
*
DO 30 J = 1, NRHS
CALL DTPSV( UPLO, TRANS, DIAG, N, AP, B( 1, J ), 1 )