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authorjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
committerjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
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- SUBROUTINE DTRSM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
-* .. Scalar Arguments ..
- DOUBLE PRECISION ALPHA
- INTEGER LDA,LDB,M,N
- CHARACTER DIAG,SIDE,TRANSA,UPLO
-* ..
-* .. Array Arguments ..
- DOUBLE PRECISION A(LDA,*),B(LDB,*)
-* ..
-*
-* Purpose
-* =======
+*> \brief \b DTRSM
*
-* DTRSM solves one of the matrix equations
+* =========== DOCUMENTATION ===========
*
-* op( A )*X = alpha*B, or X*op( A ) = alpha*B,
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
-* where alpha is a scalar, X and B are m by n matrices, A is a unit, or
-* non-unit, upper or lower triangular matrix and op( A ) is one of
-*
-* op( A ) = A or op( A ) = A**T.
-*
-* The matrix X is overwritten on B.
-*
-* Arguments
+* Definition
* ==========
*
-* SIDE - CHARACTER*1.
-* On entry, SIDE specifies whether op( A ) appears on the left
-* or right of X as follows:
-*
-* SIDE = 'L' or 'l' op( A )*X = alpha*B.
-*
-* SIDE = 'R' or 'r' X*op( A ) = alpha*B.
-*
-* Unchanged on exit.
-*
-* UPLO - CHARACTER*1.
-* On entry, UPLO specifies whether the matrix A is an upper or
-* lower triangular matrix as follows:
-*
-* UPLO = 'U' or 'u' A is an upper triangular matrix.
-*
-* UPLO = 'L' or 'l' A is a lower triangular matrix.
-*
-* Unchanged on exit.
-*
-* TRANSA - CHARACTER*1.
-* On entry, TRANSA specifies the form of op( A ) to be used in
-* the matrix multiplication as follows:
-*
-* TRANSA = 'N' or 'n' op( A ) = A.
-*
-* TRANSA = 'T' or 't' op( A ) = A**T.
-*
-* TRANSA = 'C' or 'c' op( A ) = A**T.
-*
-* Unchanged on exit.
-*
-* DIAG - CHARACTER*1.
-* On entry, DIAG specifies whether or not A is unit triangular
-* as follows:
-*
-* DIAG = 'U' or 'u' A is assumed to be unit triangular.
-*
-* DIAG = 'N' or 'n' A is not assumed to be unit
-* triangular.
-*
-* Unchanged on exit.
-*
-* M - INTEGER.
-* On entry, M specifies the number of rows of B. M must be at
-* least zero.
-* Unchanged on exit.
+* SUBROUTINE DTRSM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
+*
+* .. Scalar Arguments ..
+* DOUBLE PRECISION ALPHA
+* INTEGER LDA,LDB,M,N
+* CHARACTER DIAG,SIDE,TRANSA,UPLO
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION A(LDA,*),B(LDB,*)
+* ..
+*
+* Purpose
+* =======
*
-* N - INTEGER.
-* On entry, N specifies the number of columns of B. N must be
-* at least zero.
-* Unchanged on exit.
+*>\details \b Purpose:
+*>\verbatim
+*>
+*> DTRSM solves one of the matrix equations
+*>
+*> op( A )*X = alpha*B, or X*op( A ) = alpha*B,
+*>
+*> where alpha is a scalar, X and B are m by n matrices, A is a unit, or
+*> non-unit, upper or lower triangular matrix and op( A ) is one of
+*>
+*> op( A ) = A or op( A ) = A**T.
+*>
+*> The matrix X is overwritten on B.
+*>
+*>\endverbatim
*
-* ALPHA - DOUBLE PRECISION.
-* On entry, ALPHA specifies the scalar alpha. When alpha is
-* zero then A is not referenced and B need not be set before
-* entry.
-* Unchanged on exit.
+* Arguments
+* =========
+*
+*> \param[in] SIDE
+*> \verbatim
+*> SIDE is CHARACTER*1
+*> On entry, SIDE specifies whether op( A ) appears on the left
+*> or right of X as follows:
+*> \endverbatim
+*> \verbatim
+*> SIDE = 'L' or 'l' op( A )*X = alpha*B.
+*> \endverbatim
+*> \verbatim
+*> SIDE = 'R' or 'r' X*op( A ) = alpha*B.
+*> \endverbatim
+*>
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> On entry, UPLO specifies whether the matrix A is an upper or
+*> lower triangular matrix as follows:
+*> \endverbatim
+*> \verbatim
+*> UPLO = 'U' or 'u' A is an upper triangular matrix.
+*> \endverbatim
+*> \verbatim
+*> UPLO = 'L' or 'l' A is a lower triangular matrix.
+*> \endverbatim
+*>
+*> \param[in] TRANSA
+*> \verbatim
+*> TRANSA is CHARACTER*1
+*> On entry, TRANSA specifies the form of op( A ) to be used in
+*> the matrix multiplication as follows:
+*> \endverbatim
+*> \verbatim
+*> TRANSA = 'N' or 'n' op( A ) = A.
+*> \endverbatim
+*> \verbatim
+*> TRANSA = 'T' or 't' op( A ) = A**T.
+*> \endverbatim
+*> \verbatim
+*> TRANSA = 'C' or 'c' op( A ) = A**T.
+*> \endverbatim
+*>
+*> \param[in] DIAG
+*> \verbatim
+*> DIAG is CHARACTER*1
+*> On entry, DIAG specifies whether or not A is unit triangular
+*> as follows:
+*> \endverbatim
+*> \verbatim
+*> DIAG = 'U' or 'u' A is assumed to be unit triangular.
+*> \endverbatim
+*> \verbatim
+*> DIAG = 'N' or 'n' A is not assumed to be unit
+*> triangular.
+*> \endverbatim
+*>
+*> \param[in] M
+*> \verbatim
+*> M is INTEGER
+*> On entry, M specifies the number of rows of B. M must be at
+*> least zero.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> On entry, N specifies the number of columns of B. N must be
+*> at least zero.
+*> \endverbatim
+*>
+*> \param[in] ALPHA
+*> \verbatim
+*> ALPHA is DOUBLE PRECISION.
+*> On entry, ALPHA specifies the scalar alpha. When alpha is
+*> zero then A is not referenced and B need not be set before
+*> entry.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*> A is DOUBLE PRECISION array of 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
+*> triangular matrix and the strictly lower triangular part of
+*> A is not referenced.
+*> Before entry with UPLO = 'L' or 'l', the leading k by k
+*> lower triangular part of the array A must contain the lower
+*> triangular matrix and the strictly upper triangular part of
+*> A is not referenced.
+*> Note that when DIAG = 'U' or 'u', the diagonal elements of
+*> A are not referenced either, but are assumed to be unity.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> On entry, LDA specifies the first dimension of A as declared
+*> in the calling (sub) program. When SIDE = 'L' or 'l' then
+*> LDA must be at least max( 1, m ), when SIDE = 'R' or 'r'
+*> then LDA must be at least max( 1, n ).
+*> \endverbatim
+*>
+*> \param[in,out] B
+*> \verbatim
+*> B is DOUBLE PRECISION array of 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.
+*> \endverbatim
+*>
+*> \param[in] LDB
+*> \verbatim
+*> LDB is INTEGER
+*> On entry, LDB specifies the first dimension of B as declared
+*> in the calling (sub) program. LDB must be at least
+*> max( 1, m ).
+*> \endverbatim
+*>
+*
+* Authors
+* =======
*
-* A - DOUBLE PRECISION array of 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
-* triangular matrix and the strictly lower triangular part of
-* A is not referenced.
-* Before entry with UPLO = 'L' or 'l', the leading k by k
-* lower triangular part of the array A must contain the lower
-* triangular matrix and the strictly upper triangular part of
-* A is not referenced.
-* Note that when DIAG = 'U' or 'u', the diagonal elements of
-* A are not referenced either, but are assumed to be unity.
-* Unchanged on exit.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-* LDA - INTEGER.
-* On entry, LDA specifies the first dimension of A as declared
-* in the calling (sub) program. When SIDE = 'L' or 'l' then
-* LDA must be at least max( 1, m ), when SIDE = 'R' or 'r'
-* then LDA must be at least max( 1, n ).
-* Unchanged on exit.
+*> \date November 2011
*
-* B - DOUBLE PRECISION array of 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.
+*> \ingroup double_blas_level3
*
-* LDB - INTEGER.
-* On entry, LDB specifies the first dimension of B as declared
-* in the calling (sub) program. LDB must be at least
-* max( 1, m ).
-* Unchanged on exit.
*
* Further Details
* ===============
+*>\details \b Further \b Details
+*> \verbatim
+*>
+*> Level 3 Blas routine.
+*>
+*>
+*> -- Written on 8-February-1989.
+*> Jack Dongarra, Argonne National Laboratory.
+*> Iain Duff, AERE Harwell.
+*> Jeremy Du Croz, Numerical Algorithms Group Ltd.
+*> Sven Hammarling, Numerical Algorithms Group Ltd.
+*>
+*> \endverbatim
+*>
+* =====================================================================
+ SUBROUTINE DTRSM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
*
-* Level 3 Blas routine.
-*
+* -- Reference BLAS level3 routine (version 3.4.0) --
+* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
+* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+* November 2011
*
-* -- Written on 8-February-1989.
-* Jack Dongarra, Argonne National Laboratory.
-* Iain Duff, AERE Harwell.
-* Jeremy Du Croz, Numerical Algorithms Group Ltd.
-* Sven Hammarling, Numerical Algorithms Group Ltd.
+* .. Scalar Arguments ..
+ DOUBLE PRECISION ALPHA
+ INTEGER LDA,LDB,M,N
+ CHARACTER DIAG,SIDE,TRANSA,UPLO
+* ..
+* .. Array Arguments ..
+ DOUBLE PRECISION A(LDA,*),B(LDB,*)
+* ..
*
* =====================================================================
*