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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 SSYMM(SIDE,UPLO,M,N,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
-* .. Scalar Arguments ..
- REAL ALPHA,BETA
- INTEGER LDA,LDB,LDC,M,N
- CHARACTER SIDE,UPLO
-* ..
-* .. Array Arguments ..
- REAL A(LDA,*),B(LDB,*),C(LDC,*)
-* ..
+*> \brief \b SSYMM
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
+* Definition
+* ==========
+*
+* SUBROUTINE SSYMM(SIDE,UPLO,M,N,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
+*
+* .. Scalar Arguments ..
+* REAL ALPHA,BETA
+* INTEGER LDA,LDB,LDC,M,N
+* CHARACTER SIDE,UPLO
+* ..
+* .. Array Arguments ..
+* REAL A(LDA,*),B(LDB,*),C(LDC,*)
+* ..
+*
* Purpose
* =======
*
-* SSYMM performs one of the matrix-matrix operations
-*
-* C := alpha*A*B + beta*C,
+*>\details \b Purpose:
+*>\verbatim
+*>
+*> SSYMM performs one of the matrix-matrix operations
+*>
+*> C := alpha*A*B + beta*C,
+*>
+*> or
+*>
+*> C := alpha*B*A + beta*C,
+*>
+*> where alpha and beta are scalars, A is a symmetric matrix and B and
+*> C are m by n matrices.
+*>
+*>\endverbatim
*
-* or
+* Arguments
+* =========
+*
+*> \param[in] SIDE
+*> \verbatim
+*> SIDE is CHARACTER*1
+*> On entry, SIDE specifies whether the symmetric matrix A
+*> appears on the left or right in the operation as follows:
+*> \endverbatim
+*> \verbatim
+*> SIDE = 'L' or 'l' C := alpha*A*B + beta*C,
+*> \endverbatim
+*> \verbatim
+*> SIDE = 'R' or 'r' C := alpha*B*A + beta*C,
+*> \endverbatim
+*>
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> On entry, UPLO specifies whether the upper or lower
+*> triangular part of the symmetric matrix A is to be
+*> referenced as follows:
+*> \endverbatim
+*> \verbatim
+*> UPLO = 'U' or 'u' Only the upper triangular part of the
+*> symmetric matrix is to be referenced.
+*> \endverbatim
+*> \verbatim
+*> UPLO = 'L' or 'l' Only the lower triangular part of the
+*> symmetric matrix is to be referenced.
+*> \endverbatim
+*>
+*> \param[in] M
+*> \verbatim
+*> M is INTEGER
+*> On entry, M specifies the number of rows of the matrix C.
+*> M must be at least zero.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> On entry, N specifies the number of columns of the matrix C.
+*> N must be at least zero.
+*> \endverbatim
+*>
+*> \param[in] ALPHA
+*> \verbatim
+*> ALPHA is REAL
+*> On entry, ALPHA specifies the scalar alpha.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*> A is REAL array of DIMENSION ( LDA, ka ), where ka is
+*> m when SIDE = 'L' or 'l' and is n otherwise.
+*> Before entry with SIDE = 'L' or 'l', the m by m part of
+*> the array A must contain the symmetric matrix, such that
+*> when UPLO = 'U' or 'u', the leading m by m upper triangular
+*> part of the array A must contain the upper triangular part
+*> of the symmetric matrix and the strictly lower triangular
+*> part of A is not referenced, and when UPLO = 'L' or 'l',
+*> the leading m by m lower triangular part of the array A
+*> must contain the lower triangular part of the symmetric
+*> matrix and the strictly upper triangular part of A is not
+*> referenced.
+*> Before entry with SIDE = 'R' or 'r', the n by n part of
+*> the array A must contain the symmetric matrix, such that
+*> when UPLO = 'U' or 'u', the leading n by n upper triangular
+*> part of the array A must contain the upper triangular part
+*> of the symmetric matrix and the strictly lower triangular
+*> part of A is not referenced, and when UPLO = 'L' or 'l',
+*> the leading n by n lower triangular part of the array A
+*> must contain the lower triangular part of the symmetric
+*> matrix and the strictly upper triangular part of A is not
+*> referenced.
+*> \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 ), otherwise LDA must be at
+*> least max( 1, n ).
+*> \endverbatim
+*>
+*> \param[in] B
+*> \verbatim
+*> B is REAL array of DIMENSION ( LDB, n ).
+*> Before entry, the leading m by n part of the array B must
+*> contain the matrix B.
+*> \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
+*>
+*> \param[in] BETA
+*> \verbatim
+*> BETA is REAL
+*> On entry, BETA specifies the scalar beta. When BETA is
+*> supplied as zero then C need not be set on input.
+*> \endverbatim
+*>
+*> \param[in,out] C
+*> \verbatim
+*> C is REAL array of DIMENSION ( LDC, n ).
+*> Before entry, the leading m by n part of the array C must
+*> contain the matrix C, except when beta is zero, in which
+*> case C need not be set on entry.
+*> On exit, the array C is overwritten by the m by n updated
+*> matrix.
+*> \endverbatim
+*>
+*> \param[in] LDC
+*> \verbatim
+*> LDC is INTEGER
+*> On entry, LDC specifies the first dimension of C as declared
+*> in the calling (sub) program. LDC must be at least
+*> max( 1, m ).
+*> \endverbatim
+*>
+*
+* Authors
+* =======
*
-* C := alpha*B*A + beta*C,
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-* where alpha and beta are scalars, A is a symmetric matrix and B and
-* C are m by n matrices.
+*> \date November 2011
*
-* Arguments
-* ==========
+*> \ingroup single_blas_level3
*
-* SIDE - CHARACTER*1.
-* On entry, SIDE specifies whether the symmetric matrix A
-* appears on the left or right in the operation as follows:
-*
-* SIDE = 'L' or 'l' C := alpha*A*B + beta*C,
-*
-* SIDE = 'R' or 'r' C := alpha*B*A + beta*C,
-*
-* Unchanged on exit.
-*
-* UPLO - CHARACTER*1.
-* On entry, UPLO specifies whether the upper or lower
-* triangular part of the symmetric matrix A is to be
-* referenced as follows:
-*
-* UPLO = 'U' or 'u' Only the upper triangular part of the
-* symmetric matrix is to be referenced.
-*
-* UPLO = 'L' or 'l' Only the lower triangular part of the
-* symmetric matrix is to be referenced.
-*
-* Unchanged on exit.
-*
-* M - INTEGER.
-* On entry, M specifies the number of rows of the matrix C.
-* M must be at least zero.
-* Unchanged on exit.
-*
-* N - INTEGER.
-* On entry, N specifies the number of columns of the matrix C.
-* N must be at least zero.
-* Unchanged on exit.
-*
-* ALPHA - REAL .
-* On entry, ALPHA specifies the scalar alpha.
-* Unchanged on exit.
-*
-* A - REAL array of DIMENSION ( LDA, ka ), where ka is
-* m when SIDE = 'L' or 'l' and is n otherwise.
-* Before entry with SIDE = 'L' or 'l', the m by m part of
-* the array A must contain the symmetric matrix, such that
-* when UPLO = 'U' or 'u', the leading m by m upper triangular
-* part of the array A must contain the upper triangular part
-* of the symmetric matrix and the strictly lower triangular
-* part of A is not referenced, and when UPLO = 'L' or 'l',
-* the leading m by m lower triangular part of the array A
-* must contain the lower triangular part of the symmetric
-* matrix and the strictly upper triangular part of A is not
-* referenced.
-* Before entry with SIDE = 'R' or 'r', the n by n part of
-* the array A must contain the symmetric matrix, such that
-* when UPLO = 'U' or 'u', the leading n by n upper triangular
-* part of the array A must contain the upper triangular part
-* of the symmetric matrix and the strictly lower triangular
-* part of A is not referenced, and when UPLO = 'L' or 'l',
-* the leading n by n lower triangular part of the array A
-* must contain the lower triangular part of the symmetric
-* matrix and the strictly upper triangular part of A is not
-* referenced.
-* Unchanged on exit.
-*
-* 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 ), otherwise LDA must be at
-* least max( 1, n ).
-* Unchanged on exit.
-*
-* B - REAL array of DIMENSION ( LDB, n ).
-* Before entry, the leading m by n part of the array B must
-* contain the matrix B.
-* Unchanged on exit.
-*
-* 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.
-*
-* BETA - REAL .
-* On entry, BETA specifies the scalar beta. When BETA is
-* supplied as zero then C need not be set on input.
-* Unchanged on exit.
-*
-* C - REAL array of DIMENSION ( LDC, n ).
-* Before entry, the leading m by n part of the array C must
-* contain the matrix C, except when beta is zero, in which
-* case C need not be set on entry.
-* On exit, the array C is overwritten by the m by n updated
-* matrix.
-*
-* LDC - INTEGER.
-* On entry, LDC specifies the first dimension of C as declared
-* in the calling (sub) program. LDC 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 SSYMM(SIDE,UPLO,M,N,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
*
-* 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 ..
+ REAL ALPHA,BETA
+ INTEGER LDA,LDB,LDC,M,N
+ CHARACTER SIDE,UPLO
+* ..
+* .. Array Arguments ..
+ REAL A(LDA,*),B(LDB,*),C(LDC,*)
+* ..
*
* =====================================================================
*