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Diffstat (limited to 'BLAS/SRC/zgemm.f')
| -rw-r--r-- | BLAS/SRC/zgemm.f | 314 |
1 files changed, 198 insertions, 116 deletions
diff --git a/BLAS/SRC/zgemm.f b/BLAS/SRC/zgemm.f index 8954cbfb..6aaf515e 100644 --- a/BLAS/SRC/zgemm.f +++ b/BLAS/SRC/zgemm.f @@ -1,133 +1,215 @@ - SUBROUTINE ZGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC) -* .. Scalar Arguments .. - COMPLEX*16 ALPHA,BETA - INTEGER K,LDA,LDB,LDC,M,N - CHARACTER TRANSA,TRANSB -* .. -* .. Array Arguments .. - COMPLEX*16 A(LDA,*),B(LDB,*),C(LDC,*) -* .. +*> \brief \b ZGEMM +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ * +* Definition +* ========== +* +* SUBROUTINE ZGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC) +* +* .. Scalar Arguments .. +* COMPLEX*16 ALPHA,BETA +* INTEGER K,LDA,LDB,LDC,M,N +* CHARACTER TRANSA,TRANSB +* .. +* .. Array Arguments .. +* COMPLEX*16 A(LDA,*),B(LDB,*),C(LDC,*) +* .. +* * Purpose * ======= * -* ZGEMM performs one of the matrix-matrix operations -* -* C := alpha*op( A )*op( B ) + beta*C, +*>\details \b Purpose: +*>\verbatim +*> +*> ZGEMM performs one of the matrix-matrix operations +*> +*> C := alpha*op( A )*op( B ) + beta*C, +*> +*> where op( X ) is one of +*> +*> op( X ) = X or op( X ) = X**T or op( X ) = X**H, +*> +*> alpha and beta are scalars, and A, B and C are matrices, with op( A ) +*> an m by k matrix, op( B ) a k by n matrix and C an m by n matrix. +*> +*>\endverbatim * -* where op( X ) is one of +* Arguments +* ========= +* +*> \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**H. +*> \endverbatim +*> +*> \param[in] TRANSB +*> \verbatim +*> TRANSB is CHARACTER*1 +*> On entry, TRANSB specifies the form of op( B ) to be used in +*> the matrix multiplication as follows: +*> \endverbatim +*> \verbatim +*> TRANSB = 'N' or 'n', op( B ) = B. +*> \endverbatim +*> \verbatim +*> TRANSB = 'T' or 't', op( B ) = B**T. +*> \endverbatim +*> \verbatim +*> TRANSB = 'C' or 'c', op( B ) = B**H. +*> \endverbatim +*> +*> \param[in] M +*> \verbatim +*> M is INTEGER +*> On entry, M specifies the number of rows of the matrix +*> op( A ) and 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 +*> op( B ) and the number of columns of the matrix C. N must be +*> at least zero. +*> \endverbatim +*> +*> \param[in] K +*> \verbatim +*> K is INTEGER +*> On entry, K specifies the number of columns of the matrix +*> op( A ) and the number of rows of the matrix op( B ). K must +*> be at least zero. +*> \endverbatim +*> +*> \param[in] ALPHA +*> \verbatim +*> ALPHA is COMPLEX*16 +*> On entry, ALPHA specifies the scalar alpha. +*> \endverbatim +*> +*> \param[in] A +*> \verbatim +*> A is COMPLEX*16 array of DIMENSION ( LDA, ka ), where ka is +*> k when TRANSA = 'N' or 'n', and is m otherwise. +*> Before entry with TRANSA = 'N' or 'n', the leading m by k +*> part of the array A must contain the matrix A, otherwise +*> the leading k by m part of the array A must contain the +*> matrix A. +*> \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 TRANSA = 'N' or 'n' then +*> LDA must be at least max( 1, m ), otherwise LDA must be at +*> least max( 1, k ). +*> \endverbatim +*> +*> \param[in] B +*> \verbatim +*> B is COMPLEX*16 array of DIMENSION ( LDB, kb ), where kb is +*> n when TRANSB = 'N' or 'n', and is k otherwise. +*> Before entry with TRANSB = 'N' or 'n', the leading k by n +*> part of the array B must contain the matrix B, otherwise +*> the leading n by k 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. When TRANSB = 'N' or 'n' then +*> LDB must be at least max( 1, k ), otherwise LDB must be at +*> least max( 1, n ). +*> \endverbatim +*> +*> \param[in] BETA +*> \verbatim +*> BETA is COMPLEX*16 +*> 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 COMPLEX*16 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 matrix +*> ( alpha*op( A )*op( B ) + beta*C ). +*> \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 +* ======= * -* op( X ) = X or op( X ) = X**T or op( X ) = X**H, +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. * -* alpha and beta are scalars, and A, B and C are matrices, with op( A ) -* an m by k matrix, op( B ) a k by n matrix and C an m by n matrix. +*> \date November 2011 * -* Arguments -* ========== +*> \ingroup complex16_blas_level3 * -* 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**H. -* -* Unchanged on exit. -* -* TRANSB - CHARACTER*1. -* On entry, TRANSB specifies the form of op( B ) to be used in -* the matrix multiplication as follows: -* -* TRANSB = 'N' or 'n', op( B ) = B. -* -* TRANSB = 'T' or 't', op( B ) = B**T. -* -* TRANSB = 'C' or 'c', op( B ) = B**H. -* -* Unchanged on exit. -* -* M - INTEGER. -* On entry, M specifies the number of rows of the matrix -* op( A ) and 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 -* op( B ) and the number of columns of the matrix C. N must be -* at least zero. -* Unchanged on exit. -* -* K - INTEGER. -* On entry, K specifies the number of columns of the matrix -* op( A ) and the number of rows of the matrix op( B ). K must -* be at least zero. -* Unchanged on exit. -* -* ALPHA - COMPLEX*16 . -* On entry, ALPHA specifies the scalar alpha. -* Unchanged on exit. -* -* A - COMPLEX*16 array of DIMENSION ( LDA, ka ), where ka is -* k when TRANSA = 'N' or 'n', and is m otherwise. -* Before entry with TRANSA = 'N' or 'n', the leading m by k -* part of the array A must contain the matrix A, otherwise -* the leading k by m part of the array A must contain the -* matrix A. -* Unchanged on exit. -* -* LDA - INTEGER. -* On entry, LDA specifies the first dimension of A as declared -* in the calling (sub) program. When TRANSA = 'N' or 'n' then -* LDA must be at least max( 1, m ), otherwise LDA must be at -* least max( 1, k ). -* Unchanged on exit. -* -* B - COMPLEX*16 array of DIMENSION ( LDB, kb ), where kb is -* n when TRANSB = 'N' or 'n', and is k otherwise. -* Before entry with TRANSB = 'N' or 'n', the leading k by n -* part of the array B must contain the matrix B, otherwise -* the leading n by k 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. When TRANSB = 'N' or 'n' then -* LDB must be at least max( 1, k ), otherwise LDB must be at -* least max( 1, n ). -* Unchanged on exit. -* -* BETA - COMPLEX*16 . -* 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 - COMPLEX*16 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 matrix -* ( alpha*op( A )*op( B ) + beta*C ). -* -* 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 ZGEMM(TRANSA,TRANSB,M,N,K,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 .. + COMPLEX*16 ALPHA,BETA + INTEGER K,LDA,LDB,LDC,M,N + CHARACTER TRANSA,TRANSB +* .. +* .. Array Arguments .. + COMPLEX*16 A(LDA,*),B(LDB,*),C(LDC,*) +* .. * * ===================================================================== * |