cgemm-f(3)

cgemm.f –

Synopsis

Functions/Subroutines

subroutine cgemm (TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
CGEMM

Function/Subroutine Documentation

subroutine cgemm (characterTRANSA, characterTRANSB, integerM, integerN, integerK, complexALPHA, complex, dimension(lda,)A, integerLDA, complex, dimension(ldb,)B, integerLDB, complexBETA, complex, dimension(ldc,*)C, integerLDC)

CGEMM Purpose:

 CGEMM 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.

Parameters:

TRANSA

 TRANSA is 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.

TRANSB

 TRANSB is 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.

 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.

 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.

 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.

ALPHA

 ALPHA is COMPLEX
 On entry, ALPHA specifies the scalar alpha.

 A is COMPLEX 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.

LDA

 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 ).

 B is COMPLEX 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.

LDB

 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 ).

BETA

 BETA is COMPLEX
 On entry, BETA specifies the scalar beta. When BETA is
 supplied as zero then C need not be set on input.

 C is COMPLEX 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

 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 ).

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Further Details:

 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.

Definition at line 188 of file cgemm.f.

Author