NAME

SYNOPSIS

  SUBROUTINE ZGEMM( TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, 
 *      BETA, C, LDC)
  CHARACTER * 1 TRANSA, TRANSB
  DOUBLE COMPLEX ALPHA, BETA
  DOUBLE COMPLEX A(LDA,*), B(LDB,*), C(LDC,*)
  INTEGER M, N, K, LDA, LDB, LDC
 
  SUBROUTINE ZGEMM_64( TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, 
 *      BETA, C, LDC)
  CHARACTER * 1 TRANSA, TRANSB
  DOUBLE COMPLEX ALPHA, BETA
  DOUBLE COMPLEX A(LDA,*), B(LDB,*), C(LDC,*)
  INTEGER*8 M, N, K, LDA, LDB, LDC
 

F95 INTERFACE

  SUBROUTINE GEMM( [TRANSA], [TRANSB], [M], [N], [K], ALPHA, A, [LDA], 
 *       B, [LDB], BETA, C, [LDC])
  CHARACTER(LEN=1) :: TRANSA, TRANSB
  COMPLEX(8) :: ALPHA, BETA
  COMPLEX(8), DIMENSION(:,:) :: A, B, C
  INTEGER :: M, N, K, LDA, LDB, LDC
 
  SUBROUTINE GEMM_64( [TRANSA], [TRANSB], [M], [N], [K], ALPHA, A, 
 *       [LDA], B, [LDB], BETA, C, [LDC])
  CHARACTER(LEN=1) :: TRANSA, TRANSB
  COMPLEX(8) :: ALPHA, BETA
  COMPLEX(8), DIMENSION(:,:) :: A, B, C
  INTEGER(8) :: M, N, K, LDA, LDB, LDC
 

C INTERFACE

void zgemm(char transa, char transb, int m, int n, int k, doublecomplex alpha, doublecomplex *a, int lda, doublecomplex *b, int ldb, doublecomplex beta, doublecomplex *c, int ldc);

void zgemm_64(char transa, char transb, long m, long n, long k, doublecomplex alpha, doublecomplex *a, long lda, doublecomplex *b, long ldb, doublecomplex beta, doublecomplex *c, long ldc);

PURPOSE

C := alpha*op( A )*op( B ) + beta*C

where op( X ) is one of

op(X) = X or op(X) = X' or op(X) = conjg(X'), 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.

ARGUMENTS

* TRANSA (input)

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'.

TRANSA = 'C' or 'c', op( A ) = conjg( A' ).

Unchanged on exit.

* TRANSB (input)

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'.

TRANSB = 'C' or 'c', op( B ) = conjg( B' ).

Unchanged on exit.

* M (input)

On entry, M specifies the number of rows of the matrix op( A ) and of the matrix C. M >= 0. Unchanged on exit.

* N (input)

On entry, N specifies the number of columns of the matrix op( B ) and the number of columns of the matrix C. N >= 0. Unchanged on exit.

* K (input)

On entry, K specifies the number of columns of the matrix op( A ) and the number of rows of the matrix op( B ). K >= 0. Unchanged on exit.

* ALPHA (input)

On entry, ALPHA specifies the scalar alpha. Unchanged on exit.

* A (input)

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 (input)

On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. When TRANSA = 'N' or 'n' then LDA >= max(1, M), otherwise LDA >= max(1, K). Unchanged on exit.

* B (input)

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 (input)

On entry, LDB specifies the first dimension of B as declared in the calling (sub) program. When TRANSB = 'N' or 'n' then LDB >= max( 1, k ), otherwise LDB >= max( 1, n ). Unchanged on exit.

* BETA (input)

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 (input/output)

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 (input)

On entry, LDC specifies the first dimension of C as declared in the calling (sub) program. LDC >= max( 1, m ). Unchanged on exit.