zgemm(3P) Sun Performance Library zgemm(3P)NAMEzgemm - perform one of the matrix-matrix operations C := alpha*op( A
)*op( B ) + beta*C
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
#include <sunperf.h>
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, double‐
complex *alpha, doublecomplex *a, long lda, doublecomplex *b,
long ldb, doublecomplex *beta, doublecomplex *c, long ldc);
PURPOSEzgemm 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' 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.
TRANSA is defaulted to 'N' for F95 INTERFACE.
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.
TRANSB is defaulted to 'N' for F95 INTERFACE.
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)
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 (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)
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 (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)
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 (input)
On entry, LDC specifies the first dimension of C as declared
in the calling (sub) program. LDC >= max( 1, m ).
Unchanged on exit.
6 Mar 2009 zgemm(3P)
