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NAME
cgemm - perform one of the matrix-matrix operations C :=
alpha*op( A )*op( B ) + beta*C
SYNOPSIS
SUBROUTINE CGEMM ( TRANSA, TRANSB, M, N, K, ALPHA, A, LDA,
B, LDB, BETA, C, LDC )
CHARACTER*1 TRANSA, TRANSB
INTEGER M, N, K, LDA, LDB, LDC
COMPLEX ALPHA, BETA
COMPLEX A( LDA, * ), B( LDB, * ), C( LDC, * )
#include <sunperf.h>
void cgemm(char transa, char transb, int m, int n, int k,
complex *calpha, complex *ca, int lda, complex
*cb, int ldb, complex *cbeta, complex *cc, int
ldc);
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' 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.
PARAMETERS
TRANSA - CHARACTER*1. On entry, TRANSA specifies the form
of op( A ) to be used in the matrix multiplication as fol-
lows:
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 - CHARACTER*1. On entry, TRANSB specifies the form
of op( B ) to be used in the matrix multiplication as fol-
lows:
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 - 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.
On entry, ALPHA specifies the scalar alpha.
Unchanged on exit.
A - COMPLEX array of DIMENSION ( LDA, ka ), where ka
is
k when TRANSA = 'N' or 'n', and is m other-
wise. 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 array of DIMENSION ( LDB, kb ), where kb
is
n when TRANSB = 'N' or 'n', and is k other-
wise. 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.
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 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.
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