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NAME
csymm - perform one of the matrix-matrix operations C :=
alpha*A*B + beta*C or C := alpha*B*A + beta*C
SYNOPSIS
SUBROUTINE CSYMM ( SIDE, UPLO, M, N, ALPHA, A, LDA, B, LDB,
BETA, C, LDC )
CHARACTER*1 SIDE, UPLO
INTEGER M, N, LDA, LDB, LDC
COMPLEX ALPHA, BETA
COMPLEX A( LDA, * ), B( LDB, * ), C( LDC, * )
#include <sunperf.h>
void csymm(char side, char uplo, int m, int n, complex *cal-
pha, complex *ca, int lda, complex *cb, int ldb,
complex *cbeta, complex *cc, int ldc) ;
PURPOSE
CSYMM performs one of the matrix-matrix operations C :=
alpha*A*B + beta*C or C := alpha*B*A + beta*C where alpha
and beta are scalars, A is a symmetric matrix and B and C
are m by n matrices.
PARAMETERS
SIDE - CHARACTER*1.
On entry, SIDE specifies whether the symmetric
matrix A appears on the left or right in the
operation as follows:
SIDE = 'L' or 'l' C := alpha*A*B + beta*C,
SIDE = 'R' or 'r' C := alpha*B*A + beta*C,
Unchanged on exit.
UPLO - CHARACTER*1.
On entry, UPLO specifies whether the upper
or lower triangular part of the symmetric
matrix A is to be referenced as follows:
UPLO = 'U' or 'u' Only the upper triangular part
of the symmetric matrix is to be referenced.
UPLO = 'L' or 'l' Only the lower triangular part
of the symmetric matrix is to be referenced.
Unchanged on exit.
M - INTEGER.
On entry, M specifies the number of rows 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 C. N 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
m when SIDE = 'L' or 'l' and is n otherwise.
Before entry with SIDE = 'L' or 'l', the m by
m part of the array A must contain the sym-
metric matrix, such that when UPLO = 'U' or 'u',
the leading m by m upper triangular part of the
array A must contain the upper triangular part
of the symmetric matrix and the strictly lower
triangular part of A is not referenced, and
when UPLO = 'L' or 'l', the leading m by m
lower triangular part of the array A must con-
tain the lower triangular part of the sym-
metric matrix and the strictly upper triangular
part of A is not referenced.
Before entry with SIDE = 'R' or 'r', the n by
n part of the array A must contain the sym-
metric matrix, such that when UPLO = 'U' or 'u',
the leading n by n upper triangular part of the
array A must contain the upper triangular part
of the symmetric matrix and the strictly lower
triangular part of A is not referenced, and
when UPLO = 'L' or 'l', the leading n by n
lower triangular part of the array A must con-
tain the lower triangular part of the sym-
metric matrix and the strictly upper triangular
part of A is not referenced.
Unchanged on exit.
LDA - INTEGER.
On entry, LDA specifies the first dimension of A
as declared in the calling (sub) program. When
SIDE = 'L' or 'l' then LDA must be at least max(
1, m ), otherwise LDA must be at least max( 1, n
). Unchanged on exit.
B - COMPLEX array of DIMENSION ( LDB, n ).
Before entry, the leading m by n 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.
LDB must be at least max( 1, m ). 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 updated matrix.
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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