ZSYMM - perform one of the matrix-matrix operations C :=
alpha*A*B + beta*C,
SYNOPSIS
SUBROUTINE ZSYMM ( SIDE, UPLO, M, N, ALPHA, A, LDA, B,
LDB, BETA, C, LDC )
CHARACTER*1 SIDE, UPLO
INTEGER M, N, LDA, LDB, LDC
COMPLEX*16 ALPHA, BETA
COMPLEX*16 A( LDA, * ), B( LDB, * ), C( LDC, * )
PURPOSE
ZSYMM performs one of the matrix-matrix operations
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
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*16 .
On entry, ALPHA specifies the scalar alpha.
Unchanged on exit.
A - COMPLEX*16 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 symmetric
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 triangu
lar 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 contain the lower
triangular part of the symmetric matrix and the
strictly upper triangular part of A is not refer
enced. Before entry with SIDE = 'R' or 'r', the
n by n part of the array A must contain the
symmetric 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 symmetric
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*16 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
BETA - COMPLEX*16 .
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*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 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.
Level 3 Blas routine.
-- Written on 8-February-1989. Jack Dongarra,
Argonne National Laboratory. Iain Duff, AERE Har
well. Jeremy Du Croz, Numerical Algorithms Group
Ltd. Sven Hammarling, Numerical Algorithms Group
Ltd.
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