SSYMM(1) BLAS routine SSYMM(1)NAME
SSYMM - performs one of the matrix-matrix operations C := alpha*A*B +
beta*C,
SYNOPSIS
SUBROUTINE SSYMM(SIDE,UPLO,M,N,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
REAL ALPHA,BETA
INTEGER LDA,LDB,LDC,M,N
CHARACTER SIDE,UPLO
REAL A(LDA,*),B(LDB,*),C(LDC,*)
PURPOSE
SSYMM 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.
ARGUMENTS
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 sym‐
metric matrix is to be referenced.
UPLO = 'L' or 'l' Only the lower triangular part of the sym‐
metric 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 - REAL .
On entry, ALPHA specifies the scalar alpha. Unchanged on exit.
A - REAL 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 triangular part of A is not refer‐
enced, and when UPLO = 'L' or 'l', the leading m by m lower
triangular part of the array A must contain the lower tri‐
angular part of the symmetric 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 con‐
tain 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 triangu‐
lar part of the array A must contain the lower triangular
part of the symmetric matrix and the strictly upper triangu‐
lar 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 - REAL 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 - REAL .
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 - REAL 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.
FURTHER DETAILS
Level 3 Blas routine.
-- Written on 8-February-1989.
Jack Dongarra, Argonne National Laboratory.
Iain Duff, AERE Harwell.
Jeremy Du Croz, Numerical Algorithms Group Ltd.
Sven Hammarling, Numerical Algorithms Group Ltd.
BLAS routine November 2008 SSYMM(1)
