Note: this is a BLAS routine and is not in libslatec.a
*DECK CSYMM
SUBROUTINE CSYMM (SIDE, UPLO, M, N, ALPHA, A, LDA, B, LDB, BETA,
$ C, LDC)
C***BEGIN PROLOGUE CSYMM
C***PURPOSE Multiply a complex general matrix by a complex symmetric
C matrix.
C***LIBRARY SLATEC (BLAS)
C***CATEGORY D1B6
C***TYPE COMPLEX (SSYMM-S, DSYMM-D, CSYMM-C)
C***KEYWORDS LEVEL 3 BLAS, LINEAR ALGEBRA
C***AUTHOR Dongarra, J., (ANL)
C Duff, I., (AERE)
C Du Croz, J., (NAG)
C Hammarling, S. (NAG)
C***DESCRIPTION
C
C CSYMM performs one of the matrix-matrix operations
C
C C := alpha*A*B + beta*C,
C
C or
C
C C := alpha*B*A + beta*C,
C
C where alpha and beta are scalars, A is a symmetric matrix and B and
C C are m by n matrices.
C
C Parameters
C ==========
C
C SIDE - CHARACTER*1.
C On entry, SIDE specifies whether the symmetric matrix A
C appears on the left or right in the operation as follows:
C
C SIDE = 'L' or 'l' C := alpha*A*B + beta*C,
C
C SIDE = 'R' or 'r' C := alpha*B*A + beta*C,
C
C Unchanged on exit.
C
C UPLO - CHARACTER*1.
C On entry, UPLO specifies whether the upper or lower
C triangular part of the symmetric matrix A is to be
C referenced as follows:
C
C UPLO = 'U' or 'u' Only the upper triangular part of the
C symmetric matrix is to be referenced.
C
C UPLO = 'L' or 'l' Only the lower triangular part of the
C symmetric matrix is to be referenced.
C
C Unchanged on exit.
C
C M - INTEGER.
C On entry, M specifies the number of rows of the matrix C.
C M must be at least zero.
C Unchanged on exit.
C
C N - INTEGER.
C On entry, N specifies the number of columns of the matrix C.
C N must be at least zero.
C Unchanged on exit.
C
C ALPHA - COMPLEX .
C On entry, ALPHA specifies the scalar alpha.
C Unchanged on exit.
C
C A - COMPLEX array of DIMENSION ( LDA, ka ), where ka is
C m when SIDE = 'L' or 'l' and is n otherwise.
C Before entry with SIDE = 'L' or 'l', the m by m part of
C the array A must contain the symmetric matrix, such that
C when UPLO = 'U' or 'u', the leading m by m upper triangular
C part of the array A must contain the upper triangular part
C of the symmetric matrix and the strictly lower triangular
C part of A is not referenced, and when UPLO = 'L' or 'l',
C the leading m by m lower triangular part of the array A
C must contain the lower triangular part of the symmetric
C matrix and the strictly upper triangular part of A is not
C referenced.
C Before entry with SIDE = 'R' or 'r', the n by n part of
C the array A must contain the symmetric matrix, such that
C when UPLO = 'U' or 'u', the leading n by n upper triangular
C part of the array A must contain the upper triangular part
C of the symmetric matrix and the strictly lower triangular
C part of A is not referenced, and when UPLO = 'L' or 'l',
C the leading n by n lower triangular part of the array A
C must contain the lower triangular part of the symmetric
C matrix and the strictly upper triangular part of A is not
C referenced.
C Unchanged on exit.
C
C LDA - INTEGER.
C On entry, LDA specifies the first dimension of A as declared
C in the calling (sub) program. When SIDE = 'L' or 'l' then
C LDA must be at least max( 1, m ), otherwise LDA must be at
C least max( 1, n ).
C Unchanged on exit.
C
C B - COMPLEX array of DIMENSION ( LDB, n ).
C Before entry, the leading m by n part of the array B must
C contain the matrix B.
C Unchanged on exit.
C
C LDB - INTEGER.
C On entry, LDB specifies the first dimension of B as declared
C in the calling (sub) program. LDB must be at least
C max( 1, m ).
C Unchanged on exit.
C
C BETA - COMPLEX .
C On entry, BETA specifies the scalar beta. When BETA is
C supplied as zero then C need not be set on input.
C Unchanged on exit.
C
C C - COMPLEX array of DIMENSION ( LDC, n ).
C Before entry, the leading m by n part of the array C must
C contain the matrix C, except when beta is zero, in which
C case C need not be set on entry.
C On exit, the array C is overwritten by the m by n updated
C matrix.
C
C LDC - INTEGER.
C On entry, LDC specifies the first dimension of C as declared
C in the calling (sub) program. LDC must be at least
C max( 1, m ).
C Unchanged on exit.
C
C***REFERENCES Dongarra, J., Du Croz, J., Duff, I., and Hammarling, S.
C A set of level 3 basic linear algebra subprograms.
C ACM TOMS, Vol. 16, No. 1, pp. 1-17, March 1990.
C***ROUTINES CALLED LSAME, XERBLA
C***REVISION HISTORY (YYMMDD)
C 890208 DATE WRITTEN
C 910605 Modified to meet SLATEC prologue standards. Only comment
C lines were modified. (BKS)
C***END PROLOGUE CSYMM