SLATEC Routines --- CSYMM ---


    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