BLAS/SRC/csymm.f(3)

NAME
BLAS/SRC/csymm.f

SYNOPSIS

  Functions/Subroutines
subroutine csymm (side, uplo, m, n, alpha, a, lda, b, ldb, beta, c, ldc)
CSYMM

Function/Subroutine Documentation

  subroutine csymm (character side, character uplo, integer m, integer n, complex alpha, complex, dimension(lda,*) a, integer lda, complex, dimension(ldb,*) b, integer ldb, complex beta, complex, dimension(ldc,*) c, integer ldc)

CSYMM

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

              SIDE is 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,

    UPLO

              UPLO is 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.

    M

              M is INTEGER
               On entry,  M  specifies the number of rows of the matrix  C.
               M  must be at least zero.

    N

              N is INTEGER
               On entry, N specifies the number of columns of the matrix C.
               N  must be at least zero.

    ALPHA

              ALPHA is COMPLEX
               On entry, ALPHA specifies the scalar alpha.

    A

              A is COMPLEX array, 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 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
               referenced.
               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  contain  the  lower triangular part  of the  symmetric
               matrix and the  strictly upper triangular part of  A  is not
               referenced.

    LDA

              LDA is 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 ).

    B

              B is COMPLEX array, dimension ( LDB, N )
               Before entry, the leading  m by n part of the array  B  must
               contain the matrix B.

    LDB

              LDB is 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 ).

    BETA

              BETA is COMPLEX
               On entry,  BETA  specifies the scalar  beta.  When  BETA  is
               supplied as zero then C need not be set on input.

    C

              C is COMPLEX array, 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

              LDC is 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 ).

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

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.

Definition at line 188 of file csymm.f.

Author

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