BLAS/SRC/zsymm.f(3)

NAME
BLAS/SRC/zsymm.f

SYNOPSIS

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

Function/Subroutine Documentation

  subroutine zsymm (character side, character uplo, integer m, integer n, complex*16 alpha, complex*16, dimension(lda,*) a, integer lda, complex*16, dimension(ldb,*) b, integer ldb, complex*16 beta, complex*16, dimension(ldc,*) c, integer ldc)

ZSYMM

Purpose:

    !>
    !> ZSYMM  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*16
    !>           On entry, ALPHA specifies the scalar alpha.
    !>

    A

    !>          A is COMPLEX*16 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*16 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*16
    !>           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*16 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 zsymm.f.

Author

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