BLAS/SRC/ssymm.f(3)        Library Functions Manual        BLAS/SRC/ssymm.f(3)

NAME
       BLAS/SRC/ssymm.f

SYNOPSIS
   Functions/Subroutines
       subroutine ssymm (side, uplo, m, n, alpha, a, lda, b, ldb, beta, c,
           ldc)
           SSYMM

Function/Subroutine Documentation
   subroutine ssymm (character side, character uplo, integer m, integer n,
       real alpha, real, dimension(lda,*) a, integer lda, real,
       dimension(ldb,*) b, integer ldb, real beta, real, dimension(ldc,*) c,
       integer ldc)
       SSYMM

       Purpose:


            SSYMM  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 REAL
                      On entry, ALPHA specifies the scalar alpha.

           A

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

           C

                     C is REAL 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 ssymm.f.

Author
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LAPACK                          Version 3.12.0             BLAS/SRC/ssymm.f(3)