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

NAME
       BLAS/SRC/strmm.f

SYNOPSIS
   Functions/Subroutines
       subroutine strmm (side, uplo, transa, diag, m, n, alpha, a, lda, b,
           ldb)
           STRMM

Function/Subroutine Documentation
   subroutine strmm (character side, character uplo, character transa,
       character diag, integer m, integer n, real alpha, real,
       dimension(lda,*) a, integer lda, real, dimension(ldb,*) b, integer ldb)
       STRMM

       Purpose:


            STRMM  performs one of the matrix-matrix operations

               B := alpha*op( A )*B,   or   B := alpha*B*op( A ),

            where  alpha  is a scalar,  B  is an m by n matrix,  A  is a unit, or
            non-unit,  upper or lower triangular matrix  and  op( A )  is one  of

               op( A ) = A   or   op( A ) = A**T.

       Parameters
           SIDE

                     SIDE is CHARACTER*1
                      On entry,  SIDE specifies whether  op( A ) multiplies B from
                      the left or right as follows:

                         SIDE = 'L' or 'l'   B := alpha*op( A )*B.

                         SIDE = 'R' or 'r'   B := alpha*B*op( A ).

           UPLO

                     UPLO is CHARACTER*1
                      On entry, UPLO specifies whether the matrix A is an upper or
                      lower triangular matrix as follows:

                         UPLO = 'U' or 'u'   A is an upper triangular matrix.

                         UPLO = 'L' or 'l'   A is a lower triangular matrix.

           TRANSA

                     TRANSA is CHARACTER*1
                      On entry, TRANSA specifies the form of op( A ) to be used in
                      the matrix multiplication as follows:

                         TRANSA = 'N' or 'n'   op( A ) = A.

                         TRANSA = 'T' or 't'   op( A ) = A**T.

                         TRANSA = 'C' or 'c'   op( A ) = A**T.

           DIAG

                     DIAG is CHARACTER*1
                      On entry, DIAG specifies whether or not A is unit triangular
                      as follows:

                         DIAG = 'U' or 'u'   A is assumed to be unit triangular.

                         DIAG = 'N' or 'n'   A is not assumed to be unit
                                             triangular.

           M

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

           N

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

           ALPHA

                     ALPHA is REAL
                      On entry,  ALPHA specifies the scalar  alpha. When  alpha is
                      zero then  A is not referenced and  B need not be set before
                      entry.

           A

                     A is REAL array, dimension ( LDA, k ), where k is m
                      when  SIDE = 'L' or 'l'  and is  n  when  SIDE = 'R' or 'r'.
                      Before entry  with  UPLO = 'U' or 'u',  the  leading  k by k
                      upper triangular part of the array  A must contain the upper
                      triangular matrix  and the strictly lower triangular part of
                      A is not referenced.
                      Before entry  with  UPLO = 'L' or 'l',  the  leading  k by k
                      lower triangular part of the array  A must contain the lower
                      triangular matrix  and the strictly upper triangular part of
                      A is not referenced.
                      Note that when  DIAG = 'U' or 'u',  the diagonal elements of
                      A  are not referenced either,  but are assumed to be  unity.

           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 ),  when  SIDE = 'R' or 'r'
                      then 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,  and  on exit  is overwritten  by the
                      transformed matrix.

           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 ).

       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 176 of file strmm.f.

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