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

NAME
       BLAS/SRC/strsm.f

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

Function/Subroutine Documentation
   subroutine strsm (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)
       STRSM

       Purpose:


           !>
           !> STRSM  solves one of the matrix equations
           !>
           !>    op( A )*X = alpha*B,   or   X*op( A ) = alpha*B,
           !>
           !> where alpha is a scalar, X and B are m by n matrices, 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.
           !>
           !> The matrix X is overwritten on B.
           !>

       Parameters
           SIDE

           !>          SIDE is CHARACTER*1
           !>           On entry, SIDE specifies whether op( A ) appears on the left
           !>           or right of X as follows:
           !>
           !>              SIDE = 'L' or 'l'   op( A )*X = alpha*B.
           !>
           !>              SIDE = 'R' or 'r'   X*op( A ) = alpha*B.
           !>

           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 k 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  right-hand  side  matrix  B,  and  on exit  is
           !>           overwritten by the solution matrix  X.
           !>

           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 180 of file strsm.f.

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