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RedHat 9 (Linux i386) - man page for strsm (redhat section l)

STRSM(l)				   BLAS routine 				 STRSM(l)

NAME
       STRSM - solve one of the matrix equations   op( A )*X = alpha*B, or X*op( A ) = alpha*B,

SYNOPSIS
       SUBROUTINE STRSM ( SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB )

	   CHARACTER*1	SIDE, UPLO, TRANSA, DIAG

	   INTEGER	M, N, LDA, LDB

	   REAL 	ALPHA

	   REAL 	A( LDA, * ), B( LDB, * )

PURPOSE
       STRSM  solves one of the matrix equations

       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'.

       The matrix X is overwritten on B.

PARAMETERS
       SIDE   - CHARACTER*1.
	      On entry, SIDE specifies whether op( A ) appears on the left or right of X as  fol-
	      lows:

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

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

	      Unchanged on exit.

       UPLO   - 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.

	      Unchanged on exit.

	      TRANSA - 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'.

	      TRANSA = 'C' or 'c'   op( A ) = A'.

	      Unchanged on exit.

       DIAG   - 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.

	      Unchanged on exit.

       M      - INTEGER.
	      On  entry, M specifies the number of rows of B. M must be at least zero.	Unchanged
	      on exit.

       N      - INTEGER.
	      On entry, N specifies the number of columns  of  B.   N  must  be  at  least  zero.
	      Unchanged on exit.

       ALPHA  - 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.  Unchanged on exit.

       A      - REAL		 array of 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.  Unchanged on exit.

       LDA    - 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 ).	Unchanged on exit.

       B      - REAL		 array of 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    - 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 ).  Unchanged on exit.

	      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  Hammar-
	      ling, Numerical Algorithms Group Ltd.

BLAS routine				 16 October 1992				 STRSM(l)


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