NAME

SYNOPSIS

  SUBROUTINE DTRSM( SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, 
 *      LDB)
  CHARACTER * 1 SIDE, UPLO, TRANSA, DIAG
  INTEGER M, N, LDA, LDB
  DOUBLE PRECISION ALPHA
  DOUBLE PRECISION A(LDA,*), B(LDB,*)
 
  SUBROUTINE DTRSM_64( SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, 
 *      B, LDB)
  CHARACTER * 1 SIDE, UPLO, TRANSA, DIAG
  INTEGER*8 M, N, LDA, LDB
  DOUBLE PRECISION ALPHA
  DOUBLE PRECISION A(LDA,*), B(LDB,*)
 

F95 INTERFACE

  SUBROUTINE TRSM( SIDE, UPLO, [TRANSA], DIAG, [M], [N], ALPHA, A, 
 *       [LDA], B, [LDB])
  CHARACTER(LEN=1) :: SIDE, UPLO, TRANSA, DIAG
  INTEGER :: M, N, LDA, LDB
  REAL(8) :: ALPHA
  REAL(8), DIMENSION(:,:) :: A, B
 
  SUBROUTINE TRSM_64( SIDE, UPLO, [TRANSA], DIAG, [M], [N], ALPHA, A, 
 *       [LDA], B, [LDB])
  CHARACTER(LEN=1) :: SIDE, UPLO, TRANSA, DIAG
  INTEGER(8) :: M, N, LDA, LDB
  REAL(8) :: ALPHA
  REAL(8), DIMENSION(:,:) :: A, B
 

C INTERFACE

void dtrsm(char side, char uplo, char transa, char diag, int m, int n, double alpha, double *a, int lda, double *b, int ldb);

void dtrsm_64(char side, char uplo, char transa, char diag, long m, long n, double alpha, double *a, long lda, double *b, long ldb);

PURPOSE

   op( A ) = A   or   op( A ) = A'.

The matrix X is overwritten on B.

ARGUMENTS

* SIDE (input)

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.

Unchanged on exit.

* UPLO (input)

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 (input)

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 (input)

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 (input)

On entry, M specifies the number of rows of B. M >= 0. Unchanged on exit.

* N (input)

On entry, N specifies the number of columns of B. N >= 0. Unchanged on exit.

* ALPHA (input)

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 (input)

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 one. Unchanged on exit.

* LDA (input)

On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. When SIDE = 'L' or 'l' then LDA >= max( 1, m ), when SIDE = 'R' or 'r' then LDA >= max( 1, n ). Unchanged on exit.

* B (input/output)

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 (input)

On entry, LDB specifies the first dimension of B as declared in the calling (sub) program. LDB >= max( 1, m ). Unchanged on exit.