strsm.f

NAME

strsm.f −

SYNOPSIS

Functions/Subroutines

subroutine strsm (SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
STRSM

Function/Subroutine Documentation

subroutine strsm (characterSIDE, characterUPLO, characterTRANSA, characterDIAG, integerM, integerN, realALPHA, real, dimension(lda,*)A, integerLDA, real, dimension(ldb,*)B, integerLDB)
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 of 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 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

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.

Date:

November 2011

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 182 of file strsm.f.

Author

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