.TH CTRMM 1 "November 2006" "BLAS routine" "BLAS routine"
.SH NAME
CTRMM - 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\(aq or op( A ) = conjg( A\(aq )
.SH SYNOPSIS
.TP 62
SUBROUTINE CTRMM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
.TP 62
.ti +4
COMPLEX
ALPHA
.TP 62
.ti +4
INTEGER
LDA,LDB,M,N
.TP 62
.ti +4
CHARACTER
DIAG,SIDE,TRANSA,UPLO
.TP 62
.ti +4
COMPLEX
A(LDA,*),B(LDB,*)
.SH PURPOSE
CTRMM performs one of the matrix-matrix operations
.SH ARGUMENTS
.TP 7
SIDE - CHARACTER*1.
On entry, SIDE specifies whether op( A ) multiplies B from
the left or right as follows:
SIDE = \(aqL\(aq or \(aql\(aq B := alpha*op( A )*B.
SIDE = \(aqR\(aq or \(aqr\(aq B := alpha*B*op( A ).
Unchanged on exit.
.TP 7
UPLO - CHARACTER*1.
On entry, UPLO specifies whether the matrix A is an upper or
lower triangular matrix as follows:
UPLO = \(aqU\(aq or \(aqu\(aq A is an upper triangular matrix.
UPLO = \(aqL\(aq or \(aql\(aq 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 = \(aqN\(aq or \(aqn\(aq op( A ) = A.
TRANSA = \(aqT\(aq or \(aqt\(aq op( A ) = A\(aq.
TRANSA = \(aqC\(aq or \(aqc\(aq op( A ) = conjg( A\(aq ).
Unchanged on exit.
.TP 7
DIAG - CHARACTER*1.
On entry, DIAG specifies whether or not A is unit triangular
as follows:
DIAG = \(aqU\(aq or \(aqu\(aq A is assumed to be unit triangular.
DIAG = \(aqN\(aq or \(aqn\(aq A is not assumed to be unit
triangular.
Unchanged on exit.
.TP 7
M - INTEGER.
On entry, M specifies the number of rows of B. M must be at
least zero.
Unchanged on exit.
.TP 7
N - INTEGER.
On entry, N specifies the number of columns of B. N must be
at least zero.
Unchanged on exit.
.TP 7
ALPHA - COMPLEX .
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.
.TP 7
A - COMPLEX array of DIMENSION ( LDA, k ), where k is m
when SIDE = \(aqL\(aq or \(aql\(aq and is n when SIDE = \(aqR\(aq or \(aqr\(aq.
Before entry with UPLO = \(aqU\(aq or \(aqu\(aq, 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 = \(aqL\(aq or \(aql\(aq, 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 = \(aqU\(aq or \(aqu\(aq, the diagonal elements of
A are not referenced either, but are assumed to be unity.
Unchanged on exit.
.TP 7
LDA - INTEGER.
On entry, LDA specifies the first dimension of A as declared
in the calling (sub) program. When SIDE = \(aqL\(aq or \(aql\(aq then
LDA must be at least max( 1, m ), when SIDE = \(aqR\(aq or \(aqr\(aq
then LDA must be at least max( 1, n ).
Unchanged on exit.
.TP 7
B - COMPLEX array of 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.
.TP 7
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 Hammarling, Numerical Algorithms Group Ltd.
.. External Functions ..
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.. External Subroutines ..
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