CTRMM (3) Linux Manual Page

ctrmm.f –

Synopsis

Functions/Subroutines

subroutine ctrmm (SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
CTRMM

Function/Subroutine Documentation

subroutine ctrmm (characterSIDE, characterUPLO, characterTRANSA, characterDIAG, integerM, integerN, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(ldb,*)B, integerLDB)

CTRMM Purpose:

 CTRMM performs 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**T or op( A ) = A**H.

 

Parameters:

SIDE

 SIDE is CHARACTER*1

 On entry, SIDE specifies whether op( A ) multiplies B from

 the left or right as follows:

 SIDE = ‘L’ or ‘l’ B := alpha*op( A )*B.

 SIDE = ‘R’ or ‘r’ B := alpha*B*op( A ).

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**H.

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 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.

A

 A is COMPLEX 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.

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 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.

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 178 of file ctrmm.f.

Author

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