ctrmm.f man 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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Referenced By

ctrmm(3) is an alias of ctrmm.f(3).

Sat Nov 16 2013 Version 3.4.2 LAPACK