table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/BLAS/SRC/ztrmm.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/BLAS/SRC/ztrmm.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/BLAS/SRC/ztrmm.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine ZTRMM (side, uplo, transa, diag, m, n, alpha, a,
lda, b, ldb)
ZTRMM
Function/Subroutine Documentation¶
subroutine ZTRMM (character side, character uplo, character transa, character diag, integer m, integer n, complex*16 alpha, complex*16, dimension(lda,*) a, integer lda, complex*16, dimension(ldb,*) b, integer ldb)¶
ZTRMM
Purpose:
!> !> ZTRMM 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*16 !> 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*16 array, 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*16 array, 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.
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 176 of file ztrmm.f.
Author¶
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