drqt01.f3
Usage
Functions/Subroutines
subroutine drqt01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork, result)
DRQT01
Function/Subroutine Documentation
subroutine drqt01 (integer m, integer n, double precision, dimension( lda, * ) a, double precision, dimension( lda, * ) af, double precision, dimension( lda, * ) q, double precision, dimension( lda, * ) r, integer lda, double precision, dimension( * ) tau, double precision, dimension( lwork ) work, integer lwork, double precision, dimension( * ) rwork, double precision, dimension( * ) result)
DRQT01
Purpose:
!> !> DRQT01 tests DGERQF, which computes the RQ factorization of an m-by-n !> matrix A, and partially tests DORGRQ which forms the n-by-n !> orthogonal matrix Q. !> !> DRQT01 compares R with A*Q', and checks that Q is orthogonal. !>
Parameters
M
!> M is INTEGER !> The number of rows of the matrix A. M >= 0. !>
N
!> N is INTEGER !> The number of columns of the matrix A. N >= 0. !>
A
!> A is DOUBLE PRECISION array, dimension (LDA,N) !> The m-by-n matrix A. !>
AF
!> AF is DOUBLE PRECISION array, dimension (LDA,N) !> Details of the RQ factorization of A, as returned by DGERQF. !> See DGERQF for further details. !>
Q
!> Q is DOUBLE PRECISION array, dimension (LDA,N) !> The n-by-n orthogonal matrix Q. !>
R
!> R is DOUBLE PRECISION array, dimension (LDA,max(M,N)) !>
LDA
!> LDA is INTEGER !> The leading dimension of the arrays A, AF, Q and L. !> LDA >= max(M,N). !>
TAU
!> TAU is DOUBLE PRECISION array, dimension (min(M,N)) !> The scalar factors of the elementary reflectors, as returned !> by DGERQF. !>
WORK
!> WORK is DOUBLE PRECISION array, dimension (LWORK) !>
LWORK
!> LWORK is INTEGER !> The dimension of the array WORK. !>
RWORK
!> RWORK is DOUBLE PRECISION array, dimension (max(M,N)) !>
RESULT
!> RESULT is DOUBLE PRECISION array, dimension (2) !> The test ratios: !> RESULT(1) = norm( R - A*Q' ) / ( N * norm(A) * EPS ) !> RESULT(2) = norm( I - Q*Q' ) / ( N * EPS ) !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 124 of file drqt01.f.