dlqt01.f - Man Page
TESTING/LIN/dlqt01.f
Synopsis
Functions/Subroutines
subroutine dlqt01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork, result)
DLQT01
Function/Subroutine Documentation
subroutine dlqt01 (integer m, integer n, double precision, dimension( lda, * ) a, double precision, dimension( lda, * ) af, double precision, dimension( lda, * ) q, double precision, dimension( lda, * ) l, integer lda, double precision, dimension( * ) tau, double precision, dimension( lwork ) work, integer lwork, double precision, dimension( * ) rwork, double precision, dimension( * ) result)
DLQT01
Purpose:
DLQT01 tests DGELQF, which computes the LQ factorization of an m-by-n matrix A, and partially tests DORGLQ which forms the n-by-n orthogonal matrix Q. DLQT01 compares L 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 LQ factorization of A, as returned by DGELQF. See DGELQF for further details.
Q
Q is DOUBLE PRECISION array, dimension (LDA,N) The n-by-n orthogonal matrix Q.
L
L 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 DGELQF.
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( L - 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 dlqt01.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Referenced By
The man page dlqt01(3) is an alias of dlqt01.f(3).
Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK