zlqt01.f - Man Page
TESTING/LIN/zlqt01.f
Synopsis
Functions/Subroutines
subroutine zlqt01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork, result)
ZLQT01
Function/Subroutine Documentation
subroutine zlqt01 (integer m, integer n, complex*16, dimension( lda, * ) a, complex*16, dimension( lda, * ) af, complex*16, dimension( lda, * ) q, complex*16, dimension( lda, * ) l, integer lda, complex*16, dimension( * ) tau, complex*16, dimension( lwork ) work, integer lwork, double precision, dimension( * ) rwork, double precision, dimension( * ) result)
ZLQT01
Purpose:
ZLQT01 tests ZGELQF, which computes the LQ factorization of an m-by-n matrix A, and partially tests ZUNGLQ which forms the n-by-n orthogonal matrix Q. ZLQT01 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 COMPLEX*16 array, dimension (LDA,N) The m-by-n matrix A.
AF
AF is COMPLEX*16 array, dimension (LDA,N) Details of the LQ factorization of A, as returned by ZGELQF. See ZGELQF for further details.
Q
Q is COMPLEX*16 array, dimension (LDA,N) The n-by-n orthogonal matrix Q.
L
L is COMPLEX*16 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 COMPLEX*16 array, dimension (min(M,N)) The scalar factors of the elementary reflectors, as returned by ZGELQF.
WORK
WORK is COMPLEX*16 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 zlqt01.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Referenced By
The man page zlqt01(3) is an alias of zlqt01.f(3).
Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK