dqlt01.f - Man Page
TESTING/LIN/dqlt01.f
Synopsis
Functions/Subroutines
subroutine dqlt01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork, result)
DQLT01
Function/Subroutine Documentation
subroutine dqlt01 (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)
DQLT01
Purpose:
DQLT01 tests DGEQLF, which computes the QL factorization of an m-by-n matrix A, and partially tests DORGQL which forms the m-by-m orthogonal matrix Q. DQLT01 compares L with Q'*A, 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 QL factorization of A, as returned by DGEQLF. See DGEQLF for further details.
Q
Q is DOUBLE PRECISION array, dimension (LDA,M) The m-by-m 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 R. LDA >= max(M,N).
TAU
TAU is DOUBLE PRECISION array, dimension (min(M,N)) The scalar factors of the elementary reflectors, as returned by DGEQLF.
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 (M)
RESULT
RESULT is DOUBLE PRECISION array, dimension (2) The test ratios: RESULT(1) = norm( L - Q'*A ) / ( M * norm(A) * EPS ) RESULT(2) = norm( I - Q'*Q ) / ( M * EPS )
- Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 124 of file dqlt01.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Referenced By
The man page dqlt01(3) is an alias of dqlt01.f(3).
Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK