table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/zlqt01.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/zlqt01.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/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¶
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Version 3.12.0 | LAPACK |