cqlt02.f - Man Page
TESTING/LIN/cqlt02.f
Synopsis
Functions/Subroutines
subroutine cqlt02 (m, n, k, a, af, q, l, lda, tau, work, lwork, rwork, result)
CQLT02
Function/Subroutine Documentation
subroutine cqlt02 (integer m, integer n, integer k, complex, dimension( lda, * ) a, complex, dimension( lda, * ) af, complex, dimension( lda, * ) q, complex, dimension( lda, * ) l, integer lda, complex, dimension( * ) tau, complex, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( * ) result)
CQLT02
Purpose:
CQLT02 tests CUNGQL, which generates an m-by-n matrix Q with orthonormal columns that is defined as the product of k elementary reflectors. Given the QL factorization of an m-by-n matrix A, CQLT02 generates the orthogonal matrix Q defined by the factorization of the last k columns of A; it compares L(m-n+1:m,n-k+1:n) with Q(1:m,m-n+1:m)'*A(1:m,n-k+1:n), and checks that the columns of Q are orthonormal.
- Parameters
M
M is INTEGER The number of rows of the matrix Q to be generated. M >= 0.
N
N is INTEGER The number of columns of the matrix Q to be generated. M >= N >= 0.
K
K is INTEGER The number of elementary reflectors whose product defines the matrix Q. N >= K >= 0.
A
A is COMPLEX array, dimension (LDA,N) The m-by-n matrix A which was factorized by CQLT01.
AF
AF is COMPLEX array, dimension (LDA,N) Details of the QL factorization of A, as returned by CGEQLF. See CGEQLF for further details.
Q
Q is COMPLEX array, dimension (LDA,N)
L
L is COMPLEX array, dimension (LDA,N)
LDA
LDA is INTEGER The leading dimension of the arrays A, AF, Q and L. LDA >= M.
TAU
TAU is COMPLEX array, dimension (N) The scalar factors of the elementary reflectors corresponding to the QL factorization in AF.
WORK
WORK is COMPLEX array, dimension (LWORK)
LWORK
LWORK is INTEGER The dimension of the array WORK.
RWORK
RWORK is REAL array, dimension (M)
RESULT
RESULT is REAL 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 134 of file cqlt02.f.
Author
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Referenced By
The man page cqlt02(3) is an alias of cqlt02.f(3).
Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK