TESTING/LIN/slqt02.f(3) | Library Functions Manual | TESTING/LIN/slqt02.f(3) |
NAME
TESTING/LIN/slqt02.f
SYNOPSIS
Functions/Subroutines
subroutine slqt02 (m, n, k, a, af, q, l, lda, tau, work,
lwork, rwork, result)
SLQT02
Function/Subroutine Documentation
subroutine slqt02 (integer m, integer n, integer k, real, dimension( lda, * ) a, real, dimension( lda, * ) af, real, dimension( lda, * ) q, real, dimension( lda, * ) l, integer lda, real, dimension( * ) tau, real, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( * ) result)
SLQT02
Purpose:
SLQT02 tests SORGLQ, which generates an m-by-n matrix Q with orthonormal rows that is defined as the product of k elementary reflectors. Given the LQ factorization of an m-by-n matrix A, SLQT02 generates the orthogonal matrix Q defined by the factorization of the first k rows of A; it compares L(1:k,1:m) with A(1:k,1:n)*Q(1:m,1:n)', and checks that the rows 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. N >= M >= 0.
K
K is INTEGER The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0.
A
A is REAL array, dimension (LDA,N) The m-by-n matrix A which was factorized by SLQT01.
AF
AF is REAL array, dimension (LDA,N) Details of the LQ factorization of A, as returned by SGELQF. See SGELQF for further details.
Q
Q is REAL array, dimension (LDA,N)
L
L is REAL array, dimension (LDA,M)
LDA
LDA is INTEGER The leading dimension of the arrays A, AF, Q and L. LDA >= N.
TAU
TAU is REAL array, dimension (M) The scalar factors of the elementary reflectors corresponding to the LQ factorization in AF.
WORK
WORK is REAL 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 - 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 133 of file slqt02.f.
Author
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