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LAPACK
3.7.0
LAPACK: Linear Algebra PACKage
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subroutine dlqt02 | ( | integer | M, |
integer | N, | ||
integer | K, | ||
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 | ||
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DLQT02
DLQT02 tests DORGLQ, which generates an m-by-n matrix Q with orthonornmal rows that is defined as the product of k elementary reflectors. Given the LQ factorization of an m-by-n matrix A, DLQT02 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.
[in] | M | M is INTEGER The number of rows of the matrix Q to be generated. M >= 0. |
[in] | N | N is INTEGER The number of columns of the matrix Q to be generated. N >= M >= 0. |
[in] | K | K is INTEGER The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0. |
[in] | A | A is DOUBLE PRECISION array, dimension (LDA,N) The m-by-n matrix A which was factorized by DLQT01. |
[in] | AF | AF is DOUBLE PRECISION array, dimension (LDA,N) Details of the LQ factorization of A, as returned by DGELQF. See DGELQF for further details. |
[out] | Q | Q is DOUBLE PRECISION array, dimension (LDA,N) |
[out] | L | L is DOUBLE PRECISION array, dimension (LDA,M) |
[in] | LDA | LDA is INTEGER The leading dimension of the arrays A, AF, Q and L. LDA >= N. |
[in] | TAU | TAU is DOUBLE PRECISION array, dimension (M) The scalar factors of the elementary reflectors corresponding to the LQ factorization in AF. |
[out] | WORK | WORK is DOUBLE PRECISION array, dimension (LWORK) |
[in] | LWORK | LWORK is INTEGER The dimension of the array WORK. |
[out] | RWORK | RWORK is DOUBLE PRECISION array, dimension (M) |
[out] | 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 ) |
Definition at line 137 of file dlqt02.f.