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LAPACK
3.7.0
LAPACK: Linear Algebra PACKage
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subroutine cqrt01 | ( | integer | M, |
integer | N, | ||
complex, dimension( lda, * ) | A, | ||
complex, dimension( lda, * ) | AF, | ||
complex, dimension( lda, * ) | Q, | ||
complex, dimension( lda, * ) | R, | ||
integer | LDA, | ||
complex, dimension( * ) | TAU, | ||
complex, dimension( lwork ) | WORK, | ||
integer | LWORK, | ||
real, dimension( * ) | RWORK, | ||
real, dimension( * ) | RESULT | ||
) |
CQRT01
CQRT01 tests CGEQRF, which computes the QR factorization of an m-by-n matrix A, and partially tests CUNGQR which forms the m-by-m orthogonal matrix Q. CQRT01 compares R with Q'*A, and checks that Q is orthogonal.
[in] | M | M is INTEGER The number of rows of the matrix A. M >= 0. |
[in] | N | N is INTEGER The number of columns of the matrix A. N >= 0. |
[in] | A | A is COMPLEX array, dimension (LDA,N) The m-by-n matrix A. |
[out] | AF | AF is COMPLEX array, dimension (LDA,N) Details of the QR factorization of A, as returned by CGEQRF. See CGEQRF for further details. |
[out] | Q | Q is COMPLEX array, dimension (LDA,M) The m-by-m orthogonal matrix Q. |
[out] | R | R is COMPLEX array, dimension (LDA,max(M,N)) |
[in] | LDA | LDA is INTEGER The leading dimension of the arrays A, AF, Q and R. LDA >= max(M,N). |
[out] | TAU | TAU is COMPLEX array, dimension (min(M,N)) The scalar factors of the elementary reflectors, as returned by CGEQRF. |
[out] | WORK | WORK is COMPLEX array, dimension (LWORK) |
[in] | LWORK | LWORK is INTEGER The dimension of the array WORK. |
[out] | RWORK | RWORK is REAL array, dimension (M) |
[out] | RESULT | RESULT is REAL array, dimension (2) The test ratios: RESULT(1) = norm( R - Q'*A ) / ( M * norm(A) * EPS ) RESULT(2) = norm( I - Q'*Q ) / ( M * EPS ) |
Definition at line 128 of file cqrt01.f.