crqt01.f - Man Page
TESTING/LIN/crqt01.f
Synopsis
Functions/Subroutines
subroutine crqt01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork, result)
CRQT01
Function/Subroutine Documentation
subroutine crqt01 (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)
CRQT01
Purpose:
CRQT01 tests CGERQF, which computes the RQ factorization of an m-by-n matrix A, and partially tests CUNGRQ which forms the n-by-n orthogonal matrix Q. CRQT01 compares R 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 array, dimension (LDA,N) The m-by-n matrix A.
AF
AF is COMPLEX array, dimension (LDA,N) Details of the RQ factorization of A, as returned by CGERQF. See CGERQF for further details.
Q
Q is COMPLEX array, dimension (LDA,N) The n-by-n orthogonal matrix Q.
R
R is COMPLEX 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 array, dimension (min(M,N)) The scalar factors of the elementary reflectors, as returned by CGERQF.
WORK
WORK is COMPLEX array, dimension (LWORK)
LWORK
LWORK is INTEGER The dimension of the array WORK.
RWORK
RWORK is REAL array, dimension (max(M,N))
RESULT
RESULT is REAL array, dimension (2) The test ratios: RESULT(1) = norm( R - 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 crqt01.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Referenced By
The man page crqt01(3) is an alias of crqt01.f(3).
Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK