zqrt01p.f - Man Page
TESTING/LIN/zqrt01p.f
Synopsis
Functions/Subroutines
subroutine zqrt01p (m, n, a, af, q, r, lda, tau, work, lwork, rwork, result)
ZQRT01P
Function/Subroutine Documentation
subroutine zqrt01p (integer m, integer n, complex*16, dimension( lda, * ) a, complex*16, dimension( lda, * ) af, complex*16, dimension( lda, * ) q, complex*16, dimension( lda, * ) r, integer lda, complex*16, dimension( * ) tau, complex*16, dimension( lwork ) work, integer lwork, double precision, dimension( * ) rwork, double precision, dimension( * ) result)
ZQRT01P
Purpose:
ZQRT01P tests ZGEQRFP, which computes the QR factorization of an m-by-n matrix A, and partially tests ZUNGQR which forms the m-by-m orthogonal matrix Q. ZQRT01P compares R with Q'*A, 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*16 array, dimension (LDA,N) The m-by-n matrix A.
AF
AF is COMPLEX*16 array, dimension (LDA,N) Details of the QR factorization of A, as returned by ZGEQRFP. See ZGEQRFP for further details.
Q
Q is COMPLEX*16 array, dimension (LDA,M) The m-by-m orthogonal matrix Q.
R
R is COMPLEX*16 array, dimension (LDA,max(M,N))
LDA
LDA is INTEGER The leading dimension of the arrays A, AF, Q and R. LDA >= max(M,N).
TAU
TAU is COMPLEX*16 array, dimension (min(M,N)) The scalar factors of the elementary reflectors, as returned by ZGEQRFP.
WORK
WORK is COMPLEX*16 array, dimension (LWORK)
LWORK
LWORK is INTEGER The dimension of the array WORK.
RWORK
RWORK is DOUBLE PRECISION array, dimension (M)
RESULT
RESULT is DOUBLE PRECISION array, dimension (2) The test ratios: RESULT(1) = norm( R - 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 124 of file zqrt01p.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Referenced By
The man page zqrt01p(3) is an alias of zqrt01p.f(3).
Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK