TESTING/LIN/sqrt01p.f(3) | Library Functions Manual | TESTING/LIN/sqrt01p.f(3) |
NAME
TESTING/LIN/sqrt01p.f
SYNOPSIS
Functions/Subroutines
subroutine sqrt01p (m, n, a, af, q, r, lda, tau, work,
lwork, rwork, result)
SQRT01P
Function/Subroutine Documentation
subroutine sqrt01p (integer m, integer n, real, dimension( lda, * ) a, real, dimension( lda, * ) af, real, dimension( lda, * ) q, real, dimension( lda, * ) r, integer lda, real, dimension( * ) tau, real, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( * ) result)
SQRT01P
Purpose:
SQRT01P tests SGEQRFP, which computes the QR factorization of an m-by-n matrix A, and partially tests SORGQR which forms the m-by-m orthogonal matrix Q. SQRT01P 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 REAL array, dimension (LDA,N) The m-by-n matrix A.
AF
AF is REAL array, dimension (LDA,N) Details of the QR factorization of A, as returned by SGEQRFP. See SGEQRFP for further details.
Q
Q is REAL array, dimension (LDA,M) The m-by-m orthogonal matrix Q.
R
R is REAL 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 REAL array, dimension (min(M,N)) The scalar factors of the elementary reflectors, as returned by SGEQRFP.
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( 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 sqrt01p.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.12.0 | LAPACK |