table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/crqt02.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/crqt02.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/crqt02.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine CRQT02 (m, n, k, a, af, q, r, lda, tau, work,
lwork, rwork, result)
CRQT02
Function/Subroutine Documentation¶
subroutine CRQT02 (integer m, integer n, integer k, 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)¶
CRQT02
Purpose:
!> !> CRQT02 tests CUNGRQ, which generates an m-by-n matrix Q with !> orthonormal rows that is defined as the product of k elementary !> reflectors. !> !> Given the RQ factorization of an m-by-n matrix A, CRQT02 generates !> the orthogonal matrix Q defined by the factorization of the last k !> rows of A; it compares R(m-k+1:m,n-m+1:n) with !> A(m-k+1:m,1:n)*Q(n-m+1:n,1:n)', and checks that the rows of Q are !> orthonormal. !>
Parameters
M
!> M is INTEGER !> The number of rows of the matrix Q to be generated. M >= 0. !>
N
!> N is INTEGER !> The number of columns of the matrix Q to be generated. !> N >= M >= 0. !>
K
!> K is INTEGER !> The number of elementary reflectors whose product defines the !> matrix Q. M >= K >= 0. !>
A
!> A is COMPLEX array, dimension (LDA,N) !> The m-by-n matrix A which was factorized by CRQT01. !>
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) !>
R
!> R is COMPLEX array, dimension (LDA,M) !>
LDA
!> LDA is INTEGER !> The leading dimension of the arrays A, AF, Q and L. LDA >= N. !>
TAU
!> TAU is COMPLEX array, dimension (M) !> The scalar factors of the elementary reflectors corresponding !> to the RQ factorization in AF. !>
WORK
!> WORK is COMPLEX 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 - 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 134 of file crqt02.f.
Author¶
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