table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/srqt02.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/srqt02.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/srqt02.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine SRQT02 (m, n, k, a, af, q, r, lda, tau, work,
lwork, rwork, result)
SRQT02
Function/Subroutine Documentation¶
subroutine SRQT02 (integer m, integer n, integer k, 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)¶
SRQT02
Purpose:
!> !> SRQT02 tests SORGRQ, 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, SRQT02 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 REAL array, dimension (LDA,N) !> The m-by-n matrix A which was factorized by SRQT01. !>
AF
!> AF is REAL array, dimension (LDA,N) !> Details of the RQ factorization of A, as returned by SGERQF. !> See SGERQF for further details. !>
Q
!> Q is REAL array, dimension (LDA,N) !>
R
!> R is REAL array, dimension (LDA,M) !>
LDA
!> LDA is INTEGER !> The leading dimension of the arrays A, AF, Q and L. LDA >= N. !>
TAU
!> TAU is REAL array, dimension (M) !> The scalar factors of the elementary reflectors corresponding !> to the RQ factorization in AF. !>
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 - 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 srqt02.f.
Author¶
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.12.0 | LAPACK |