table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/sqrt01.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/sqrt01.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/sqrt01.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine SQRT01 (m, n, a, af, q, r, lda, tau, work,
lwork, rwork, result)
SQRT01
Function/Subroutine Documentation¶
subroutine SQRT01 (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)¶
SQRT01
Purpose:
!> !> SQRT01 tests SGEQRF, 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. !> !> SQRT01 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 SGEQRF. !> See SGEQRF 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 SGEQRF. !>
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 sqrt01.f.
Author¶
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Version 3.12.0 | LAPACK |