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/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