1. Manuals
  2. Tumbleweed
  3. lapack-man
  4. DRQT01(3)

Scroll to navigation

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/drqt01.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/drqt01.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/drqt01.f

SYNOPSIS

Functions/Subroutines


subroutine DRQT01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork, result)
DRQT01

Function/Subroutine Documentation

subroutine DRQT01 (integer m, integer n, double precision, dimension( lda, * ) a, double precision, dimension( lda, * ) af, double precision, dimension( lda, * ) q, double precision, dimension( lda, * ) r, integer lda, double precision, dimension( * ) tau, double precision, dimension( lwork ) work, integer lwork, double precision, dimension( * ) rwork, double precision, dimension( * ) result)

DRQT01

Purpose:

!>
!> DRQT01 tests DGERQF, which computes the RQ factorization of an m-by-n
!> matrix A, and partially tests DORGRQ which forms the n-by-n
!> orthogonal matrix Q.
!>
!> DRQT01 compares R with A*Q', 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 DOUBLE PRECISION array, dimension (LDA,N)
!>          The m-by-n matrix A.
!>

AF

!>          AF is DOUBLE PRECISION array, dimension (LDA,N)
!>          Details of the RQ factorization of A, as returned by DGERQF.
!>          See DGERQF for further details.
!>

Q

!>          Q is DOUBLE PRECISION array, dimension (LDA,N)
!>          The n-by-n orthogonal matrix Q.
!>

R

!>          R is DOUBLE PRECISION array, dimension (LDA,max(M,N))
!>

LDA

!>          LDA is INTEGER
!>          The leading dimension of the arrays A, AF, Q and L.
!>          LDA >= max(M,N).
!>

TAU

!>          TAU is DOUBLE PRECISION array, dimension (min(M,N))
!>          The scalar factors of the elementary reflectors, as returned
!>          by DGERQF.
!>

WORK

!>          WORK is DOUBLE PRECISION array, dimension (LWORK)
!>

LWORK

!>          LWORK is INTEGER
!>          The dimension of the array WORK.
!>

RWORK

!>          RWORK is DOUBLE PRECISION array, dimension (max(M,N))
!>

RESULT

!>          RESULT is DOUBLE PRECISION 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 124 of file drqt01.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Version 3.12.0 LAPACK