NAME

TESTING/LIN/dlqt01.f

SYNOPSIS

Functions/Subroutines

subroutine dlqt01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork, result)
DLQT01

Function/Subroutine Documentation

subroutine dlqt01 (integer m, integer n, double precision, dimension( lda, * ) a, double precision, dimension( lda, * ) af, double precision, dimension( lda, * ) q, double precision, dimension( lda, * ) l, integer lda, double precision, dimension( * ) tau, double precision, dimension( lwork ) work, integer lwork, double precision, dimension( * ) rwork, double precision, dimension( * ) result)

DLQT01

Purpose:



 DLQT01 tests DGELQF, which computes the LQ factorization of an m-by-n


 matrix A, and partially tests DORGLQ which forms the n-by-n


 orthogonal matrix Q.


 DLQT01 compares L with A*Q', and checks that Q is orthogonal.

Parameters



          M is INTEGER


          The number of rows of the matrix A.  M >= 0.



          N is INTEGER


          The number of columns of the matrix A.  N >= 0.



          A is DOUBLE PRECISION array, dimension (LDA,N)


          The m-by-n matrix A.



          AF is DOUBLE PRECISION array, dimension (LDA,N)


          Details of the LQ factorization of A, as returned by DGELQF.


          See DGELQF for further details.



          Q is DOUBLE PRECISION array, dimension (LDA,N)


          The n-by-n orthogonal matrix Q.



          L 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 DGELQF.

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( L - 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 dlqt01.f.

Author

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