TESTING/LIN/dlqt01.f(3)

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

              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 LQ factorization of A, as returned by DGELQF.
              See DGELQF for further details.

    Q

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

    L

              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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