TESTING/LIN/slqt01.f(3)

NAME
TESTING/LIN/slqt01.f

SYNOPSIS

  Functions/Subroutines
subroutine slqt01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork, result)
SLQT01

Function/Subroutine Documentation

  subroutine slqt01 (integer m, integer n, real, dimension( lda, * ) a, real, dimension( lda, * ) af, real, dimension( lda, * ) q, real, dimension( lda, * ) l, integer lda, real, dimension( * ) tau, real, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( * ) result)

SLQT01

Purpose:

     SLQT01 tests SGELQF, which computes the LQ factorization of an m-by-n
     matrix A, and partially tests SORGLQ which forms the n-by-n
     orthogonal matrix Q.
     SLQT01 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 REAL array, dimension (LDA,N)
              The m-by-n matrix A.

    AF

              AF is REAL array, dimension (LDA,N)
              Details of the LQ factorization of A, as returned by SGELQF.
              See SGELQF for further details.

    Q

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

    L

              L is REAL 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 REAL array, dimension (min(M,N))
              The scalar factors of the elementary reflectors, as returned
              by SGELQF.

    WORK

              WORK is REAL array, dimension (LWORK)

    LWORK

              LWORK is INTEGER
              The dimension of the array WORK.

    RWORK

              RWORK is REAL array, dimension (max(M,N))

    RESULT

              RESULT is REAL 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 slqt01.f.

Author

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