TESTING/LIN/clqt02.f(3)

NAME
TESTING/LIN/clqt02.f

SYNOPSIS

  Functions/Subroutines
subroutine clqt02 (m, n, k, a, af, q, l, lda, tau, work, lwork, rwork, result)
CLQT02

Function/Subroutine Documentation

  subroutine clqt02 (integer m, integer n, integer k, complex, dimension( lda, * ) a, complex, dimension( lda, * ) af, complex, dimension( lda, * ) q, complex, dimension( lda, * ) l, integer lda, complex, dimension( * ) tau, complex, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( * ) result)

CLQT02

Purpose:

     CLQT02 tests CUNGLQ, which generates an m-by-n matrix Q with
     orthonormal rows that is defined as the product of k elementary
     reflectors.
     Given the LQ factorization of an m-by-n matrix A, CLQT02 generates
     the orthogonal matrix Q defined by the factorization of the first k
     rows of A; it compares L(1:k,1:m) with A(1:k,1:n)*Q(1:m,1:n)', and
     checks that the rows of Q are orthonormal.

Parameters
    M

              M is INTEGER
              The number of rows of the matrix Q to be generated.  M >= 0.

    N

              N is INTEGER
              The number of columns of the matrix Q to be generated.
              N >= M >= 0.

    K

              K is INTEGER
              The number of elementary reflectors whose product defines the
              matrix Q. M >= K >= 0.

    A

              A is COMPLEX array, dimension (LDA,N)
              The m-by-n matrix A which was factorized by CLQT01.

    AF

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

    Q

              Q is COMPLEX array, dimension (LDA,N)

    L

              L is COMPLEX array, dimension (LDA,M)

    LDA

              LDA is INTEGER
              The leading dimension of the arrays A, AF, Q and L. LDA >= N.

    TAU

              TAU is COMPLEX array, dimension (M)
              The scalar factors of the elementary reflectors corresponding
              to the LQ factorization in AF.

    WORK

              WORK is COMPLEX 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( 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 133 of file clqt02.f.

Author

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