TESTING/LIN/zlqt02.f(3)

NAME
TESTING/LIN/zlqt02.f

SYNOPSIS

  Functions/Subroutines
subroutine zlqt02 (m, n, k, a, af, q, l, lda, tau, work, lwork, rwork, result)
ZLQT02

Function/Subroutine Documentation

  subroutine zlqt02 (integer m, integer n, integer k, complex*16, dimension( lda, * ) a, complex*16, dimension( lda, * ) af, complex*16, dimension( lda, * ) q, complex*16, dimension( lda, * ) l, integer lda, complex*16, dimension( * ) tau, complex*16, dimension( lwork ) work, integer lwork, double precision, dimension( * ) rwork, double precision, dimension( * ) result)

ZLQT02

Purpose:

     ZLQT02 tests ZUNGLQ, 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, ZLQT02 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*16 array, dimension (LDA,N)
              The m-by-n matrix A which was factorized by ZLQT01.

    AF

              AF is COMPLEX*16 array, dimension (LDA,N)
              Details of the LQ factorization of A, as returned by ZGELQF.
              See ZGELQF for further details.

    Q

              Q is COMPLEX*16 array, dimension (LDA,N)

    L

              L is COMPLEX*16 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*16 array, dimension (M)
              The scalar factors of the elementary reflectors corresponding
              to the LQ factorization in AF.

    WORK

              WORK is COMPLEX*16 array, dimension (LWORK)

    LWORK

              LWORK is INTEGER
              The dimension of the array WORK.

    RWORK

              RWORK is DOUBLE PRECISION array, dimension (M)

    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 133 of file zlqt02.f.

Author

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