TESTING/LIN/zqlt02.f(3)

NAME
TESTING/LIN/zqlt02.f

SYNOPSIS

  Functions/Subroutines
subroutine zqlt02 (m, n, k, a, af, q, l, lda, tau, work, lwork, rwork, result)
ZQLT02

Function/Subroutine Documentation

  subroutine zqlt02 (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)

ZQLT02

Purpose:

     ZQLT02 tests ZUNGQL, which generates an m-by-n matrix Q with
     orthonormal columns that is defined as the product of k elementary
     reflectors.
     Given the QL factorization of an m-by-n matrix A, ZQLT02 generates
     the orthogonal matrix Q defined by the factorization of the last k
     columns of A; it compares L(m-n+1:m,n-k+1:n) with
     Q(1:m,m-n+1:m)'*A(1:m,n-k+1:n), and checks that the columns 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.
              M >= N >= 0.

    K

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

    A

              A is COMPLEX*16 array, dimension (LDA,N)
              The m-by-n matrix A which was factorized by ZQLT01.

    AF

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

    Q

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

    L

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

    LDA

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

    TAU

              TAU is COMPLEX*16 array, dimension (N)
              The scalar factors of the elementary reflectors corresponding
              to the QL 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 - Q'*A ) / ( M * norm(A) * EPS )
              RESULT(2) = norm( I - Q'*Q ) / ( M * EPS )

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 134 of file zqlt02.f.

Author

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