TESTING/LIN/zqlt01.f(3)

NAME
TESTING/LIN/zqlt01.f

SYNOPSIS

  Functions/Subroutines
subroutine zqlt01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork, result)
ZQLT01

Function/Subroutine Documentation

  subroutine zqlt01 (integer m, integer n, 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)

ZQLT01

Purpose:

     ZQLT01 tests ZGEQLF, which computes the QL factorization of an m-by-n
     matrix A, and partially tests ZUNGQL which forms the m-by-m
     orthogonal matrix Q.
     ZQLT01 compares L with Q'*A, 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 COMPLEX*16 array, dimension (LDA,N)
              The m-by-n matrix A.

    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,M)
              The m-by-m orthogonal matrix Q.

    L

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

    LDA

              LDA is INTEGER
              The leading dimension of the arrays A, AF, Q and R.
              LDA >= max(M,N).

    TAU

              TAU is COMPLEX*16 array, dimension (min(M,N))
              The scalar factors of the elementary reflectors, as returned
              by ZGEQLF.

    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 124 of file zqlt01.f.

Author

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