TESTING/LIN/zrqt01.f(3)

NAME
TESTING/LIN/zrqt01.f

SYNOPSIS

  Functions/Subroutines
subroutine zrqt01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork, result)
ZRQT01

Function/Subroutine Documentation

  subroutine zrqt01 (integer m, integer n, complex*16, dimension( lda, * ) a, complex*16, dimension( lda, * ) af, complex*16, dimension( lda, * ) q, complex*16, dimension( lda, * ) r, integer lda, complex*16, dimension( * ) tau, complex*16, dimension( lwork ) work, integer lwork, double precision, dimension( * ) rwork, double precision, dimension( * ) result)

ZRQT01

Purpose:

     ZRQT01 tests ZGERQF, which computes the RQ factorization of an m-by-n
     matrix A, and partially tests ZUNGRQ which forms the n-by-n
     orthogonal matrix Q.
     ZRQT01 compares R 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 COMPLEX*16 array, dimension (LDA,N)
              The m-by-n matrix A.

    AF

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

    Q

              Q is COMPLEX*16 array, dimension (LDA,N)
              The n-by-n orthogonal matrix Q.

    R

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

    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 (max(M,N))

    RESULT

              RESULT is DOUBLE PRECISION array, dimension (2)
              The test ratios:
              RESULT(1) = norm( R - 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 zrqt01.f.

Author

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