TESTING/LIN/crqt01.f(3)

NAME
TESTING/LIN/crqt01.f

SYNOPSIS

  Functions/Subroutines
subroutine crqt01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork, result)
CRQT01

Function/Subroutine Documentation

  subroutine crqt01 (integer m, integer n, complex, dimension( lda, * ) a, complex, dimension( lda, * ) af, complex, dimension( lda, * ) q, complex, dimension( lda, * ) r, integer lda, complex, dimension( * ) tau, complex, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( * ) result)

CRQT01

Purpose:

     CRQT01 tests CGERQF, which computes the RQ factorization of an m-by-n
     matrix A, and partially tests CUNGRQ which forms the n-by-n
     orthogonal matrix Q.
     CRQT01 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 array, dimension (LDA,N)
              The m-by-n matrix A.

    AF

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

    Q

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

    R

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

    WORK

              WORK is COMPLEX array, dimension (LWORK)

    LWORK

              LWORK is INTEGER
              The dimension of the array WORK.

    RWORK

              RWORK is REAL array, dimension (max(M,N))

    RESULT

              RESULT is REAL 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 crqt01.f.

Author

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