TESTING/LIN/zqrt01.f(3)

NAME
TESTING/LIN/zqrt01.f

SYNOPSIS

  Functions/Subroutines
subroutine zqrt01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork, result)
ZQRT01

Function/Subroutine Documentation

  subroutine zqrt01 (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)

ZQRT01

Purpose:

     ZQRT01 tests ZGEQRF, which computes the QR factorization of an m-by-n
     matrix A, and partially tests ZUNGQR which forms the m-by-m
     orthogonal matrix Q.
     ZQRT01 compares R 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 QR factorization of A, as returned by ZGEQRF.
              See ZGEQRF for further details.

    Q

              Q is COMPLEX*16 array, dimension (LDA,M)
              The m-by-m 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 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 ZGEQRF.

    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( R - 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 zqrt01.f.

Author

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