TESTING/LIN/cqrt01.f(3)

NAME
TESTING/LIN/cqrt01.f

SYNOPSIS

  Functions/Subroutines
subroutine cqrt01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork, result)
CQRT01

Function/Subroutine Documentation

  subroutine cqrt01 (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)

CQRT01

Purpose:

     CQRT01 tests CGEQRF, which computes the QR factorization of an m-by-n
     matrix A, and partially tests CUNGQR which forms the m-by-m
     orthogonal matrix Q.
     CQRT01 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 array, dimension (LDA,N)
              The m-by-n matrix A.

    AF

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

    Q

              Q is COMPLEX array, dimension (LDA,M)
              The m-by-m 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 R.
              LDA >= max(M,N).

    TAU

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

    WORK

              WORK is COMPLEX array, dimension (LWORK)

    LWORK

              LWORK is INTEGER
              The dimension of the array WORK.

    RWORK

              RWORK is REAL array, dimension (M)

    RESULT

              RESULT is REAL 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 cqrt01.f.

Author

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