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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