TESTING/LIN/zqrt02.f(3)

NAME
TESTING/LIN/zqrt02.f

SYNOPSIS

  Functions/Subroutines
subroutine zqrt02 (m, n, k, a, af, q, r, lda, tau, work, lwork, rwork, result)
ZQRT02

Function/Subroutine Documentation

  subroutine zqrt02 (integer m, integer n, integer k, 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)

ZQRT02

Purpose:

    !>
    !> ZQRT02 tests ZUNGQR, which generates an m-by-n matrix Q with
    !> orthonormal columns that is defined as the product of k elementary
    !> reflectors.
    !>
    !> Given the QR factorization of an m-by-n matrix A, ZQRT02 generates
    !> the orthogonal matrix Q defined by the factorization of the first k
    !> columns of A; it compares R(1:n,1:k) with Q(1:m,1:n)'*A(1:m,1:k),
    !> and checks that the columns of Q are orthonormal.
    !>

Parameters
    M

    !>          M is INTEGER
    !>          The number of rows of the matrix Q to be generated.  M >= 0.
    !>

    N

    !>          N is INTEGER
    !>          The number of columns of the matrix Q to be generated.
    !>          M >= N >= 0.
    !>

    K

    !>          K is INTEGER
    !>          The number of elementary reflectors whose product defines the
    !>          matrix Q. N >= K >= 0.
    !>

    A

    !>          A is COMPLEX*16 array, dimension (LDA,N)
    !>          The m-by-n matrix A which was factorized by ZQRT01.
    !>

    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,N)
    !>

    R

    !>          R is COMPLEX*16 array, dimension (LDA,N)
    !>

    LDA

    !>          LDA is INTEGER
    !>          The leading dimension of the arrays A, AF, Q and R. LDA >= M.
    !>

    TAU

    !>          TAU is COMPLEX*16 array, dimension (N)
    !>          The scalar factors of the elementary reflectors corresponding
    !>          to the QR factorization in AF.
    !>

    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 133 of file zqrt02.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.