TESTING/LIN/zrqt02.f(3)

NAME
TESTING/LIN/zrqt02.f

SYNOPSIS

  Functions/Subroutines
subroutine zrqt02 (m, n, k, a, af, q, r, lda, tau, work, lwork, rwork, result)
ZRQT02

Function/Subroutine Documentation

  subroutine zrqt02 (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)

ZRQT02

Purpose:

     ZRQT02 tests ZUNGRQ, which generates an m-by-n matrix Q with
     orthonormal rows that is defined as the product of k elementary
     reflectors.
     Given the RQ factorization of an m-by-n matrix A, ZRQT02 generates
     the orthogonal matrix Q defined by the factorization of the last k
     rows of A; it compares R(m-k+1:m,n-m+1:n) with
     A(m-k+1:m,1:n)*Q(n-m+1:n,1:n)', and checks that the rows 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.
              N >= M >= 0.

    K

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

    A

              A is COMPLEX*16 array, dimension (LDA,N)
              The m-by-n matrix A which was factorized by ZRQT01.

    AF

              AF is COMPLEX*16 array, dimension (LDA,N)
              Details of the RQ factorization of A, as returned by ZGERQF.
              See ZGERQF for further details.

    Q

              Q is COMPLEX*16 array, dimension (LDA,N)

    R

              R is COMPLEX*16 array, dimension (LDA,M)

    LDA

              LDA is INTEGER
              The leading dimension of the arrays A, AF, Q and L. LDA >= N.

    TAU

              TAU is COMPLEX*16 array, dimension (M)
              The scalar factors of the elementary reflectors corresponding
              to the RQ 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 - 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 134 of file zrqt02.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.