TESTING/LIN/srqt02.f(3)

NAME
TESTING/LIN/srqt02.f

SYNOPSIS

  Functions/Subroutines
subroutine srqt02 (m, n, k, a, af, q, r, lda, tau, work, lwork, rwork, result)
SRQT02

Function/Subroutine Documentation

  subroutine srqt02 (integer m, integer n, integer k, real, dimension( lda, * ) a, real, dimension( lda, * ) af, real, dimension( lda, * ) q, real, dimension( lda, * ) r, integer lda, real, dimension( * ) tau, real, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( * ) result)

SRQT02

Purpose:

     SRQT02 tests SORGRQ, 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, SRQT02 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 REAL array, dimension (LDA,N)
              The m-by-n matrix A which was factorized by SRQT01.

    AF

              AF is REAL array, dimension (LDA,N)
              Details of the RQ factorization of A, as returned by SGERQF.
              See SGERQF for further details.

    Q

              Q is REAL array, dimension (LDA,N)

    R

              R is REAL array, dimension (LDA,M)

    LDA

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

    TAU

              TAU is REAL array, dimension (M)
              The scalar factors of the elementary reflectors corresponding
              to the RQ factorization in AF.

    WORK

              WORK is REAL 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 - 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 srqt02.f.

Author

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