TESTING/LIN/crqt02.f(3)    Library Functions Manual    TESTING/LIN/crqt02.f(3)

NAME
       TESTING/LIN/crqt02.f

SYNOPSIS
   Functions/Subroutines
       subroutine crqt02 (m, n, k, a, af, q, r, lda, tau, work, lwork, rwork,
           result)
           CRQT02

Function/Subroutine Documentation
   subroutine crqt02 (integer m, integer n, integer k, 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)
       CRQT02

       Purpose:


            CRQT02 tests CUNGRQ, 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, CRQT02 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 array, dimension (LDA,N)
                     The m-by-n matrix A which was factorized by CRQT01.

           AF

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

           Q

                     Q is COMPLEX array, dimension (LDA,N)

           R

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

           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 - 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 crqt02.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0         TESTING/LIN/crqt02.f(3)