TESTING/LIN/crqt03.f(3)    Library Functions Manual    TESTING/LIN/crqt03.f(3)

NAME
       TESTING/LIN/crqt03.f

SYNOPSIS
   Functions/Subroutines
       subroutine crqt03 (m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork,
           result)
           CRQT03

Function/Subroutine Documentation
   subroutine crqt03 (integer m, integer n, integer k, complex, dimension(
       lda, * ) af, complex, dimension( lda, * ) c, complex, dimension( lda, *
       ) cc, complex, dimension( lda, * ) q, integer lda, complex, dimension(
       * ) tau, complex, dimension( lwork ) work, integer lwork, real,
       dimension( * ) rwork, real, dimension( * ) result)
       CRQT03

       Purpose:


            CRQT03 tests CUNMRQ, which computes Q*C, Q'*C, C*Q or C*Q'.

            CRQT03 compares the results of a call to CUNMRQ with the results of
            forming Q explicitly by a call to CUNGRQ and then performing matrix
            multiplication by a call to CGEMM.

       Parameters
           M

                     M is INTEGER
                     The number of rows or columns of the matrix C; C is n-by-m if
                     Q is applied from the left, or m-by-n if Q is applied from
                     the right.  M >= 0.

           N

                     N is INTEGER
                     The order of the orthogonal matrix Q.  N >= 0.

           K

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

           AF

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

           C

                     C is COMPLEX array, dimension (LDA,N)

           CC

                     CC is COMPLEX array, dimension (LDA,N)

           Q

                     Q is COMPLEX array, dimension (LDA,N)

           LDA

                     LDA is INTEGER
                     The leading dimension of the arrays AF, C, CC, and Q.

           TAU

                     TAU is COMPLEX array, dimension (min(M,N))
                     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 length of WORK.  LWORK must be at least M, and should be
                     M*NB, where NB is the blocksize for this environment.

           RWORK

                     RWORK is REAL array, dimension (M)

           RESULT

                     RESULT is REAL array, dimension (4)
                     The test ratios compare two techniques for multiplying a
                     random matrix C by an n-by-n orthogonal matrix Q.
                     RESULT(1) = norm( Q*C - Q*C )  / ( N * norm(C) * EPS )
                     RESULT(2) = norm( C*Q - C*Q )  / ( N * norm(C) * EPS )
                     RESULT(3) = norm( Q'*C - Q'*C )/ ( N * norm(C) * EPS )
                     RESULT(4) = norm( C*Q' - C*Q' )/ ( N * norm(C) * EPS )

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Definition at line 134 of file crqt03.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/crqt03.f(3)