TESTING/LIN/crqt01.f(3)    Library Functions Manual    TESTING/LIN/crqt01.f(3)

NAME
       TESTING/LIN/crqt01.f

SYNOPSIS
   Functions/Subroutines
       subroutine crqt01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork,
           result)
           CRQT01

Function/Subroutine Documentation
   subroutine crqt01 (integer m, integer n, 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)
       CRQT01

       Purpose:


           !>
           !> CRQT01 tests CGERQF, which computes the RQ factorization of an m-by-n
           !> matrix A, and partially tests CUNGRQ which forms the n-by-n
           !> orthogonal matrix Q.
           !>
           !> CRQT01 compares R with A*Q', and checks that Q is orthogonal.
           !>

       Parameters
           M

           !>          M is INTEGER
           !>          The number of rows of the matrix A.  M >= 0.
           !>

           N

           !>          N is INTEGER
           !>          The number of columns of the matrix A.  N >= 0.
           !>

           A

           !>          A is COMPLEX array, dimension (LDA,N)
           !>          The m-by-n matrix A.
           !>

           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)
           !>          The n-by-n orthogonal matrix Q.
           !>

           R

           !>          R is COMPLEX array, dimension (LDA,max(M,N))
           !>

           LDA

           !>          LDA is INTEGER
           !>          The leading dimension of the arrays A, AF, Q and L.
           !>          LDA >= max(M,N).
           !>

           TAU

           !>          TAU is COMPLEX array, dimension (min(M,N))
           !>          The scalar factors of the elementary reflectors, as returned
           !>          by CGERQF.
           !>

           WORK

           !>          WORK is COMPLEX array, dimension (LWORK)
           !>

           LWORK

           !>          LWORK is INTEGER
           !>          The dimension of the array WORK.
           !>

           RWORK

           !>          RWORK is REAL array, dimension (max(M,N))
           !>

           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 124 of file crqt01.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/crqt01.f(3)