TESTING/LIN/zrqt01.f(3)    Library Functions Manual    TESTING/LIN/zrqt01.f(3)

NAME
       TESTING/LIN/zrqt01.f

SYNOPSIS
   Functions/Subroutines
       subroutine zrqt01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork,
           result)
           ZRQT01

Function/Subroutine Documentation
   subroutine zrqt01 (integer m, integer n, 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)
       ZRQT01

       Purpose:


           !>
           !> ZRQT01 tests ZGERQF, which computes the RQ factorization of an m-by-n
           !> matrix A, and partially tests ZUNGRQ which forms the n-by-n
           !> orthogonal matrix Q.
           !>
           !> ZRQT01 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*16 array, dimension (LDA,N)
           !>          The m-by-n matrix A.
           !>

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

           R

           !>          R is COMPLEX*16 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*16 array, dimension (min(M,N))
           !>          The scalar factors of the elementary reflectors, as returned
           !>          by ZGERQF.
           !>

           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 (max(M,N))
           !>

           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 124 of file zrqt01.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/zrqt01.f(3)