TESTING/LIN/zlqt02.f(3)    Library Functions Manual    TESTING/LIN/zlqt02.f(3)

NAME
       TESTING/LIN/zlqt02.f

SYNOPSIS
   Functions/Subroutines
       subroutine zlqt02 (m, n, k, a, af, q, l, lda, tau, work, lwork, rwork,
           result)
           ZLQT02

Function/Subroutine Documentation
   subroutine zlqt02 (integer m, integer n, integer k, complex*16, dimension(
       lda, * ) a, complex*16, dimension( lda, * ) af, complex*16, dimension(
       lda, * ) q, complex*16, dimension( lda, * ) l, integer lda, complex*16,
       dimension( * ) tau, complex*16, dimension( lwork ) work, integer lwork,
       double precision, dimension( * ) rwork, double precision, dimension( *
       ) result)
       ZLQT02

       Purpose:


           !>
           !> ZLQT02 tests ZUNGLQ, which generates an m-by-n matrix Q with
           !> orthonormal rows that is defined as the product of k elementary
           !> reflectors.
           !>
           !> Given the LQ factorization of an m-by-n matrix A, ZLQT02 generates
           !> the orthogonal matrix Q defined by the factorization of the first k
           !> rows of A; it compares L(1:k,1:m) with A(1:k,1:n)*Q(1:m,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*16 array, dimension (LDA,N)
           !>          The m-by-n matrix A which was factorized by ZLQT01.
           !>

           AF

           !>          AF is COMPLEX*16 array, dimension (LDA,N)
           !>          Details of the LQ factorization of A, as returned by ZGELQF.
           !>          See ZGELQF for further details.
           !>

           Q

           !>          Q is COMPLEX*16 array, dimension (LDA,N)
           !>

           L

           !>          L is COMPLEX*16 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*16 array, dimension (M)
           !>          The scalar factors of the elementary reflectors corresponding
           !>          to the LQ factorization in AF.
           !>

           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 (M)
           !>

           RESULT

           !>          RESULT is DOUBLE PRECISION array, dimension (2)
           !>          The test ratios:
           !>          RESULT(1) = norm( L - 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 133 of file zlqt02.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/zlqt02.f(3)