TESTING/LIN/dlqt01.f(3)    Library Functions Manual    TESTING/LIN/dlqt01.f(3)

NAME
       TESTING/LIN/dlqt01.f

SYNOPSIS
   Functions/Subroutines
       subroutine dlqt01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork,
           result)
           DLQT01

Function/Subroutine Documentation
   subroutine dlqt01 (integer m, integer n, double precision, dimension( lda,
       * ) a, double precision, dimension( lda, * ) af, double precision,
       dimension( lda, * ) q, double precision, dimension( lda, * ) l, integer
       lda, double precision, dimension( * ) tau, double precision, dimension(
       lwork ) work, integer lwork, double precision, dimension( * ) rwork,
       double precision, dimension( * ) result)
       DLQT01

       Purpose:


            DLQT01 tests DGELQF, which computes the LQ factorization of an m-by-n
            matrix A, and partially tests DORGLQ which forms the n-by-n
            orthogonal matrix Q.

            DLQT01 compares L 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 DOUBLE PRECISION array, dimension (LDA,N)
                     The m-by-n matrix A.

           AF

                     AF is DOUBLE PRECISION array, dimension (LDA,N)
                     Details of the LQ factorization of A, as returned by DGELQF.
                     See DGELQF for further details.

           Q

                     Q is DOUBLE PRECISION array, dimension (LDA,N)
                     The n-by-n orthogonal matrix Q.

           L

                     L is DOUBLE PRECISION 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 DOUBLE PRECISION array, dimension (min(M,N))
                     The scalar factors of the elementary reflectors, as returned
                     by DGELQF.

           WORK

                     WORK is DOUBLE PRECISION 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( 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 124 of file dlqt01.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/dlqt01.f(3)