TESTING/LIN/dqrt01.f(3)    Library Functions Manual    TESTING/LIN/dqrt01.f(3)

NAME
       TESTING/LIN/dqrt01.f

SYNOPSIS
   Functions/Subroutines
       subroutine dqrt01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork,
           result)
           DQRT01

Function/Subroutine Documentation
   subroutine dqrt01 (integer m, integer n, double precision, dimension( lda,
       * ) a, double precision, dimension( lda, * ) af, double precision,
       dimension( lda, * ) q, double precision, dimension( lda, * ) r, integer
       lda, double precision, dimension( * ) tau, double precision, dimension(
       lwork ) work, integer lwork, double precision, dimension( * ) rwork,
       double precision, dimension( * ) result)
       DQRT01

       Purpose:


            DQRT01 tests DGEQRF, which computes the QR factorization of an m-by-n
            matrix A, and partially tests DORGQR which forms the m-by-m
            orthogonal matrix Q.

            DQRT01 compares R with Q'*A, 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 QR factorization of A, as returned by DGEQRF.
                     See DGEQRF for further details.

           Q

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

           R

                     R is DOUBLE PRECISION array, dimension (LDA,max(M,N))

           LDA

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

           TAU

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

           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 (M)

           RESULT

                     RESULT is DOUBLE PRECISION array, dimension (2)
                     The test ratios:
                     RESULT(1) = norm( R - Q'*A ) / ( M * norm(A) * EPS )
                     RESULT(2) = norm( I - Q'*Q ) / ( M * EPS )

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Definition at line 124 of file dqrt01.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/dqrt01.f(3)