TESTING/LIN/dqpt01.f(3)    Library Functions Manual    TESTING/LIN/dqpt01.f(3)

NAME
       TESTING/LIN/dqpt01.f

SYNOPSIS
   Functions/Subroutines
       double precision function dqpt01 (m, n, k, a, af, lda, tau, jpvt, work,
           lwork)
           DQPT01

Function/Subroutine Documentation
   double precision function dqpt01 (integer m, integer n, integer k, double
       precision, dimension( lda, * ) a, double precision, dimension( lda, * )
       af, integer lda, double precision, dimension( * ) tau, integer,
       dimension( * ) jpvt, double precision, dimension( lwork ) work, integer
       lwork)
       DQPT01

       Purpose:


            DQPT01 tests the QR-factorization with pivoting of a matrix A.  The
            array AF contains the (possibly partial) QR-factorization of A, where
            the upper triangle of AF(1:K,1:K) is a partial triangular factor,
            the entries below the diagonal in the first K columns are the
            Householder vectors, and the rest of AF contains a partially updated
            matrix.

            This function returns ||A*P - Q*R|| / ( ||norm(A)||*eps*max(M,N) ),
            where || . || is matrix one norm.

       Parameters
           M

                     M is INTEGER
                     The number of rows of the matrices A and AF.

           N

                     N is INTEGER
                     The number of columns of the matrices A and AF.

           K

                     K is INTEGER
                     The number of columns of AF that have been reduced
                     to upper triangular form.

           A

                     A is DOUBLE PRECISION array, dimension (LDA, N)
                     The original matrix A.

           AF

                     AF is DOUBLE PRECISION array, dimension (LDA,N)
                     The (possibly partial) output of DGEQPF.  The upper triangle
                     of AF(1:k,1:k) is a partial triangular factor, the entries
                     below the diagonal in the first k columns are the Householder
                     vectors, and the rest of AF contains a partially updated
                     matrix.

           LDA

                     LDA is INTEGER
                     The leading dimension of the arrays A and AF.

           TAU

                     TAU is DOUBLE PRECISION array, dimension (K)
                     Details of the Householder transformations as returned by
                     DGEQPF.

           JPVT

                     JPVT is INTEGER array, dimension (N)
                     Pivot information as returned by DGEQPF.

           WORK

                     WORK is DOUBLE PRECISION array, dimension (LWORK)

           LWORK

                     LWORK is INTEGER
                     The length of the array WORK.  LWORK >= M*N+N.

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Definition at line 119 of file dqpt01.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/dqpt01.f(3)