TESTING/LIN/sqpt01.f(3)    Library Functions Manual    TESTING/LIN/sqpt01.f(3)

NAME
       TESTING/LIN/sqpt01.f

SYNOPSIS
   Functions/Subroutines
       real function sqpt01 (m, n, k, a, af, lda, tau, jpvt, work, lwork)
           SQPT01

Function/Subroutine Documentation
   real function sqpt01 (integer m, integer n, integer k, real, dimension(
       lda, * ) a, real, dimension( lda, * ) af, integer lda, real, dimension(
       * ) tau, integer, dimension( * ) jpvt, real, dimension( lwork ) work,
       integer lwork)
       SQPT01

       Purpose:


            SQPT01 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 REAL array, dimension (LDA, N)
                     The original matrix A.

           AF

                     AF is REAL array, dimension (LDA,N)
                     The (possibly partial) output of SGEQPF.  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 REAL array, dimension (K)
                     Details of the Householder transformations as returned by
                     SGEQPF.

           JPVT

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

           WORK

                     WORK is REAL 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 sqpt01.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/sqpt01.f(3)