TESTING/LIN/zqpt01.f(3)

NAME
TESTING/LIN/zqpt01.f

SYNOPSIS

  Functions/Subroutines
double precision function zqpt01 (m, n, k, a, af, lda, tau, jpvt, work, lwork)
ZQPT01

Function/Subroutine Documentation

  double precision function zqpt01 (integer m, integer n, integer k, complex*16, dimension( lda, * ) a, complex*16, dimension( lda, * ) af, integer lda, complex*16, dimension( * ) tau, integer, dimension( * ) jpvt, complex*16, dimension( lwork ) work, integer lwork)

ZQPT01

Purpose:

     ZQPT01 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) )

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 COMPLEX*16 array, dimension (LDA, N)
              The original matrix A.

    AF

              AF is COMPLEX*16 array, dimension (LDA,N)
              The (possibly partial) output of ZGEQPF.  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 COMPLEX*16 array, dimension (K)
              Details of the Householder transformations as returned by
              ZGEQPF.

    JPVT

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

    WORK

              WORK is COMPLEX*16 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 118 of file zqpt01.f.

Author

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