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) )

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.

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