NAME

       dgeqpf.f -

SYNOPSIS

   Functions/Subroutines
       subroutine dgeqpf (M, N, A, LDA, JPVT, TAU, WORK, INFO)
           DGEQPF

Function/Subroutine Documentation

   subroutine dgeqpf (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, integer,
       dimension( * )JPVT, double precision, dimension( * )TAU, double precision, dimension( * )WORK,
       integerINFO)
       DGEQPF

       Purpose:

            This routine is deprecated and has been replaced by routine DGEQP3.

            DGEQPF computes a QR factorization with column pivoting of a
            real M-by-N matrix A: A*P = Q*R.

       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)
                     On entry, the M-by-N matrix A.
                     On exit, the upper triangle of the array contains the
                     min(M,N)-by-N upper triangular matrix R; the elements
                     below the diagonal, together with the array TAU,
                     represent the orthogonal matrix Q as a product of
                     min(m,n) elementary reflectors.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A. LDA >= max(1,M).

           JPVT

                     JPVT is INTEGER array, dimension (N)
                     On entry, if JPVT(i) .ne. 0, the i-th column of A is permuted
                     to the front of A*P (a leading column); if JPVT(i) = 0,
                     the i-th column of A is a free column.
                     On exit, if JPVT(i) = k, then the i-th column of A*P
                     was the k-th column of A.

           TAU

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

           WORK

                     WORK is DOUBLE PRECISION array, dimension (3*N)

           INFO

                     INFO is INTEGER
                     = 0:  successful exit
                     < 0:  if INFO = -i, the i-th argument had an illegal value

       Author:
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Date:
           November 2011

       Further Details:

             The matrix Q is represented as a product of elementary reflectors

                Q = H(1) H(2) . . . H(n)

             Each H(i) has the form

                H = I - tau * v * v**T

             where tau is a real scalar, and v is a real vector with
             v(1:i-1) = 0 and v(i) = 1; v(i+1:m) is stored on exit in A(i+1:m,i).

             The matrix P is represented in jpvt as follows: If
                jpvt(j) = i
             then the jth column of P is the ith canonical unit vector.

             Partial column norm updating strategy modified by
               Z. Drmac and Z. Bujanovic, Dept. of Mathematics,
               University of Zagreb, Croatia.
             -- April 2011                                                      --
             For more details see LAPACK Working Note 176.

       Definition at line 143 of file dgeqpf.f.

Author

       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2                                    Wed Feb 26 2014                                     dgeqpf.f(3)