SRC/DEPRECATED/zgeqpf.f(3)                            Library Functions Manual

NAME
       SRC/DEPRECATED/zgeqpf.f

SYNOPSIS
   Functions/Subroutines
       subroutine zgeqpf (m, n, a, lda, jpvt, tau, work, rwork, info)
           ZGEQPF

Function/Subroutine Documentation
   subroutine zgeqpf (integer m, integer n, complex*16, dimension( lda, * ) a,
       integer lda, integer, dimension( * ) jpvt, complex*16, dimension( * )
       tau, complex*16, dimension( * ) work, double precision, dimension( * )
       rwork, integer info)
       ZGEQPF

       Purpose:


            This routine is deprecated and has been replaced by routine ZGEQP3.

            ZGEQPF computes a QR factorization with column pivoting of a
            complex 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 COMPLEX*16 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 unitary 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 COMPLEX*16 array, dimension (min(M,N))
                     The scalar factors of the elementary reflectors.

           WORK

                     WORK is COMPLEX*16 array, dimension (N)

           RWORK

                     RWORK is DOUBLE PRECISION array, dimension (2*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.

       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**H

             where tau is a complex scalar, and v is a complex 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 147 of file zgeqpf.f.

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

LAPACK                          Version 3.12.0      SRC/DEPRECATED/zgeqpf.f(3)