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RedHat 9 (Linux i386) - man page for cgeqpf (redhat section l)

CGEQPF(l)					)					CGEQPF(l)

NAME
       CGEQPF - routine is deprecated and has been replaced by routine CGEQP3

SYNOPSIS
       SUBROUTINE CGEQPF( M, N, A, LDA, JPVT, TAU, WORK, RWORK, INFO )

	   INTEGER	  INFO, LDA, M, N

	   INTEGER	  JPVT( * )

	   REAL 	  RWORK( * )

	   COMPLEX	  A( LDA, * ), TAU( * ), WORK( * )

PURPOSE
       This  routine is deprecated and has been replaced by routine CGEQP3.  CGEQPF computes a QR
       factorization with column pivoting of a complex M-by-N matrix A: A*P = Q*R.

ARGUMENTS
       M       (input) INTEGER
	       The number of rows of the matrix A. M >= 0.

       N       (input) INTEGER
	       The number of columns of the matrix A. N >= 0

       A       (input/output) COMPLEX 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     (input) INTEGER
	       The leading dimension of the array A. LDA >= max(1,M).

       JPVT    (input/output) 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     (output) COMPLEX array, dimension (min(M,N))
	       The scalar factors of the elementary reflectors.

       WORK    (workspace) COMPLEX array, dimension (N)

       RWORK   (workspace) REAL array, dimension (2*N)

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

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'

       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.

LAPACK version 3.0			   15 June 2000 				CGEQPF(l)


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