
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CGEQPF  routine is deprecated and has been replaced by routine CGEQP3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This routine is deprecated and has been replaced by routine CGEQP3.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 MbyN 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 MbyN matrix A. On exit, the upper triangle of the array contains
the min(M,N)byN 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 ith column of A is permuted to the front of A*P
(a leading column); if JPVT(i) = 0, the ith column of A is a free column. On
exit, if JPVT(i) = k, then the ith column of A*P was the kth 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 ith 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:i1) = 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) 
