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RedHat 9 (Linux i386) - man page for slaqp2 (redhat section l)

SLAQP2(l)					)					SLAQP2(l)

NAME
       SLAQP2 - compute a QR factorization with column pivoting of the block A(OFFSET+1:M,1:N)

SYNOPSIS
       SUBROUTINE SLAQP2( M, N, OFFSET, A, LDA, JPVT, TAU, VN1, VN2, WORK )

	   INTEGER	  LDA, M, N, OFFSET

	   INTEGER	  JPVT( * )

	   REAL 	  A( LDA, * ), TAU( * ), VN1( * ), VN2( * ), WORK( * )

PURPOSE
       SLAQP2  computes  a  QR factorization with column pivoting of the block A(OFFSET+1:M,1:N).
       The block A(1:OFFSET,1:N) is accordingly pivoted, but not factorized.

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.

       OFFSET  (input) INTEGER
	       The number of rows of the matrix A that must be pivoted but no factorized.  OFFSET
	       >= 0.

       A       (input/output) REAL array, dimension (LDA,N)
	       On  entry,  the	M-by-N	matrix	A.   On  exit, the upper triangle of block A(OFF-
	       SET+1:M,1:N) is the triangular factor  obtained;  the  elements	in  block  A(OFF-
	       SET+1:M,1:N)  below  the  diagonal,  together  with  the  array TAU, represent the
	       orthogonal matrix Q as a product of elementary reflectors.  Block  A(1:OFFSET,1:N)
	       has been accordingly pivoted, but no factorized.

       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) REAL array, dimension (min(M,N))
	       The scalar factors of the elementary reflectors.

       VN1     (input/output) REAL array, dimension (N)
	       The vector with the partial column norms.

       VN2     (input/output) REAL array, dimension (N)
	       The vector with the exact column norms.

       WORK    (workspace) REAL array, dimension (N)

FURTHER DETAILS
       Based on contributions by
	 G. Quintana-Orti, Depto. de Informatica, Universidad Jaime I, Spain
	 X. Sun, Computer Science Dept., Duke University, USA

LAPACK version 3.0			   15 June 2000 				SLAQP2(l)


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