slaqp2.f(3)							      LAPACK							       slaqp2.f(3)

NAME

       slaqp2.f -

SYNOPSIS

   Functions/Subroutines
       subroutine slaqp2 (M, N, OFFSET, A, LDA, JPVT, TAU, VN1, VN2, WORK)
	   SLAQP2

Function/Subroutine Documentation
   subroutine slaqp2 (integerM, integerN, integerOFFSET, real, dimension( lda, * )A, integerLDA, integer, dimension( * )JPVT, real, dimension( *
       )TAU, real, dimension( * )VN1, real, dimension( * )VN2, real, dimension( * )WORK)
       SLAQP2

       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.

       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.

	   OFFSET

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

	   A

		     A is REAL array, dimension (LDA,N)
		     On entry, the M-by-N matrix A.
		     On exit, the upper triangle of block A(OFFSET+1:M,1:N) is
		     the triangular factor obtained; the elements in block
		     A(OFFSET+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

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

	   VN1

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

	   VN2

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

	   WORK

		     WORK is REAL array, dimension (N)

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Contributors:
	   G. Quintana-Orti, Depto. de Informatica, Universidad Jaime I, Spain X. Sun, Computer Science Dept., Duke University, USA
	    Partial column norm updating strategy modified on April 2011 Z. Drmac and Z. Bujanovic, Dept. of Mathematics, University of Zagreb,
	   Croatia.

       References:
	   LAPACK Working Note 176

       Definition at line 149 of file slaqp2.f.

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

Version 3.4.1							  Sun May 26 2013						       slaqp2.f(3)