--- rpl/lapack/lapack/dlaqp2.f 2010/08/07 13:22:18 1.6
+++ rpl/lapack/lapack/dlaqp2.f 2012/12/14 12:30:24 1.13
@@ -1,10 +1,158 @@
+*> \brief \b DLAQP2 computes a QR factorization with column pivoting of the matrix block.
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DLAQP2 + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE DLAQP2( M, N, OFFSET, A, LDA, JPVT, TAU, VN1, VN2,
+* WORK )
+*
+* .. Scalar Arguments ..
+* INTEGER LDA, M, N, OFFSET
+* ..
+* .. Array Arguments ..
+* INTEGER JPVT( * )
+* DOUBLE PRECISION A( LDA, * ), TAU( * ), VN1( * ), VN2( * ),
+* $ WORK( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DLAQP2 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.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] M
+*> \verbatim
+*> M is INTEGER
+*> The number of rows of the matrix A. M >= 0.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The number of columns of the matrix A. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] OFFSET
+*> \verbatim
+*> OFFSET is INTEGER
+*> The number of rows of the matrix A that must be pivoted
+*> but no factorized. OFFSET >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] A
+*> \verbatim
+*> A is DOUBLE PRECISION 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.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> The leading dimension of the array A. LDA >= max(1,M).
+*> \endverbatim
+*>
+*> \param[in,out] JPVT
+*> \verbatim
+*> 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.
+*> \endverbatim
+*>
+*> \param[out] TAU
+*> \verbatim
+*> TAU is DOUBLE PRECISION array, dimension (min(M,N))
+*> The scalar factors of the elementary reflectors.
+*> \endverbatim
+*>
+*> \param[in,out] VN1
+*> \verbatim
+*> VN1 is DOUBLE PRECISION array, dimension (N)
+*> The vector with the partial column norms.
+*> \endverbatim
+*>
+*> \param[in,out] VN2
+*> \verbatim
+*> VN2 is DOUBLE PRECISION array, dimension (N)
+*> The vector with the exact column norms.
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is DOUBLE PRECISION array, dimension (N)
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date September 2012
+*
+*> \ingroup doubleOTHERauxiliary
+*
+*> \par Contributors:
+* ==================
+*>
+*> G. Quintana-Orti, Depto. de Informatica, Universidad Jaime I, Spain
+*> X. Sun, Computer Science Dept., Duke University, USA
+*> \n
+*> Partial column norm updating strategy modified on April 2011
+*> Z. Drmac and Z. Bujanovic, Dept. of Mathematics,
+*> University of Zagreb, Croatia.
+*
+*> \par References:
+* ================
+*>
+*> LAPACK Working Note 176
+*
+*> \htmlonly
+*> [PDF]
+*> \endhtmlonly
+*
+* =====================================================================
SUBROUTINE DLAQP2( M, N, OFFSET, A, LDA, JPVT, TAU, VN1, VN2,
$ WORK )
*
-* -- LAPACK auxiliary routine (version 3.2.2) --
+* -- LAPACK auxiliary routine (version 3.4.2) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* June 2010
+* September 2012
*
* .. Scalar Arguments ..
INTEGER LDA, M, N, OFFSET
@@ -15,68 +163,6 @@
$ WORK( * )
* ..
*
-* Purpose
-* =======
-*
-* DLAQP2 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) DOUBLE PRECISION 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 (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) DOUBLE PRECISION array, dimension (min(M,N))
-* The scalar factors of the elementary reflectors.
-*
-* VN1 (input/output) DOUBLE PRECISION array, dimension (N)
-* The vector with the partial column norms.
-*
-* VN2 (input/output) DOUBLE PRECISION array, dimension (N)
-* The vector with the exact column norms.
-*
-* WORK (workspace) DOUBLE PRECISION 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
-*
-* Partial column norm updating strategy modified by
-* Z. Drmac and Z. Bujanovic, Dept. of Mathematics,
-* University of Zagreb, Croatia.
-* June 2010
-* For more details see LAPACK Working Note 176.
* =====================================================================
*
* .. Parameters ..
@@ -133,7 +219,7 @@
*
IF( I.LE.N ) THEN
*
-* Apply H(i)' to A(offset+i:m,i+1:n) from the left.
+* Apply H(i)**T to A(offset+i:m,i+1:n) from the left.
*
AII = A( OFFPI, I )
A( OFFPI, I ) = ONE