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authorjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
committerjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
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- SUBROUTINE SLAQP2( M, N, OFFSET, A, LDA, JPVT, TAU, VN1, VN2,
- $ WORK )
-*
-* -- LAPACK auxiliary routine (version 3.3.1) --
-* -- LAPACK is a software package provided by Univ. of Tennessee, --
-* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* -- April 2011 --
-*
-* .. Scalar Arguments ..
- INTEGER LDA, M, N, OFFSET
-* ..
-* .. Array Arguments ..
- INTEGER JPVT( * )
- REAL A( LDA, * ), TAU( * ), VN1( * ), VN2( * ),
- $ WORK( * )
-* ..
-*
+*> \brief \b SLAQP2
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+* Definition
+* ==========
+*
+* SUBROUTINE SLAQP2( M, N, OFFSET, A, LDA, JPVT, TAU, VN1, VN2,
+* WORK )
+*
+* .. Scalar Arguments ..
+* INTEGER LDA, M, N, OFFSET
+* ..
+* .. Array Arguments ..
+* 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.
+*>\details \b Purpose:
+*>\verbatim
+*>
+*> 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.
+*>
+*>\endverbatim
*
* 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(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.
+*> \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 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.
+*> \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 REAL array, dimension (min(M,N))
+*> The scalar factors of the elementary reflectors.
+*> \endverbatim
+*>
+*> \param[in,out] VN1
+*> \verbatim
+*> VN1 is REAL array, dimension (N)
+*> The vector with the partial column norms.
+*> \endverbatim
+*>
+*> \param[in,out] VN2
+*> \verbatim
+*> VN2 is REAL array, dimension (N)
+*> The vector with the exact column norms.
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is REAL array, dimension (N)
+*> \endverbatim
+*>
+*
+* Authors
+* =======
*
-* TAU (output) REAL array, dimension (min(M,N))
-* The scalar factors of the elementary reflectors.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-* VN1 (input/output) REAL array, dimension (N)
-* The vector with the partial column norms.
+*> \date November 2011
*
-* VN2 (input/output) REAL array, dimension (N)
-* The vector with the exact column norms.
+*> \ingroup realOTHERauxiliary
*
-* WORK (workspace) REAL array, dimension (N)
*
* Further Details
* ===============
+*>\details \b Further \b Details
+*> \verbatim
+*>
+*> 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.
+*> -- April 2011 --
+*> For more details see LAPACK Working Note 176.
+*> \endverbatim
+*>
+* =====================================================================
+ SUBROUTINE SLAQP2( M, N, OFFSET, A, LDA, JPVT, TAU, VN1, VN2,
+ $ WORK )
+*
+* -- LAPACK auxiliary routine (version 3.3.1) --
+* -- LAPACK is a software package provided by Univ. of Tennessee, --
+* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+* November 2011
*
-* Based on contributions by
-* G. Quintana-Orti, Depto. de Informatica, Universidad Jaime I, Spain
-* X. Sun, Computer Science Dept., Duke University, USA
+* .. Scalar Arguments ..
+ INTEGER LDA, M, N, OFFSET
+* ..
+* .. Array Arguments ..
+ INTEGER JPVT( * )
+ REAL A( LDA, * ), TAU( * ), VN1( * ), VN2( * ),
+ $ WORK( * )
+* ..
*
-* Partial column norm updating strategy modified by
-* Z. Drmac and Z. Bujanovic, Dept. of Mathematics,
-* University of Zagreb, Croatia.
-* -- April 2011 --
-* For more details see LAPACK Working Note 176.
* =====================================================================
*
* .. Parameters ..