--- rpl/lapack/lapack/dlasd8.f 2010/12/21 13:53:33 1.9
+++ rpl/lapack/lapack/dlasd8.f 2011/11/21 20:42:59 1.10
@@ -1,10 +1,175 @@
+*> \brief \b DLASD8
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DLASD8 + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE DLASD8( ICOMPQ, K, D, Z, VF, VL, DIFL, DIFR, LDDIFR,
+* DSIGMA, WORK, INFO )
+*
+* .. Scalar Arguments ..
+* INTEGER ICOMPQ, INFO, K, LDDIFR
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION D( * ), DIFL( * ), DIFR( LDDIFR, * ),
+* $ DSIGMA( * ), VF( * ), VL( * ), WORK( * ),
+* $ Z( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DLASD8 finds the square roots of the roots of the secular equation,
+*> as defined by the values in DSIGMA and Z. It makes the appropriate
+*> calls to DLASD4, and stores, for each element in D, the distance
+*> to its two nearest poles (elements in DSIGMA). It also updates
+*> the arrays VF and VL, the first and last components of all the
+*> right singular vectors of the original bidiagonal matrix.
+*>
+*> DLASD8 is called from DLASD6.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] ICOMPQ
+*> \verbatim
+*> ICOMPQ is INTEGER
+*> Specifies whether singular vectors are to be computed in
+*> factored form in the calling routine:
+*> = 0: Compute singular values only.
+*> = 1: Compute singular vectors in factored form as well.
+*> \endverbatim
+*>
+*> \param[in] K
+*> \verbatim
+*> K is INTEGER
+*> The number of terms in the rational function to be solved
+*> by DLASD4. K >= 1.
+*> \endverbatim
+*>
+*> \param[out] D
+*> \verbatim
+*> D is DOUBLE PRECISION array, dimension ( K )
+*> On output, D contains the updated singular values.
+*> \endverbatim
+*>
+*> \param[in,out] Z
+*> \verbatim
+*> Z is DOUBLE PRECISION array, dimension ( K )
+*> On entry, the first K elements of this array contain the
+*> components of the deflation-adjusted updating row vector.
+*> On exit, Z is updated.
+*> \endverbatim
+*>
+*> \param[in,out] VF
+*> \verbatim
+*> VF is DOUBLE PRECISION array, dimension ( K )
+*> On entry, VF contains information passed through DBEDE8.
+*> On exit, VF contains the first K components of the first
+*> components of all right singular vectors of the bidiagonal
+*> matrix.
+*> \endverbatim
+*>
+*> \param[in,out] VL
+*> \verbatim
+*> VL is DOUBLE PRECISION array, dimension ( K )
+*> On entry, VL contains information passed through DBEDE8.
+*> On exit, VL contains the first K components of the last
+*> components of all right singular vectors of the bidiagonal
+*> matrix.
+*> \endverbatim
+*>
+*> \param[out] DIFL
+*> \verbatim
+*> DIFL is DOUBLE PRECISION array, dimension ( K )
+*> On exit, DIFL(I) = D(I) - DSIGMA(I).
+*> \endverbatim
+*>
+*> \param[out] DIFR
+*> \verbatim
+*> DIFR is DOUBLE PRECISION array,
+*> dimension ( LDDIFR, 2 ) if ICOMPQ = 1 and
+*> dimension ( K ) if ICOMPQ = 0.
+*> On exit, DIFR(I,1) = D(I) - DSIGMA(I+1), DIFR(K,1) is not
+*> defined and will not be referenced.
+*>
+*> If ICOMPQ = 1, DIFR(1:K,2) is an array containing the
+*> normalizing factors for the right singular vector matrix.
+*> \endverbatim
+*>
+*> \param[in] LDDIFR
+*> \verbatim
+*> LDDIFR is INTEGER
+*> The leading dimension of DIFR, must be at least K.
+*> \endverbatim
+*>
+*> \param[in,out] DSIGMA
+*> \verbatim
+*> DSIGMA is DOUBLE PRECISION array, dimension ( K )
+*> On entry, the first K elements of this array contain the old
+*> roots of the deflated updating problem. These are the poles
+*> of the secular equation.
+*> On exit, the elements of DSIGMA may be very slightly altered
+*> in value.
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is DOUBLE PRECISION array, dimension at least 3 * K
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: successful exit.
+*> < 0: if INFO = -i, the i-th argument had an illegal value.
+*> > 0: if INFO = 1, a singular value did not converge
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2011
+*
+*> \ingroup auxOTHERauxiliary
+*
+*> \par Contributors:
+* ==================
+*>
+*> Ming Gu and Huan Ren, Computer Science Division, University of
+*> California at Berkeley, USA
+*>
+* =====================================================================
SUBROUTINE DLASD8( ICOMPQ, K, D, Z, VF, VL, DIFL, DIFR, LDDIFR,
$ DSIGMA, WORK, INFO )
*
-* -- LAPACK auxiliary routine (version 3.3.0) --
+* -- LAPACK auxiliary routine (version 3.4.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2010
+* November 2011
*
* .. Scalar Arguments ..
INTEGER ICOMPQ, INFO, K, LDDIFR
@@ -15,87 +180,6 @@
$ Z( * )
* ..
*
-* Purpose
-* =======
-*
-* DLASD8 finds the square roots of the roots of the secular equation,
-* as defined by the values in DSIGMA and Z. It makes the appropriate
-* calls to DLASD4, and stores, for each element in D, the distance
-* to its two nearest poles (elements in DSIGMA). It also updates
-* the arrays VF and VL, the first and last components of all the
-* right singular vectors of the original bidiagonal matrix.
-*
-* DLASD8 is called from DLASD6.
-*
-* Arguments
-* =========
-*
-* ICOMPQ (input) INTEGER
-* Specifies whether singular vectors are to be computed in
-* factored form in the calling routine:
-* = 0: Compute singular values only.
-* = 1: Compute singular vectors in factored form as well.
-*
-* K (input) INTEGER
-* The number of terms in the rational function to be solved
-* by DLASD4. K >= 1.
-*
-* D (output) DOUBLE PRECISION array, dimension ( K )
-* On output, D contains the updated singular values.
-*
-* Z (input/output) DOUBLE PRECISION array, dimension ( K )
-* On entry, the first K elements of this array contain the
-* components of the deflation-adjusted updating row vector.
-* On exit, Z is updated.
-*
-* VF (input/output) DOUBLE PRECISION array, dimension ( K )
-* On entry, VF contains information passed through DBEDE8.
-* On exit, VF contains the first K components of the first
-* components of all right singular vectors of the bidiagonal
-* matrix.
-*
-* VL (input/output) DOUBLE PRECISION array, dimension ( K )
-* On entry, VL contains information passed through DBEDE8.
-* On exit, VL contains the first K components of the last
-* components of all right singular vectors of the bidiagonal
-* matrix.
-*
-* DIFL (output) DOUBLE PRECISION array, dimension ( K )
-* On exit, DIFL(I) = D(I) - DSIGMA(I).
-*
-* DIFR (output) DOUBLE PRECISION array,
-* dimension ( LDDIFR, 2 ) if ICOMPQ = 1 and
-* dimension ( K ) if ICOMPQ = 0.
-* On exit, DIFR(I,1) = D(I) - DSIGMA(I+1), DIFR(K,1) is not
-* defined and will not be referenced.
-*
-* If ICOMPQ = 1, DIFR(1:K,2) is an array containing the
-* normalizing factors for the right singular vector matrix.
-*
-* LDDIFR (input) INTEGER
-* The leading dimension of DIFR, must be at least K.
-*
-* DSIGMA (input/output) DOUBLE PRECISION array, dimension ( K )
-* On entry, the first K elements of this array contain the old
-* roots of the deflated updating problem. These are the poles
-* of the secular equation.
-* On exit, the elements of DSIGMA may be very slightly altered
-* in value.
-*
-* WORK (workspace) DOUBLE PRECISION array, dimension at least 3 * K
-*
-* INFO (output) INTEGER
-* = 0: successful exit.
-* < 0: if INFO = -i, the i-th argument had an illegal value.
-* > 0: if INFO = 1, a singular value did not converge
-*
-* Further Details
-* ===============
-*
-* Based on contributions by
-* Ming Gu and Huan Ren, Computer Science Division, University of
-* California at Berkeley, USA
-*
* =====================================================================
*
* .. Parameters ..