--- rpl/lapack/lapack/dlarrk.f 2010/12/21 13:53:32 1.7
+++ rpl/lapack/lapack/dlarrk.f 2011/11/21 20:42:58 1.8
@@ -1,11 +1,154 @@
+*> \brief \b DLARRK
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DLARRK + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE DLARRK( N, IW, GL, GU,
+* D, E2, PIVMIN, RELTOL, W, WERR, INFO)
+*
+* .. Scalar Arguments ..
+* INTEGER INFO, IW, N
+* DOUBLE PRECISION PIVMIN, RELTOL, GL, GU, W, WERR
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION D( * ), E2( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DLARRK computes one eigenvalue of a symmetric tridiagonal
+*> matrix T to suitable accuracy. This is an auxiliary code to be
+*> called from DSTEMR.
+*>
+*> To avoid overflow, the matrix must be scaled so that its
+*> largest element is no greater than overflow**(1/2) * underflow**(1/4) in absolute value, and for greatest
+*> accuracy, it should not be much smaller than that.
+*>
+*> See W. Kahan "Accurate Eigenvalues of a Symmetric Tridiagonal
+*> Matrix", Report CS41, Computer Science Dept., Stanford
+*> University, July 21, 1966.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The order of the tridiagonal matrix T. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] IW
+*> \verbatim
+*> IW is INTEGER
+*> The index of the eigenvalues to be returned.
+*> \endverbatim
+*>
+*> \param[in] GL
+*> \verbatim
+*> GL is DOUBLE PRECISION
+*> \endverbatim
+*>
+*> \param[in] GU
+*> \verbatim
+*> GU is DOUBLE PRECISION
+*> An upper and a lower bound on the eigenvalue.
+*> \endverbatim
+*>
+*> \param[in] D
+*> \verbatim
+*> D is DOUBLE PRECISION array, dimension (N)
+*> The n diagonal elements of the tridiagonal matrix T.
+*> \endverbatim
+*>
+*> \param[in] E2
+*> \verbatim
+*> E2 is DOUBLE PRECISION array, dimension (N-1)
+*> The (n-1) squared off-diagonal elements of the tridiagonal matrix T.
+*> \endverbatim
+*>
+*> \param[in] PIVMIN
+*> \verbatim
+*> PIVMIN is DOUBLE PRECISION
+*> The minimum pivot allowed in the Sturm sequence for T.
+*> \endverbatim
+*>
+*> \param[in] RELTOL
+*> \verbatim
+*> RELTOL is DOUBLE PRECISION
+*> The minimum relative width of an interval. When an interval
+*> is narrower than RELTOL times the larger (in
+*> magnitude) endpoint, then it is considered to be
+*> sufficiently small, i.e., converged. Note: this should
+*> always be at least radix*machine epsilon.
+*> \endverbatim
+*>
+*> \param[out] W
+*> \verbatim
+*> W is DOUBLE PRECISION
+*> \endverbatim
+*>
+*> \param[out] WERR
+*> \verbatim
+*> WERR is DOUBLE PRECISION
+*> The error bound on the corresponding eigenvalue approximation
+*> in W.
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: Eigenvalue converged
+*> = -1: Eigenvalue did NOT converge
+*> \endverbatim
+*
+*> \par Internal Parameters:
+* =========================
+*>
+*> \verbatim
+*> FUDGE DOUBLE PRECISION, default = 2
+*> A "fudge factor" to widen the Gershgorin intervals.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2011
+*
+*> \ingroup auxOTHERauxiliary
+*
+* =====================================================================
SUBROUTINE DLARRK( N, IW, GL, GU,
$ D, E2, PIVMIN, RELTOL, W, WERR, INFO)
- IMPLICIT NONE
*
-* -- LAPACK auxiliary routine (version 3.2) --
+* -- 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 2006
+* November 2011
*
* .. Scalar Arguments ..
INTEGER INFO, IW, N
@@ -15,67 +158,6 @@
DOUBLE PRECISION D( * ), E2( * )
* ..
*
-* Purpose
-* =======
-*
-* DLARRK computes one eigenvalue of a symmetric tridiagonal
-* matrix T to suitable accuracy. This is an auxiliary code to be
-* called from DSTEMR.
-*
-* To avoid overflow, the matrix must be scaled so that its
-* largest element is no greater than overflow**(1/2) *
-* underflow**(1/4) in absolute value, and for greatest
-* accuracy, it should not be much smaller than that.
-*
-* See W. Kahan "Accurate Eigenvalues of a Symmetric Tridiagonal
-* Matrix", Report CS41, Computer Science Dept., Stanford
-* University, July 21, 1966.
-*
-* Arguments
-* =========
-*
-* N (input) INTEGER
-* The order of the tridiagonal matrix T. N >= 0.
-*
-* IW (input) INTEGER
-* The index of the eigenvalues to be returned.
-*
-* GL (input) DOUBLE PRECISION
-* GU (input) DOUBLE PRECISION
-* An upper and a lower bound on the eigenvalue.
-*
-* D (input) DOUBLE PRECISION array, dimension (N)
-* The n diagonal elements of the tridiagonal matrix T.
-*
-* E2 (input) DOUBLE PRECISION array, dimension (N-1)
-* The (n-1) squared off-diagonal elements of the tridiagonal matrix T.
-*
-* PIVMIN (input) DOUBLE PRECISION
-* The minimum pivot allowed in the Sturm sequence for T.
-*
-* RELTOL (input) DOUBLE PRECISION
-* The minimum relative width of an interval. When an interval
-* is narrower than RELTOL times the larger (in
-* magnitude) endpoint, then it is considered to be
-* sufficiently small, i.e., converged. Note: this should
-* always be at least radix*machine epsilon.
-*
-* W (output) DOUBLE PRECISION
-*
-* WERR (output) DOUBLE PRECISION
-* The error bound on the corresponding eigenvalue approximation
-* in W.
-*
-* INFO (output) INTEGER
-* = 0: Eigenvalue converged
-* = -1: Eigenvalue did NOT converge
-*
-* Internal Parameters
-* ===================
-*
-* FUDGE DOUBLE PRECISION, default = 2
-* A "fudge factor" to widen the Gershgorin intervals.
-*
* =====================================================================
*
* .. Parameters ..