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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
commite1d39294aee16fa6db9ba079b14442358217db71 (patch)
tree30e5aa04c1f6596991fda5334f63dfb9b8027849 /SRC/iparmq.f
parent5fe0466a14e395641f4f8a300ecc9dcb8058081b (diff)
Integrating Doxygen in comments
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- INTEGER FUNCTION IPARMQ( ISPEC, NAME, OPTS, N, ILO, IHI, LWORK )
+*> \brief \b IPARMQ
*
-* -- LAPACK auxiliary routine (version 3.2) --
-* -- LAPACK is a software package provided by Univ. of Tennessee, --
-* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
-*
-* .. Scalar Arguments ..
- INTEGER IHI, ILO, ISPEC, LWORK, N
- CHARACTER NAME*( * ), OPTS*( * )
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
+* Definition
+* ==========
+*
+* INTEGER FUNCTION IPARMQ( ISPEC, NAME, OPTS, N, ILO, IHI, LWORK )
+*
+* .. Scalar Arguments ..
+* INTEGER IHI, ILO, ISPEC, LWORK, N
+* CHARACTER NAME*( * ), OPTS*( * )
+*
* Purpose
* =======
*
-* This program sets problem and machine dependent parameters
-* useful for xHSEQR and its subroutines. It is called whenever
-* ILAENV is called with 12 <= ISPEC <= 16
+*>\details \b Purpose:
+*>\verbatim
+*>
+*> This program sets problem and machine dependent parameters
+*> useful for xHSEQR and its subroutines. It is called whenever
+*> ILAENV is called with 12 <= ISPEC <= 16
+*>
+*>\endverbatim
*
* Arguments
* =========
*
-* ISPEC (input) integer scalar
-* ISPEC specifies which tunable parameter IPARMQ should
-* return.
-*
-* ISPEC=12: (INMIN) Matrices of order nmin or less
-* are sent directly to xLAHQR, the implicit
-* double shift QR algorithm. NMIN must be
-* at least 11.
-*
-* ISPEC=13: (INWIN) Size of the deflation window.
-* This is best set greater than or equal to
-* the number of simultaneous shifts NS.
-* Larger matrices benefit from larger deflation
-* windows.
-*
-* ISPEC=14: (INIBL) Determines when to stop nibbling and
-* invest in an (expensive) multi-shift QR sweep.
-* If the aggressive early deflation subroutine
-* finds LD converged eigenvalues from an order
-* NW deflation window and LD.GT.(NW*NIBBLE)/100,
-* then the next QR sweep is skipped and early
-* deflation is applied immediately to the
-* remaining active diagonal block. Setting
-* IPARMQ(ISPEC=14) = 0 causes TTQRE to skip a
-* multi-shift QR sweep whenever early deflation
-* finds a converged eigenvalue. Setting
-* IPARMQ(ISPEC=14) greater than or equal to 100
-* prevents TTQRE from skipping a multi-shift
-* QR sweep.
-*
-* ISPEC=15: (NSHFTS) The number of simultaneous shifts in
-* a multi-shift QR iteration.
-*
-* ISPEC=16: (IACC22) IPARMQ is set to 0, 1 or 2 with the
-* following meanings.
-* 0: During the multi-shift QR sweep,
-* xLAQR5 does not accumulate reflections and
-* does not use matrix-matrix multiply to
-* update the far-from-diagonal matrix
-* entries.
-* 1: During the multi-shift QR sweep,
-* xLAQR5 and/or xLAQRaccumulates reflections and uses
-* matrix-matrix multiply to update the
-* far-from-diagonal matrix entries.
-* 2: During the multi-shift QR sweep.
-* xLAQR5 accumulates reflections and takes
-* advantage of 2-by-2 block structure during
-* matrix-matrix multiplies.
-* (If xTRMM is slower than xGEMM, then
-* IPARMQ(ISPEC=16)=1 may be more efficient than
-* IPARMQ(ISPEC=16)=2 despite the greater level of
-* arithmetic work implied by the latter choice.)
-*
-* NAME (input) character string
-* Name of the calling subroutine
-*
-* OPTS (input) character string
-* This is a concatenation of the string arguments to
-* TTQRE.
-*
-* N (input) integer scalar
-* N is the order of the Hessenberg matrix H.
-*
-* ILO (input) INTEGER
-*
-* IHI (input) INTEGER
-* It is assumed that H is already upper triangular
-* in rows and columns 1:ILO-1 and IHI+1:N.
-*
-* LWORK (input) integer scalar
-* The amount of workspace available.
-*
-* Further Details
-* ===============
-*
-* Little is known about how best to choose these parameters.
-* It is possible to use different values of the parameters
-* for each of CHSEQR, DHSEQR, SHSEQR and ZHSEQR.
-*
-* It is probably best to choose different parameters for
-* different matrices and different parameters at different
-* times during the iteration, but this has not been
-* implemented --- yet.
-*
-*
-* The best choices of most of the parameters depend
-* in an ill-understood way on the relative execution
-* rate of xLAQR3 and xLAQR5 and on the nature of each
-* particular eigenvalue problem. Experiment may be the
-* only practical way to determine which choices are most
-* effective.
-*
-* Following is a list of default values supplied by IPARMQ.
-* These defaults may be adjusted in order to attain better
-* performance in any particular computational environment.
-*
-* IPARMQ(ISPEC=12) The xLAHQR vs xLAQR0 crossover point.
-* Default: 75. (Must be at least 11.)
-*
-* IPARMQ(ISPEC=13) Recommended deflation window size.
-* This depends on ILO, IHI and NS, the
-* number of simultaneous shifts returned
-* by IPARMQ(ISPEC=15). The default for
-* (IHI-ILO+1).LE.500 is NS. The default
-* for (IHI-ILO+1).GT.500 is 3*NS/2.
-*
-* IPARMQ(ISPEC=14) Nibble crossover point. Default: 14.
+*> \param[in] ISPEC
+*> \verbatim
+*> ISPEC is integer scalar
+*> ISPEC specifies which tunable parameter IPARMQ should
+*> return.
+*> \endverbatim
+*> \verbatim
+*> ISPEC=12: (INMIN) Matrices of order nmin or less
+*> are sent directly to xLAHQR, the implicit
+*> double shift QR algorithm. NMIN must be
+*> at least 11.
+*> \endverbatim
+*> \verbatim
+*> ISPEC=13: (INWIN) Size of the deflation window.
+*> This is best set greater than or equal to
+*> the number of simultaneous shifts NS.
+*> Larger matrices benefit from larger deflation
+*> windows.
+*> \endverbatim
+*> \verbatim
+*> ISPEC=14: (INIBL) Determines when to stop nibbling and
+*> invest in an (expensive) multi-shift QR sweep.
+*> If the aggressive early deflation subroutine
+*> finds LD converged eigenvalues from an order
+*> NW deflation window and LD.GT.(NW*NIBBLE)/100,
+*> then the next QR sweep is skipped and early
+*> deflation is applied immediately to the
+*> remaining active diagonal block. Setting
+*> IPARMQ(ISPEC=14) = 0 causes TTQRE to skip a
+*> multi-shift QR sweep whenever early deflation
+*> finds a converged eigenvalue. Setting
+*> IPARMQ(ISPEC=14) greater than or equal to 100
+*> prevents TTQRE from skipping a multi-shift
+*> QR sweep.
+*> \endverbatim
+*> \verbatim
+*> ISPEC=15: (NSHFTS) The number of simultaneous shifts in
+*> a multi-shift QR iteration.
+*> \endverbatim
+*> \verbatim
+*> ISPEC=16: (IACC22) IPARMQ is set to 0, 1 or 2 with the
+*> following meanings.
+*> 0: During the multi-shift QR sweep,
+*> xLAQR5 does not accumulate reflections and
+*> does not use matrix-matrix multiply to
+*> update the far-from-diagonal matrix
+*> entries.
+*> 1: During the multi-shift QR sweep,
+*> xLAQR5 and/or xLAQRaccumulates reflections and uses
+*> matrix-matrix multiply to update the
+*> far-from-diagonal matrix entries.
+*> 2: During the multi-shift QR sweep.
+*> xLAQR5 accumulates reflections and takes
+*> advantage of 2-by-2 block structure during
+*> matrix-matrix multiplies.
+*> (If xTRMM is slower than xGEMM, then
+*> IPARMQ(ISPEC=16)=1 may be more efficient than
+*> IPARMQ(ISPEC=16)=2 despite the greater level of
+*> arithmetic work implied by the latter choice.)
+*> \endverbatim
+*>
+*> \param[in] NAME
+*> \verbatim
+*> NAME is character string
+*> Name of the calling subroutine
+*> \endverbatim
+*>
+*> \param[in] OPTS
+*> \verbatim
+*> OPTS is character string
+*> This is a concatenation of the string arguments to
+*> TTQRE.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is integer scalar
+*> N is the order of the Hessenberg matrix H.
+*> \endverbatim
+*>
+*> \param[in] ILO
+*> \verbatim
+*> ILO is INTEGER
+*> \endverbatim
+*>
+*> \param[in] IHI
+*> \verbatim
+*> IHI is INTEGER
+*> It is assumed that H is already upper triangular
+*> in rows and columns 1:ILO-1 and IHI+1:N.
+*> \endverbatim
+*>
+*> \param[in] LWORK
+*> \verbatim
+*> LWORK is integer scalar
+*> The amount of workspace available.
+*> \endverbatim
+*>
+*
+* Authors
+* =======
*
-* IPARMQ(ISPEC=15) Number of simultaneous shifts, NS.
-* a multi-shift QR iteration.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-* If IHI-ILO+1 is ...
+*> \date November 2011
*
-* greater than ...but less ... the
-* or equal to ... than default is
+*> \ingroup auxOTHERauxiliary
*
-* 0 30 NS = 2+
-* 30 60 NS = 4+
-* 60 150 NS = 10
-* 150 590 NS = **
-* 590 3000 NS = 64
-* 3000 6000 NS = 128
-* 6000 infinity NS = 256
*
-* (+) By default matrices of this order are
-* passed to the implicit double shift routine
-* xLAHQR. See IPARMQ(ISPEC=12) above. These
-* values of NS are used only in case of a rare
-* xLAHQR failure.
+* Further Details
+* ===============
+*>\details \b Further \b Details
+*> \verbatim
+*>
+*> Little is known about how best to choose these parameters.
+*> It is possible to use different values of the parameters
+*> for each of CHSEQR, DHSEQR, SHSEQR and ZHSEQR.
+*>
+*> It is probably best to choose different parameters for
+*> different matrices and different parameters at different
+*> times during the iteration, but this has not been
+*> implemented --- yet.
+*>
+*>
+*> The best choices of most of the parameters depend
+*> in an ill-understood way on the relative execution
+*> rate of xLAQR3 and xLAQR5 and on the nature of each
+*> particular eigenvalue problem. Experiment may be the
+*> only practical way to determine which choices are most
+*> effective.
+*>
+*> Following is a list of default values supplied by IPARMQ.
+*> These defaults may be adjusted in order to attain better
+*> performance in any particular computational environment.
+*>
+*> IPARMQ(ISPEC=12) The xLAHQR vs xLAQR0 crossover point.
+*> Default: 75. (Must be at least 11.)
+*>
+*> IPARMQ(ISPEC=13) Recommended deflation window size.
+*> This depends on ILO, IHI and NS, the
+*> number of simultaneous shifts returned
+*> by IPARMQ(ISPEC=15). The default for
+*> (IHI-ILO+1).LE.500 is NS. The default
+*> for (IHI-ILO+1).GT.500 is 3*NS/2.
+*>
+*> IPARMQ(ISPEC=14) Nibble crossover point. Default: 14.
+*>
+*> IPARMQ(ISPEC=15) Number of simultaneous shifts, NS.
+*> a multi-shift QR iteration.
+*>
+*> If IHI-ILO+1 is ...
+*>
+*> greater than ...but less ... the
+*> or equal to ... than default is
+*>
+*> 0 30 NS = 2+
+*> 30 60 NS = 4+
+*> 60 150 NS = 10
+*> 150 590 NS = **
+*> 590 3000 NS = 64
+*> 3000 6000 NS = 128
+*> 6000 infinity NS = 256
+*>
+*> (+) By default matrices of this order are
+*> passed to the implicit double shift routine
+*> xLAHQR. See IPARMQ(ISPEC=12) above. These
+*> values of NS are used only in case of a rare
+*> xLAHQR failure.
+*>
+*> (**) The asterisks (**) indicate an ad-hoc
+*> function increasing from 10 to 64.
+*>
+*> IPARMQ(ISPEC=16) Select structured matrix multiply.
+*> (See ISPEC=16 above for details.)
+*> Default: 3.
+*>
+*> \endverbatim
+*>
+* =====================================================================
+ INTEGER FUNCTION IPARMQ( ISPEC, NAME, OPTS, N, ILO, IHI, LWORK )
*
-* (**) The asterisks (**) indicate an ad-hoc
-* function increasing from 10 to 64.
+* -- LAPACK auxiliary routine (version 3.2) --
+* -- LAPACK is a software package provided by Univ. of Tennessee, --
+* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+* November 2011
*
-* IPARMQ(ISPEC=16) Select structured matrix multiply.
-* (See ISPEC=16 above for details.)
-* Default: 3.
+* .. Scalar Arguments ..
+ INTEGER IHI, ILO, ISPEC, LWORK, N
+ CHARACTER NAME*( * ), OPTS*( * )
*
* ================================================================
* .. Parameters ..