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Line 12 the Holonomic Gradient Descent Method (HGD) </h1>

<h2> Papers and Tutorials</h2>

<ol>

<li> J.Hayakawa, A.Takemura,

Estimation of exponential-polynomial distribution by holonomic gradient descent

<a href="http://arxiv.org/abs/1403.7852"> arxiv:1403.7852</a>

<li> C.Siriteanu, A.Takemura, S.Kuriki,

MIMO Zero-Forcing Detection Performance Evaluation by Holonomic Gradient Method

<a href="http://arxiv.org/abs/1403.3788"> arxiv:1403.3788</a>

<li> T.Koyama,

Holonomic Modules Associated with Multivariate Normal Probabilities of Polyhedra,

<a href="http://arxiv.org/abs/1311.6905"> arxiv:1311.6905 </a>

Line 99 Most software packages are experimental and temporary

Line 107 Most software packages are experimental and temporary

"Experimental Functions in Asir", or "miscellaneous and other documents"

of the

OpenXM documents</a>.

OpenXM documents</a>

or in <a href="./"> this folder</a>.

The nightly snapshot of the asir-contrib can be found in the Asir-Contrib page below,

or look up our <a href="http://www.math.sci.kobe-u.ac.jp/cgi/cvsweb.cgi/">

cvsweb page </a>

cvsweb page</a>.

<ol>

<li> Command line interfaces are in the folder OpenXM/src/hgm

in the OpenXM source tree. See <a href="http://www.math.kobe-u.ac.jp/OpenXM">

OpenXM distribution page </a>.

<li> <a href="http://www.math.kobe-u.ac.jp/OpenXM/Math/hgm/"> hgm package for R </a> for the step 3.

<li> yang (for Pfaffian systems) , nk_restriction (for D-module integrations),

tk_jack (for Jack polynomials), ko_fb_pfaffian (Pfaffian system for the Fisher-Bingham system)

are for the steps 1 or 2 and in the

<a href="http://www.math.kobe-u.ac.jp/Asir"> asir-contrib </a>

<a href="http://www.math.kobe-u.ac.jp/Asir"> asir-contrib</a>.

<li> nk_fb_gen_c is a package to generate a C program to perform

maximal Likehood estimates for the Fisher-Bingham distribution by HGD (holonomic gradient descent)

maximal Likehood estimates for the Fisher-Bingham distribution by HGD (holonomic gradient descent).

It is in the

<a href="http://www.math.kobe-u.ac.jp/Asir"> asir-contrib </a>

<a href="http://www.math.kobe-u.ac.jp/Asir"> asir-contrib</a>.

</ol>

<h2> Programs to try examples of our papers </h2>

Line 120 It is in the

Line 132 It is in the

<li> <a href="http://www.math.kobe-u.ac.jp/OpenXM/Math/Fisher-Bingham-2"> d-dimensional Fisher-Bingham System </a>

</ol>

<pre> $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.5 2014/03/26 05:02:18 takayama Exp $ </pre>

<pre> $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.8 2014/04/03 07:34:31 takayama Exp $ </pre>

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