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Line 12  the Holonomic Gradient Descent Method  (HGD) </h1>
Line 12  the Holonomic Gradient Descent Method  (HGD) </h1>
   
 <h2> Papers  and Tutorials</h2>  <h2> Papers  and Tutorials</h2>
 <ol>  <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,  <li> T.Koyama,
 Holonomic Modules Associated with Multivariate Normal Probabilities of Polyhedra,  Holonomic Modules Associated with Multivariate Normal Probabilities of Polyhedra,
 <a href="http://arxiv.org/abs/1311.6905"> arxiv:1311.6905 </a>  <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"  "Experimental Functions in Asir", or "miscellaneous and other documents"
 of the  of the
 <a href="http://www.math.kobe-u.ac.jp/OpenXM/Current/doc/index-doc.html">  <a href="http://www.math.kobe-u.ac.jp/OpenXM/Current/doc/index-doc.html">
 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,  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/">  or look up our <a href="http://www.math.sci.kobe-u.ac.jp/cgi/cvsweb.cgi/">
 cvsweb page </a>  cvsweb page</a>.
 <ol>  <ol>
 <li> <a href="http://www.math.kobe-u.ac.jp/OpenXM/Math/hgm/"> hgm package for R </a> for the step 3.  <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),  <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)  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  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  <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  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>  </ol>
   
 <h2> Programs to try examples of our papers </h2>  <h2> Programs to try examples of our papers </h2>
Line 120  It is in the 
Line 129  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>  <li> <a href="http://www.math.kobe-u.ac.jp/OpenXM/Math/Fisher-Bingham-2"> d-dimensional Fisher-Bingham System </a>
 </ol>  </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 1.7 2014/03/31 07:23:09 takayama Exp $ </pre>
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