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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> 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 36  Calculating the Normalising Constant of the Bingham Di
Line 36  Calculating the Normalising Constant of the Bingham Di
 Statistics and Computing, 2013,  Statistics and Computing, 2013,
 <a href="http://dx.doi.org/10.1007/s11222-013-9434-0">DOI</a>  <a href="http://dx.doi.org/10.1007/s11222-013-9434-0">DOI</a>
   
 <li> T.Koyama,  <li> T.Koyama, A.Takemura,
 Calculation of Orthant Probabilities by the Holonomic Gradient Method,  Calculation of Orthant Probabilities by the Holonomic Gradient Method,
 <a href="http://arxiv.org/abs/1211.6822"> arxiv:1211.6822</a>  <a href="http://arxiv.org/abs/1211.6822"> arxiv:1211.6822</a>
   
Line 94  equations.
Line 94  equations.
 </ol>  </ol>
   
 <h2> Software Packages for HGM</h2>  <h2> Software Packages for HGM</h2>
   Most software packages are experimental and temporary documents are found in
   "asir-contrib manual" (auto-autogenerated part), or
   "Experimental Functions in Asir", or "miscellaneous and other documents"
   of the
   <a href="http://www.math.kobe-u.ac.jp/OpenXM/Current/doc/index-doc.html">
   OpenXM documents</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>
 <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) are for the steps 1 or 2 and in the  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)
   It is in the
   <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 106  tk_jack  (for Jack polynomials) are for the steps 1 or
Line 120  tk_jack  (for Jack polynomials) are for the steps 1 or
 <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 1.1 2014/03/24 06:43:55 takayama Exp $ </pre>  <pre> $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.5 2014/03/26 05:02:18 takayama Exp $ </pre>
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