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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> Y.Goto, K.Matsumoto,
   Pfaffian equations and contiguity relations of the hypergeometric function of type (k+1,k+n+2) and their applications,
   <a href="http://arxiv.org/abs/1602.01637"> arxiv:1602.01637
   
   <li>N.Marumo, T.Oaku, A.Takemura,
   Properties of powers of functions satisfying second-order linear differential equations with applications to statistics,
   <a href="http://arxiv.org/abs/1405.4451"> arxiv:1405.4451</a>
   
 <li> J.Hayakawa, A.Takemura,  <li> J.Hayakawa, A.Takemura,
 Estimation of exponential-polynomial distribution by holonomic gradient descent  Estimation of exponential-polynomial distribution by holonomic gradient descent
 <a href="http://arxiv.org/abs/1403.7852"> arxiv:1403.7852</a>  <a href="http://arxiv.org/abs/1403.7852"> arxiv:1403.7852</a>
Line 51  Calculation of Orthant Probabilities by the Holonomic 
Line 59  Calculation of Orthant Probabilities by the Holonomic 
 <li>T. Koyama, H. Nakayama, K. Nishiyama, N. Takayama,  <li>T. Koyama, H. Nakayama, K. Nishiyama, N. Takayama,
 Holonomic Rank of the Fisher-Bingham System of Differential Equations,  Holonomic Rank of the Fisher-Bingham System of Differential Equations,
 <!-- <a href="http://arxiv.org/abs/1205.6144"> arxiv:1205.6144 </a>-->  <!-- <a href="http://arxiv.org/abs/1205.6144"> arxiv:1205.6144 </a>-->
 to appear in Journal of Pure and Applied Algebra  Journal of Pure and Applied Algebra  (online),
   <a href="http://dx.doi.org/10.1016/j.jpaa.2014.03.004"> DOI </a>
   
 <li>  <li>
 T. Koyama, H. Nakayama, K. Nishiyama, N. Takayama,  T. Koyama, H. Nakayama, K. Nishiyama, N. Takayama,
Line 74  Journal of Multivariate Analysis, 116 (2013), 440--455
Line 83  Journal of Multivariate Analysis, 116 (2013), 440--455
   
 <li>T.Koyama, A Holonomic Ideal which Annihilates the Fisher-Bingham Integral,  <li>T.Koyama, A Holonomic Ideal which Annihilates the Fisher-Bingham Integral,
 Funkcialaj Ekvacioj 56 (2013), 51--61.  Funkcialaj Ekvacioj 56 (2013), 51--61.
 <!-- <a href="http://dx.doi.org/10.1619/fesi.56.51">DOI</a> -->  <a href="http://dx.doi.org/10.1619/fesi.56.51">DOI</a>
 <a href="https://www.jstage.jst.go.jp/article/fesi/56/1/56_51/_article">jstage</a>  <!-- <a href="https://www.jstage.jst.go.jp/article/fesi/56/1/56_51/_article">jstage</a> -->
   
 <li>  <li>
 Hiromasa Nakayama, Kenta Nishiyama, Masayuki Noro, Katsuyoshi Ohara,  Hiromasa Nakayama, Kenta Nishiyama, Masayuki Noro, Katsuyoshi Ohara,
Line 116  cvsweb page</a>.
Line 125  cvsweb page</a>.
 <li> Command line interfaces are in the folder OpenXM/src/hgm  <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">  in the OpenXM source tree. See <a href="http://www.math.kobe-u.ac.jp/OpenXM">
 OpenXM distribution page </a>.  OpenXM distribution page </a>.
 <li> <a href="http://www.math.kobe-u.ac.jp/OpenXM/Math/hgm/"> hgm package for R </a> (hgm_*tar.gz, hgm-manual.pdf) for the step 3.  <li> <a href="http://www.math.kobe-u.ac.jp/OpenXM/Math/hgm/"> hgm package for R </a> (hgm_*tar.gz, hgm-manual.pdf) for the step 3.
   To install this package in R, type in
   <pre>
   R CMD install hgm_*.tar.gz
   </pre>
 <li> The following packages are  <li> The following packages are
 for the computer algebra system  for the computer algebra system
 <a href="http://www.math.kobe-u.ac.jp/Asir"> Risa/Asir</a>.  <a href="http://www.math.kobe-u.ac.jp/Asir"> Risa/Asir</a>.
Line 138  maximal Likehood estimates for the Fisher-Bingham dist
Line 151  maximal Likehood estimates for the Fisher-Bingham dist
 <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 1.9 2014/05/15 07:34:05 takayama Exp $ </pre>  <pre> $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.11 2014/05/20 02:12:18 takayama Exp $ </pre>
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