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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> F.H.Danufane, K.Ohara, N.Takayama,
   Holonomic Gradient Method for the Distribution Function of the Largest Root of Complex Non-central Wishart Matrices,
   <a href="https://arxiv.org/abs/1707.02564"> arxiv:1707.02564 </a>
   <li> T.Koyama,
   An integral formula for the powered sum of the independent, identically and normally distributed random variables,
   <a href="https://arxiv.org/abs/1706.03989"> arxiv:1706.03989 </a>
 <li> H.Hashiguchi, N.Takayama, A.Takemura,  <li> H.Hashiguchi, N.Takayama, A.Takemura,
 Distribution of Ratio of two Wishart Matrices and Evaluation of Cumulative Probability  Distribution of Ratio of two Wishart Matrices and Evaluation of Cumulative Probability
 by Holonomic Gradient Method,  by Holonomic Gradient Method,
Line 105  Holonomic Modules Associated with Multivariate Normal 
Line 111  Holonomic Modules Associated with Multivariate Normal 
 Pfaffian Systems of A-Hypergeometric Equations I,  Pfaffian Systems of A-Hypergeometric Equations I,
 Bases of Twisted Cohomology Groups,  Bases of Twisted Cohomology Groups,
 <a href="http://arxiv.org/abs/1212.6103"> arxiv:1212.6103 </a>  <a href="http://arxiv.org/abs/1212.6103"> arxiv:1212.6103 </a>
 (major revision v2 of arxiv:1212.6103)  (major revision v2 of arxiv:1212.6103).
   Accepted version is at
   <a href="http://dx.doi.org/10.1016/j.aim.2016.10.021"> DOI </a>
   
 <li> <img src="./wakaba01.png" alt="Intro">  <li> <img src="./wakaba01.png" alt="Intro">
 <a href="http://link.springer.com/book/10.1007/978-4-431-54574-3">  <a href="http://link.springer.com/book/10.1007/978-4-431-54574-3">
Line 239  maximal Likehood estimates for the Fisher-Bingham dist
Line 247  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 1.20 2016/09/22 02:51:13 takayama Exp $ </pre>  <pre> $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.22 2016/11/03 23:19:18 takayama Exp $ </pre>
 </body>  </body>
 </html>  </html>
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