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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> H.Hashiguchi, N.Takayama, A.Takemura,
   Distribution of Ratio of two Wishart Matrices and Evaluation of Cumulative Probability
   by Holonomic Gradient Method,
   <a href="https://arxiv.org/abs/1610.09187"> arxiv:1610.09187 </a>
   
   <li> R.Vidunas, A.Takemura,
   Differential relations for the largest root distribution
   of complex non-central Wishart matrices,
   <a href="http://arxiv.org/abs/1609.01799"> arxiv:1609.01799 </a>
   
   <li> S.Mano,
   The A-hypergeometric System Associated with the Rational Normal Curve and
   Exchangeable Structures,
   <a href="http://arxiv.org/abs/1607.03569"> arxiv:1607.03569 </a>
   
   <li> M.Noro,
   System of Partial Differential Equations for the Hypergeometric Function 1F1 of a Matrix Argument on Diagonal Regions,
   <a href="http://dl.acm.org/citation.cfm?doid=2930889.2930905"> ACM DL </a>
   
 <li> Y.Goto, K.Matsumoto,  <li> Y.Goto, K.Matsumoto,
 Pfaffian equations and contiguity relations of the hypergeometric function of type (k+1,k+n+2) and their applications,  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 </a>  <a href="http://arxiv.org/abs/1602.01637"> arxiv:1602.01637 </a>
Line 31  A-Hpergeometric Distributions and Newton Polytopes,
Line 50  A-Hpergeometric Distributions and Newton Polytopes,
 Normalizing Kernels in the Billera-Holmes-Vogtmann Treespace,  Normalizing Kernels in the Billera-Holmes-Vogtmann Treespace,
 <a href="http://arxiv.org/abs/1506.00142"> arxiv:1506.00142 </a>  <a href="http://arxiv.org/abs/1506.00142"> arxiv:1506.00142 </a>
   
   <li> C.Siriteanu, A.Takemura, C.Koutschan, S.Kuriki, D.St.P.Richards, H.Sin,
   Exact ZF Analysis and Computer-Algebra-Aided Evaluation
   in Rank-1 LoS Rician Fading,
   <a href="http://arxiv.org/abs/1507.07056"> arxiv:1507.07056 </a>
   
 <li> K.Ohara, N.Takayama,  <li> K.Ohara, N.Takayama,
 Pfaffian Systems of A-Hypergeometric Systems II ---  Pfaffian Systems of A-Hypergeometric Systems II ---
 Holonomic Gradient Method,  Holonomic Gradient Method,
Line 81  Holonomic Modules Associated with Multivariate Normal 
Line 105  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 170  equations.
Line 196  equations.
   
 <ul>  <ul>
 <li>  <li>
 CRAN package <a href="https//cran.r-project.org/web/packages/hgm/index.html"> hgm </a> (for R).  CRAN package <a href="https://cran.r-project.org/web/packages/hgm/index.html"> hgm </a> (for R).
   
 <li>  <li>
 Some software packages are experimental and temporary documents are found in  Some software packages are experimental and temporary documents are found in
Line 215  maximal Likehood estimates for the Fisher-Bingham dist
Line 241  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 1.14 2016/02/07 05:18:20 takayama Exp $ </pre>  <pre> $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.21 2016/11/03 23:05:22 takayama Exp $ </pre>
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