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RCS file: /home/cvs/OpenXM/src/hgm/doc/ref-hgm.html,v
retrieving revision 1.9
retrieving revision 1.12
diff -u -p -r1.9 -r1.12
--- OpenXM/src/hgm/doc/ref-hgm.html	2014/05/15 07:34:05	1.9
+++ OpenXM/src/hgm/doc/ref-hgm.html	2016/02/05 01:58:34	1.12
@@ -12,6 +12,14 @@ the Holonomic Gradient Descent Method  (HGD) </h1>
 
 <h2> Papers  and Tutorials</h2>
 <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,
 Estimation of exponential-polynomial distribution by holonomic gradient descent
 <a href="http://arxiv.org/abs/1403.7852"> arxiv:1403.7852</a>
@@ -51,7 +59,8 @@ Calculation of Orthant Probabilities by the Holonomic 
 <li>T. Koyama, H. Nakayama, K. Nishiyama, N. Takayama,
 Holonomic Rank of the Fisher-Bingham System of Differential Equations,
 <!-- <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>
 T. Koyama, H. Nakayama, K. Nishiyama, N. Takayama,
@@ -74,8 +83,8 @@ Journal of Multivariate Analysis, 116 (2013), 440--455
 
 <li>T.Koyama, A Holonomic Ideal which Annihilates the Fisher-Bingham Integral,
 Funkcialaj Ekvacioj 56 (2013), 51--61.
-<!-- <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="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> -->
 
 <li>
 Hiromasa Nakayama, Kenta Nishiyama, Masayuki Noro, Katsuyoshi Ohara,
@@ -88,14 +97,14 @@ Advances in Applied Mathematics 47 (2011), 639--658,
 
 <h2> Three Steps of HGM </h2>
 <ol>
-<li> Find a holonomic system satisfied by the normalizing constant.
+<li> Finding a holonomic system satisfied by the normalizing constant.
 We may use computational or theoretical methods to find it.
 Groebner basis and related methods are used.
-<li> Find an initial value vector for the holonomic system.
+<li> Finding an initial value vector for the holonomic system.
 This is equivalent to evaluating the normalizing constant and its derivatives
 at a point.
 This step is usually performed by a series expansion.
-<li> Solve the holonomic system numerically. We use several methods
+<li> Solving the holonomic system numerically. We use several methods
 in numerical analysis such as the Runge-Kutta method of solving
 ordinary differential equations and efficient solvers of systems of linear
 equations.
@@ -109,22 +118,32 @@ of the
 <a href="http://www.math.kobe-u.ac.jp/OpenXM/Current/doc/index-doc.html">
 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 page below,
 or look up our <a href="http://www.math.sci.kobe-u.ac.jp/cgi/cvsweb.cgi/">
 cvsweb page</a>.
 <ol>
 <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">
 OpenXM distribution page </a>.
-<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), 
-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>.
-<li> nk_fb_gen_c is a package to generate a C program to perform 
+<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 
+for the computer algebra system 
+<a href="http://www.math.kobe-u.ac.jp/Asir"> Risa/Asir</a>.
+They are in the asir-contrib collection.
+<ul>
+<li> yang.rr (for Pfaffian systems) , 
+nk_restriction.rr (for D-module integrations), 
+tk_jack.rr  (for Jack polynomials), 
+ko_fb_pfaffian.rr (Pfaffian system for the Fisher-Bingham system),
+are for the steps 1 or 2.
+<li> nk_fb_gen_c.rr 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>.
+<li> ot_hgm_ahg.rr (HGM for A-distributions, very experimental).
+</ul>
 </ol>
 
 <h2> Programs to try examples of our papers </h2>
@@ -132,6 +151,6 @@ 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>
 </ol>
 
-<pre> $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.8 2014/04/03 07:34:31 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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