=================================================================== RCS file: /home/cvs/OpenXM/src/hgm/doc/ref-hgm.html,v retrieving revision 1.9 retrieving revision 1.10 diff -u -p -r1.9 -r1.10 --- OpenXM/src/hgm/doc/ref-hgm.html 2014/05/15 07:34:05 1.9 +++ OpenXM/src/hgm/doc/ref-hgm.html 2014/05/16 11:30:31 1.10 @@ -88,14 +88,14 @@ Advances in Applied Mathematics 47 (2011), 639--658,

Three Steps of HGM

    -
  1. Find a holonomic system satisfied by the normalizing constant. +
  2. 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. -
  3. Find an initial value vector for the holonomic system. +
  4. 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. -
  5. Solve the holonomic system numerically. We use several methods +
  6. 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 +109,28 @@ of the OpenXM documents or in this folder. -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 cvsweb page.
    1. Command line interfaces are in the folder OpenXM/src/hgm in the OpenXM source tree. See OpenXM distribution page . -
    2. hgm package for R for the step 3. -
    3. 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 - asir-contrib. -
    4. nk_fb_gen_c is a package to generate a C program to perform +
    5. hgm package for R (hgm_*tar.gz, hgm-manual.pdf) for the step 3. +
    6. The following packages are +for the computer algebra system + Risa/Asir. +They are in the asir-contrib collection. +
        +
      • 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. +
      • 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 - asir-contrib. +
      • ot_hgm_ahg.rr (HGM for A-distributions, very experimental). +

    Programs to try examples of our papers

    @@ -132,6 +138,6 @@ It is in the
  7. d-dimensional Fisher-Bingham System
-
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