English

Pfaffian Systems of A-Hypergeometric Systems II --- Holonomic Gradient Method

Symbolic Computation 2015-05-13 v1 Classical Analysis and ODEs

Abstract

We give two efficient methods to derive Pfaffian systems for A-hypergeometric systems for the application to the holonomic gradient method for statistics. We utilize the Hilbert driven Buchberger algorithm and Macaulay type matrices in the two methods.

Cite

@article{arxiv.1505.02947,
  title  = {Pfaffian Systems of A-Hypergeometric Systems II --- Holonomic Gradient Method},
  author = {Katsuyoshi Ohara and Nobuki Takayama},
  journal= {arXiv preprint arXiv:1505.02947},
  year   = {2015}
}
R2 v1 2026-06-22T09:32:34.124Z