English

The Efficient Evaluation of the Hypergeometric Function of a Matrix Argument

Probability 2007-05-23 v1 Numerical Analysis

Abstract

We present new algorithms that efficiently approximate the hypergeometric function of a matrix argument through its expansion as a series of Jack functions. Our algorithms exploit the combinatorial properties of the Jack function, and have complexity that is only linear in the size of the matrix.

Keywords

Cite

@article{arxiv.math/0505344,
  title  = {The Efficient Evaluation of the Hypergeometric Function of a Matrix Argument},
  author = {Plamen Koev and Alan Edelman},
  journal= {arXiv preprint arXiv:math/0505344},
  year   = {2007}
}

Comments

14 pages, 3 figures