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The Efficient Evaluation of the Hypergeometric Function of a Matrix Argument

概率论 2007-05-23 v1 数值分析

摘要

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.

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引用

@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}
}

备注

14 pages, 3 figures