The Efficient Evaluation of the Hypergeometric Function of a Matrix Argument

Details The Efficient Evaluation of the Hypergeometric Function of a Matrix Argument The Efficient Evaluation of the Hypergeometric Function of a Matrix Argument

2005-05-16

arxiv.org/abs/math/0505344v1

Mathematics

Probability

14 pages, 3 figures

Scientific paper

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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