Fitzpatrick Algorithm for Multivariate Rational Interpolation
Numerical Analysis
2011-03-17 v1
Abstract
In this paper, we first apply the Fitzpatrick algorithm to osculatory rational interpolation. Then based on Fitzpatrick algorithm, we present a Neville-like algorithm for Cauchy interpolation. With this algorithm, we can determine the value of the interpolating function at a single point without computing the rational interpolating function.
Cite
@article{arxiv.1103.3176,
title = {Fitzpatrick Algorithm for Multivariate Rational Interpolation},
author = {Peng Xia and Shugong Zhang and Na Lei},
journal= {arXiv preprint arXiv:1103.3176},
year = {2011}
}