Fitzpatrick Algorithm for Multivariate Rational Interpolation

Mathematics – Numerical Analysis

Scientific paper

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Scientific paper

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.

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