Fitzpatrick Algorithm for Multivariate Rational Interpolation

Published 16 Mar 2011 in math.NA | (1103.3176v1)

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.

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