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TitleThe Neville-like form of the Fitzpatrick algorithm for rational interpolation.
Author(s) Landy Rabehasaina, Peng Xia, Shugong Zhang
TypeArticle in Journal
AbstractThe Fitzpatrick algorithm, which seeks a Gröbner basis for the solution of a system of polynomial congruences, can be applied to compute a rational interpolant. Based on the Fitzpatrick algorithm and the properties of an Hermite interpolation basis, we present a Neville-like algorithm for multivariate osculatory rational interpolation. It may be used to compute the values of osculatory rational interpolants at some points directly without computing the rational interpolation function explicitly.
KeywordsRational interpolation, Fitzpatrick algorithm, Neville-like algorithm ,Gröbner basis, Module
ISSN1017-1398; 1572-9265/e
URL http://link.springer.com/article/10.1007%2Fs11075-011-9532-z
LanguageEnglish
JournalNumer. Algorithms
Volume61
Number1
Pages105--120
PublisherSpringer US, New York, NY
Year2012
Edition0
Translation No
Refereed No
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