Details:
Title  The Nevillelike form of the Fitzpatrick algorithm for rational interpolation.  Author(s)  Landy Rabehasaina, Peng Xia, Shugong Zhang  Type  Article in Journal  Abstract  The 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 Nevillelike 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.  Keywords  Rational interpolation, Fitzpatrick algorithm, Nevillelike algorithm ,Gröbner basis, Module  ISSN  10171398; 15729265/e 
URL 
http://link.springer.com/article/10.1007%2Fs110750119532z 
Language  English  Journal  Numer. Algorithms  Volume  61  Number  1  Pages  105120  Publisher  Springer US, New York, NY  Year  2012  Edition  0  Translation 
No  Refereed 
No 
