A Fitzpatrick algorithm for multivariate rational interpolation

被引：3
|
作者：
Xia, Peng [1 ]
Zhang, Shugong [1 ]
Lei, Na [1 ]
机构：
[1] Jilin Univ, Minist Educ, Key Lab Symbol Computat & Knowledge Engn, Sch Math, Changchun 130012, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 17期
关键词：
Fitzpatrick algorithm; Rational interpolation; Grobner basis; Neville-like algorithm; CONTINUED FRACTIONS;
D O I：
10.1016/j.cam.2011.05.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first apply the Fitzpatrick algorithm to osculatory rational interpolation. Then based on a 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. (c) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：5222 / 5231
页数：10
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