A Fitzpatrick algorithm for multivariate rational interpolation

作者：Xia Peng; Zhang Shugong^*; Lei Na

来源：Journal of Computational and Applied Mathematics, 2011, 235(17): 5222-5231.

DOI：10.1016/j.cam.2011.05.012

• Fitzpatrick algorithm
• Rational interpolation
• Grobner basis
• Neville-like algorithm

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.

• 出版日期2011-7-1
• 单位吉林大学