重心有理插值新方法

A new method of barycentric rational interpolation

基于Neville算法,构造建立在重心有理插值基础上的新的复合有理函数插值格式,通过合理选择插值权,可以避免极点与不可达点的存在,新方法不但继承了传统重心有理插值的优点,而且比重心有理插值具有更好的逼近效果.

Based on the Neville algorithm, a new complex rational function interpolation format based on barycentric interpolation is constructed. By choosing interpolation weights reasonably, the poles and unreachable points can be avoided. The new method not only inherits the advantages of traditional barycentric rational interpolation, but also has a better approximation effect than barycentric rational interpolation.