摘要
在重心有理插值、Newton多项式插值、Thiele型连分式插值的基础上,构造三元BarycentricNewton-Thiele型混合有理插值.通过定义逆差商给出插值定理,并且讨论其具有的特性,数值例子验证了算法的正确性和有效性.
In this paper,based on Thiele type continued fraction interpolation,Newton interpolation polynomial and barycentric rational interpolation,we construct Triple Barycentric-Newton-Thiele type blending rational interpolation. We give the interpolation theorem through the discussion of the definition of inverse differences,and discuss its characteristics. Numerical examples are presented to verify the correctness and validity of this method.
出处
《平顶山学院学报》
2016年第2期21-25,共5页
Journal of Pingdingshan University
关键词
Thiele型连分式插值
重心有理插值
混合有理插值
逆差商
Thiele-type continued fraction interpolation
barycentric rational interpolation
blending rational interpolation
partial reciprocal difference
