摘要
基于Neville算法构造二元Neville型重心有理插值,首先把整个插值点集划分为若干子集,在子集上构造二元重心有理插值,通过Neville算法构造二元插值函数,不断重复上述过程,最终获得整个插值点集的插值函数。通过合理选择插值权,二元Neville型重心有理插值可以避免极点与不可达点的存在。
The binary Neville type barycentric rational interpolation is constructed based on the Neville algorithm.Firstly,the whole set of interpolation points is divided into several subsets,and the binary barycentric rational interpolation is constructed on the subsets.Then,the Neville algorithm is used to construct the binary interpolation function,and the above process is repeated continuously to obtain the interpolation function of the whole set of interpolation points.The existence of poles and unreachable points can be avoided by rational selection of interpolation weights for binary Neville type barycentric rational interpolation.
作者
张玉武
彭杰
ZHANG Yuwu;PENG Jie(Department of Basic Education,Lu’an Vocational Technology College,Lu’an 237158,China;School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China)
出处
《南阳师范学院学报》
CAS
2023年第4期27-31,53,共6页
Journal of Nanyang Normal University
基金
国家自然科学基金项目(60973050)
安徽省高校优秀拔尖人才培育资助项目(gxgnfx2021196、gxgnfx2021194)
安徽省职业与成人教育学会教学研究重点项目(AGZ18015)。
关键词
二元重心有理插值
Neville算法
逼近
the bivariate barycentric rational interpolation
Neville algorithm
approach
