定义于椭球面上的多元Lagrange插值问题研究
Multivariate Lagrange Interpolation Defined on Ellipsoidal Surface
DOI: 10.12677/AAM.2017.64052, PDF, HTML, XML,  被引量 下载: 1,626  浏览: 4,977  科研立项经费支持
作者: 惠婷婷, 刘海波, 崔利宏：辽宁师范大学，辽宁 大连
关键词: 椭球面；多元Lagrange插值；正则结点组；迭加插值法；Ellipsoid； Multivariate Lagrange Interpolation； Regular Set of Nodes； Superposition Interpolation Method
摘要: 针对在实际科研生产中经常涉及到的有关定义于椭球面上的多元Lagrange插值问题进行了研究。提出了定义于椭球面上的多元Lagrange插值定义，给出了判定椭球面上的结点组是否构成插值正则结点组的判定定理以及迭加构造方法，最后通过算例对所得方法进行了实现。
Abstract: The multivariate Lagrange interpolation problem, which is usually defined on the ellipsoid, is often studied in practical scientific research and production. Multivariate Lagrange interpolation is proposed to define the definition of ellipsoid and given to determine whether the node group on an ellipsoid form judgment theorem and superposition method to construct interpolation regular set of nodes and finally is to implement the method. 
文章引用：惠婷婷, 刘海波, 崔利宏. 定义于椭球面上的多元Lagrange插值问题研究[J]. 应用数学进展, 2017, 6(4): 442-447. https://doi.org/10.12677/AAM.2017.64052

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