Newton basis for multivariate Birkhoff interpolation

被引：8

作者：

Wang, Xiaoying ^{[1
]}

Zhang, Shugong ^{[1
]}

Dong, Tian ^{[1
]}

机构：

[1] Jilin Univ, Sch Math, Minist Educ, Key Lab Symbol Computat & Knowledge Engn, Changchun 130012, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 228卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Multivariate Birkhoff interpolation; Hermite system; Connected interpolation; Connected Closure; POLYNOMIAL INTERPOLATION; VARIABLES;

D O I：

10.1016/j.cam.2008.10.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Multivariate Birkhoff interpolation is the most complex polynomial interpolation problem and people know little about it so far. In this paper, we introduce a special new type of multivariate Birkhoff interpolation and present a Newton paradigm for it. Using the algorithms proposed in this paper, we can construct a Hermite system for any interpolation problem of this type and then obtain a Newton basis for the problem w.r.t. the Hermite system. (c) 2008 Elsevier B.V. All rights reserved.

引用

页码：466 / 479

页数：14

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