多元不缺项插值基的存在条件及构造算法

多元不缺项插值基的存在条件及构造算法

李鹏, 董天

吉林大学数学学院, 长春 130012

收稿日期:2006-09-01 修回日期:1900-01-01 出版日期:2006-09-26 发布日期:2006-09-26
通讯作者: 董天

Existence Conditions and Related Algorithm for Multivariate Nonlacunary Interpolation Basis

LI Peng, DONG Tian

College of Mathematics, Jilin University, Changchun 130012, China

Received:2006-09-01 Revised:1900-01-01 Online:2006-09-26 Published:2006-09-26
Contact: DONG Tian

摘要/Abstract

摘要： 运用构造性代数几何方法, 研究由Rⁿ中一组给定节点的信息构造节点子集上的不缺项插值基, 给出了不缺项插值基的存在条件及相应算法.

关键词: 多元Lagrange插值, 不缺项插值基, 完全插值基

Abstract: Constructive algebraic geometry methods were used to discuss the construction of nonlacunary interpolation basis on a subset of a given set of nodes in Rⁿ. We presented the existence conditions theoretically and related algorithm.

Key words: multivariate Lagrange i nterpolation, nonlacunary interpolation basis, complete interpolation basis

中图分类号:

O241.3

李鹏, 董天. 多元不缺项插值基的存在条件及构造算法[J]. J4, 2006, 44(05): 738-740.

LI Peng, DONG Tian. Existence Conditions and Related Algorithm for Multivariate Nonlacunary Interpolation Basis[J]. J4, 2006, 44(05): 738-740.