多元零次有理插值的存在条件及算法

多元零次有理插值的存在条件及算法

董天, 李鹏, 雷娜

吉林大学数学学院, 长春 130012

收稿日期:2006-11-02 修回日期:1900-01-01 出版日期:2006-11-26 发布日期:2006-08-26
通讯作者: 雷娜

Existence Condition for Multivariate Rational Interpolationof Zero Degree and Related Algorithm

DONG Tian, LI Peng, LEI Na

College of Mathematics, Jilin University, Changchun 130012, China

Received:2006-11-02 Revised:1900-01-01 Online:2006-11-26 Published:2006-08-26
Contact: LEI Na

摘要/Abstract

摘要： 用构造性代数几何工具, 研究由 R^d中一组给定节点的信息构造节点子集上的多元零次有理插值函数, 给出了插值函数的存在条件及相应算法.

关键词: 多元有理插值, 零次有理插值, 完全插值基

Abstract: With constructive algebraic geometry as a tool, we discussed the construction of the rational interpolation function of zero degree on a subset of a given set of nodes in R^d. We presented the existence condition and related algorithm.

Key words: multivariate rational interpolation, rational interpolation of zero degree, complete interpolation basis

中图分类号:

O241.3

董天, 李鹏, 雷娜. 多元零次有理插值的存在条件及算法[J]. J4, 2006, 44(06): 898-900.

DONG Tian, LI Peng, LEI Na. Existence Condition for Multivariate Rational Interpolationof Zero Degree and Related Algorithm[J]. J4, 2006, 44(06): 898-900.

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