代 数 流 形 上 的 插 值 问 题

• • 下一篇

代数流形上的插值问题

董天, 张树功, 冯果忱

吉林大学数学学院, 长春 130012

收稿日期:2005-09-30 修回日期:1900-01-01 出版日期:2005-11-26 发布日期:2005-11-26
通讯作者: 张树功

Interpolation Problems on Algebraic Manifolds

DONG Tian, ZHANG Shu-gong, FENG Guo-chen

College of Mathematics, Jilin University, Changchun 130012, China

Received:2005-09-30 Revised:1900-01-01 Online:2005-11-26 Published:2005-11-26
Contact: ZHANG Shu-gong

摘要/Abstract

摘要： 运用构造性代数几何方法, 研究插值节点取在一个代数流形上时的多元多项式插值问题, 提出构造极小次数插值基的相关理论和算法, 并给出了极小次数插值多项式的次数估计.

关键词: 代数流形, Grbner基, 极小次数插值基

Abstract: Constructive algebraic geometry methods were used to discuss multivariate interpolation problems for which the interpolation nodes are taken from one algebraic manifold and the related theories and algorithms for constructing minimal degree interpolation basis were presented. An estimation for the degree of interpolation polynomial was also presented.

Key words: algebraic manifold, Grbner basis, minimal degree interpolation basis

中图分类号:

O241.3

董天, 张树功, 冯果忱. 代数流形上的插值问题[J]. J4, 2005, 43(06): 707-715.

DONG Tian, ZHANG Shu-gong, FENG Guo-chen. Interpolation Problems on Algebraic Manifolds[J]. J4, 2005, 43(06): 707-715.