摘要
本文研究了两类多元分离子的构造方法并提出计算公式.分析了多元分离子与Groebner基的关系.把所求分离子应用到多元插值问题上,得到在字典序与广义字典序下用分离子表示的多元插值多项式.数值模拟显示了所述方法的有效性.
In this paper,construction methods for two types of separators are studied and the corresponding computational formulas are given.Grobner bases techniques are applied to construct multivariate separators that can solve a given multivariate interpolation problem. The paper provides the representations of interpolating polynomials by two particular separating sets constructed using the lex order and the generalized lex order.The efficiency of the methods is tested by numeric simulations.
出处
《应用数学学报》
CSCD
北大核心
2010年第2期281-289,共9页
Acta Mathematicae Applicatae Sinica
基金
北京市大学生科学研究与创业行动计划资助项目
