一元Birkhoff型有理插值问题  

On Univariate Birkhoff Rational Interpolation Problem

作　　者：刘莉莉[1] 陈少田[1] 夏朋[1] 张树功[1] 

机构地区：[1]吉林大学数学研究所,长春130012

出　　处：《吉林大学学报（理学版）》2011年第3期369-372,共4页Journal of Jilin University:Science Edition

基　　金：国家基础研究发展计划973项目基金(批准号:2004CB318000)

摘　　要：研究一元Birkhoff型有理插值问题,先将Birkhoff型插值问题转化为求解多元多项式系统,然后利用Groebner基方法求解该多元多项式系统,获得了Birkhoff型有理插值问题的解.Univariate Birkhoff rational interpolation problem was investigated.Firstly,the Birkhoff rational interpolation problem was converted into a polynomial system solving problem.Then the polynomial system was resolved by means of Groebner basis and thus the solution of the Birkhoff rational interpolation was obtained.

关 键 词：Birkhoff型有理插值问题 关联矩阵 多项式系统 

分 类 号：O151.1[理学—数学] O187.2[理学—基础数学]