一元Birkhoff型有理插值问题

J4 ›› 2011, Vol. 49 ›› Issue (03): 369-372.

一元Birkhoff型有理插值问题

刘莉莉, 陈少田, 夏朋, 张树功

吉林大学数学研究所, 长春 130012

收稿日期:2010-05-17 出版日期:2011-05-26 发布日期:2011-06-15
通讯作者: 张树功 E-mail:sgzh@mail.jlu.edu.cn

On Univariate Birkhoff Rational Interpolation Problem

LIU Lili, CHEN Shaotian, XIA Peng, ZHANG Shugong

Institute of Mathematics, Jilin University, Changchun 130012, China

Received:2010-05-17 Online:2011-05-26 Published:2011-06-15
Contact: ZHANG Shugong E-mail:sgzh@mail.jlu.edu.cn

摘要/Abstract

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.

关键词: Birkhoff型有理插值问题, 关联矩阵, 多项式系统

Abstract:

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.

Key words: Birkhoff rational interpolation, incidence matrix, polynomial system

中图分类号:

O151.1

刘莉莉, 陈少田, 夏朋, 张树功. 一元Birkhoff型有理插值问题[J]. J4, 2011, 49(03): 369-372.

LIU Chi-Chi, CHEN Shao-Tian, JIA Peng, ZHANG Shu-Gong. On Univariate Birkhoff Rational Interpolation Problem[J]. J4, 2011, 49(03): 369-372.