| 一元Birkhoff型有理插值问题 |
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| 引用本文： | 刘莉莉,陈少田,夏朋,张树功.一元Birkhoff型有理插值问题[J].吉林大学学报(理学版),2011,49(3):369-372. |
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| 作者姓名： | 刘莉莉 陈少田 夏朋 张树功 |
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| 作者单位： | 吉林大学 数学研究所, 长春 130012 |
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| 基金项目： | 国家基础研究发展计划973项目基金(批准号:2004CB318000) |
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| 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.
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| 关 键 词： | Birkhoff型有理插值问题 关联矩阵 多项式系统 |
| 收稿时间： | 2010-05-17 |
On Univariate Birkhoff Rational Interpolation Problem |
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| LIU Li-li,CHEN Shao-tian,XIA Peng,ZHANG Shu-gong.On Univariate Birkhoff Rational Interpolation Problem[J].Journal of Jilin University: Sci Ed,2011,49(3):369-372. |
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| Authors: | LIU Li-li CHEN Shao-tian XIA Peng ZHANG Shu-gong |
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| Institution: | Institute of Mathematics, Jilin University, Changchun 130012, China |
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| 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. |
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| Keywords: | Birkhoff rational interpolation incidence matrix polynomial system |
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