Cauchy型多元有理插值的存在性

Cauchy型多元有理插值的存在性

刘停战，雷娜，陈少田

吉林大学数学研究所，长春 130012

收稿日期:2004-06-16 修回日期:1900-01-01 出版日期:2004-07-26 发布日期:2004-07-26
通讯作者: 刘停战

Existence condition of Cauchy multivariate rational interpolation

LIU Ting-zhan, LEI Na, CHEN Shao-tian

Institute of Mathematics, Jilin University, Changchun 130012, China

Received:2004-06-16 Revised:1900-01-01 Online:2004-07-26 Published:2004-07-26
Contact: LIU Ting-zhan

摘要/Abstract

摘要： 以多元多项式插值的代数理论为工具, 给出多元情形下Cauchy型插值函数的表达式与有理插值的存在条件, 得到了与一元情形相似的结论.

关键词: 多元有理插值, Cauchy型插值函数, 存在性条件

Abstract: This paper studied multivariate rational interpolation of Cauchy type with the help of the algebraic theory about multivariate polynomial interpolation. It's expression and existence condition was given. The concl usion obtainal is similar to univariate Cauchy rational interpolation.

Key words: multivariate rational interpolation, interpolation function of Cauchy type, existence condition

中图分类号:

O241.3

刘停战，雷娜，陈少田. Cauchy型多元有理插值的存在性[J]. J4, 2004, 42(03): 356-358.

LIU Ting-zhan, LEI Na, CHEN Shao-tian. Existence condition of Cauchy multivariate rational interpolation[J]. J4, 2004, 42(03): 356-358.

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