构造向量值有理插值函数的一种新方法  

A NEW METHOD OF CONSTRUCTING VECTOR-VALUED RATIONAL INTERPOLATION FUNCTION

作　　者：郑林[1] 朱功勤[2] 

机构地区：[1]上海大学数学系,上海200444 [2]合肥工业大学数学系,合肥230009

出　　处：《高等学校计算数学学报》2011年第3期270-278,共9页Numerical Mathematics A Journal of Chinese Universities

基　　金：安徽省自然科学基金项目(070416227);合肥工业大学学生创新基金项目(XS08079)资助

摘　　要：1引言 给定n＋1个互异的点{xi}：There is no general conclusion for the existence of vector-valued rational interpolation function based on the continued fraction expression, then the suitability of the construction method is restricted. This paper presents a new interpolation method and gives a simple algorithm to compute the vector-valued rational interpolation function. This method uses a special polynomial which is not based on the continued fraction form. The numerical example given illustrates the efficiency of the method.

关 键 词：有理插值函数 向量值 构造 

分 类 号：O241.5[理学—计算数学]