二阶切触有理插值算子的构造方法  

A method of constructing bivariate osculatory rational interpolating operator

作　　者：马毒帛毒帛 

机构地区：[1]安徽建筑大学数理学院,安徽合肥230601

出　　处：《重庆文理学院学报（社会科学版）》2016年第2期37-39,50,共4页Journal of Chongqing University of Arts and Sciences（Social Sciences Edition)

基　　金：安徽省高等学校省级自然科学研究项目（KJ20138067）.

摘　　要：通过引入二阶插值算子，给出了一种较为简便的构造切触有理插值的新方法和一个新型的切触有理插值公式．如果用该方法所得到的插值函数次数较高，还可以通过引入多个参数的方法，对所构造的有理插值函数进行降次．该方法比常用的连分式方法更为简便易行，具有较高的实用价值．In this paper, osculatory rational interpolating function was constructed by a new method of introducing bivariate interpolating operator. For osculatory rational interpolating function that we had constructed, we could reduce its number of times by choosing parameters. Existing methods of constructing osculatory rational interpolating function were almost related to calculation of continued fractions. But the feasibility of their algorithms was conditional and they needed a large amount of calculation. This new method in this paper was fairly simple and had immense application foreground.

关 键 词：二阶插值算子 切触有理插值 降次 参数 连分式 

分 类 号：O174.42[理学—数学]