定义于双叶双曲面上的多元函数切触插值问题

Osculatory Interpolation of Multivariate Functions Defined on Hyperboloid

针对在实际科研生产中经常涉及到的有关定义于双叶双曲面上的多元函数切触插值问题进行了研究,提出了定义于双叶双曲面上的多元函数切触插值定义,给出了判定双叶双曲面上的泛函组是否构成切触插值适定泛函组的判定定理以及插值格式的迭代构造方法,最后通过实验算例对所得方法进行了实现。

This paper deals with the problem of multivariate osculatory interpolation defined on hyperboloid of two sheets, which is often involved in scientific research and production. The definition of multi-variate osculatory interpolation on the hyperboloid of two sheets is presented, and the judgment theorem and the iterative construction method are given to determine whether the functional group on hyperboloid of two sheets constitutes the adaptive functional group of interpolation. Fi-nally, the obtained method is implemented by an example.