定义于椭圆抛物面上的多元Lagrange插值问题

Multivariate Lagrange Interpolation Defined on Elliptic Paraboloid

针对在实际科研生产中经常涉及到的有关定义于椭圆抛物面上的多元Lagrange插值问题进行了研究。提出了定义于锥面椭圆抛物面上的多元Lagrange插值定义,给出了判定椭圆抛物面上的结点组是否构成插值唯一正解结点组的判定定理以及迭加构造方法,最后通过算列对所得方法进行了实现。

The multivariate Lagrange interpolation problem,which is usually defined on the elliptic parabo-loid,is often studied in practical scientific research and production.Multivariate Lagrange inter-polation is proposed to define the definition of Elliptic paraboloid,given to determine whether the node group on an elliptic paraboloid form judgment theorem and superposition method to con-struct interpolation regular set of nodes,finally is to implement the method.