摘要
讨论了一般多点多重Hermite插值问题,利用局部自由因子获得了完全展开的多点多重Newton型插值公式,给出了增加一个自由度时的插值递推公式及有重差商表的构造原理.并提出了计算Newton型插值公式的多种快速算法.
This paper discusses the general multiple hermite interpolation problem. A complete expansion of Newton-form with multiple and multiple points is proceeded using locally free factor, and an interpolation recursion formula and the construction theorem of multiple divided difference table are given if a degree of freedom is added. Many fast algorthims are provided to compute the Newton-form interpolation formula.
出处
《东北师大学报(自然科学版)》
CAS
CSCD
北大核心
2008年第2期136-137,共2页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10571102)
东北师范大学自然科学青年基金资助项目(20060107)