关于希氏空间平均样条插值的构造  

THE CONTRUCTION FOR HISTOGRAM SPLINE INTERPOLATION OF HILBERT SPACE

作　　者：韩国强 

机构地区：[1]中山大学计算机科学系

出　　处：《计算数学》1989年第2期212-219,共8页Mathematica Numerica Sinica

摘　　要：在实际问题中,尤其是统计问题,碰到的不一定是点态插值,而是要满足某种平均泛函条件.本文讨论算子样条积分平均插值,给出一种新的、计算稳定的求解算法.In this paper, operator histogram spline interpolations are considered. By calculating theinner product of B-splines, a new stable computational method is obtained, can be easily car-ried out on a computer by solving a symmetric least band-width linear algebraic system. Espe-cially, this method is very simple for polynomial splines. Smoothing splines are consideredand similar results are obtained.

关 键 词：希氏空间 平均样条插值 新算法 

分 类 号：O241.5[理学—计算数学]