The sensitivity of a spline function to perturbations of the knots

被引：6

作者：

Lyche, T ^{[1
]}

Morken, K ^{[1
]}

机构：

[1] Univ Oslo, Dept Informat, N-0316 Oslo, Norway

来源：

BIT | 1999年 / 39卷 / 02期

关键词：

B-splines; divided differences; perturbation of knots;

D O I：

10.1023/A:1022346030560

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper we study the sensitivity of a spline function, represented in terms of B-splines, to perturbations of the knots. We do this by bounding the difference between a primary spline and a secondary spline with the same B-spline coefficients, but different knots. We give a number of bounds for this difference, both local bounds and global bounds in general LP-spaces. All the bounds are based on a simple identity for divided differences. AMS subject classification: 41A15.

引用

页码：305 / 322

页数：18