三次样条函数系数求解扰动分析

Error Analysis for Calculating Coefficients of Spline Function

本文讨论了三次样条函数矩阵元素的扰动对曲线插值精度的影响。文章在叙述线性方程组解向量精度估计表达式的基础上，通过实例进行计算分析，进而引入“条件数”比较求解过程的稳定性。该方法也适用于分析一般线性方程组求解的稳定性。

The error analysis for calculating coefficients of spline function is described in this paper.Based on the expression in error estimation for results of linear equation group,some calculation examples are presented.Furthermore,'Cond'method is compared with.The above methods also apply to analysis of calculating stability for general linear equation group.