任意阶光滑逼近的数值方法

The Numerical Method of Smooth Approaching of any Order

本文借助于逼近论的基本原理，最优控制理论、变办法，采用非线性规划的方法，为任意阶光滑曲线拟合建立统一的数学模型，构造出易在计算机上实现的数值方法和程序．本文结果有效地改进、完善和扩充了［３～５］中的主要结果；经实例检验，证实本文建立的模型、构造的算法、编制的程序有效且可行．

According to the fundamentals of approaching theory and calculus of variations of optimical control theory,we establish a unite mathematical, model numerical method and programme for smooth fitting a curve of any order. The result of this paper improve and expand the main result of [3～5] effectively. The examples provided by this paper prove that the model,algoritum and programme founded here are effective and practical.