摘要
提出了一种任意曲线拟合的新方法,该方法以递归函数理论为基础,应用原始递归式来表示函数,求解过程中以递归迭代为主要计算方法,避免了用传统最小二乘法所致的病态矩阵现象,且在拟合多项式时具有自动确定其次数的优点.
A new appoach for curve fitting based on the basic theory of recursive function ispresented. I11-condition matrix which exists usually in the least square fitting appears no morein this appoach. The power number of the fitted polynomials can be gotten automaticly.The theories of curve fitting with linear function, polynomial function and common functionare presented. Two examples to show the accuracy of the appoach are provided.
出处
《上海理工大学学报》
CAS
1998年第3期225-228,共4页
Journal of University of Shanghai For Science and Technology
关键词
曲线拟合
递归函数理论
最小二乘拟合
curve fitting
recursive function theory
least square fitting