摘要
采用最小二乘法与最优化相结合的方法，解决一元非线性回归问题，使问题的处理过程无须对非线性模型方程作Ｔａｙｌｏｒ展开或其他过多的事前处理．程序通用性强，仅用一个计算程序，即可应用于各种不同背景的实际问题的参数估计．而且不必对每一个待定参数都设定初值。
Linear and nonlinear regression is used widely in data treatment. The method described here by author is a composition procedure of the optimization and the least squares method. The computing program of the procedure can be used for the data which are obtained from various sources,and the initial estimates of the parameters to be determined are easy. In the case of three parameters to be determined,only one parameter initial estimate should be performed.
基金
浙江省教委科研基金
关键词
非线性回归
大范围收敛
参数估计
最小二乘
nonlinear regression
nonlocal convergence
Antoine equation
Logistic model
chemical kinetics
