解非线性的最小二乘法拟合曲线的数值延拓法

Numerical continuation method for nonlinear curve fitting by use of least square method

非线性函数的最小二乘法拟合曲线需要求解一个非线性方程组.根据解非线性方程组的全局收敛方法,利用数值延拓法研究了非线性函数的最小二乘法拟合曲线的计算方法,并给出其算法为全局收敛的充分条件.

It is necessary to solve a system of nonlinear equations for fitting the curve of nonlinear function by use of the least square method. Based on the global convergence method for solving the nonlinear equations, the numerical continuation method is adopted to study the least square fitting of nonlinear functions, and the sufficient condition is also given for the numerical method to realize the global convergence.