牛顿优化法在地下水位曲线拟合中的应用

 在非线性拟合中，常采用变量替换的方法使之线性化，再按线性模型处理。但这种方法并非无偏估计。 采用牛顿法逐次改进其参数，使之逼近无偏，从而提高曲线拟合精度。实例计算表明 此法用于地下水位的曲线拟合效果显著。

Application of Newton Optimizing Method to Non Lineer Fitting of Ground Water level Curves

The method by change of variables is usually used to linearize in non linear fitting, and then the linear model is employed in the calculation. But it must be pointed out that in this method the parameter estimates are still not unbiased estimates. For improving the calculating process, the authors use the Newton method to optimize parameters, and, thus, the parameters approximate to unblased estimates and the accuracy of the fitting is raised. An illustration calculation shows that the proposed method is appropriate to the analysis of ground water level curves.