确定双指数曲线参数初始值的循环搜索法  

The Method of Cyclic Search of Determining the Initial Values of Parameters of Double Exponential Curve

作　　者：朱珉仁[1] 

机构地区：[1]东南大学数学系,南京210096

出　　处：《数学的实践与认识》2003年第12期72-81,共10页Mathematics in Practice and Theory

摘　　要：提出了在最小二乘意义下用 Gauss-Newton法拟合双指数曲线时 ,充分利用观测值确定参数初始值的一种算法——循环搜索法 .据此可编制一个能自动拟合 2 0种单、双指数曲线中指定曲线的 Qbasic程序 .In this paper, an algorithm named the method of cyclic search is suggested to make full use of observed values to determine the initial values of parameters during double exponential curve is fitted in the meaning of least square by means of Gauss Newton method. According to this algorithm, a Qbasic procedure can be progremed to fit automatically the designated one type of 20 single or double exponential function curves. And it is successful to test and verify this algorithm in several examples.

关 键 词：双指数曲线 循环搜索法 Gauss-Newton法 最小二乘拟合 模型函数 

分 类 号：O241[理学—计算数学]