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确定双指数曲线参数初始值的循环搜索法
引用本文:朱珉仁. 确定双指数曲线参数初始值的循环搜索法[J]. 数学的实践与认识, 2003, 33(12): 72-81
作者姓名:朱珉仁
作者单位:东南大学数学系,南京,210096
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 .并成功地以多个模型为例对此进行了验证

关 键 词:循环搜索法  观测值  双指数曲线  参数初始值
修稿时间:2000-03-14

The Method of Cyclic Search of Determining the Initial Values of Parameters of Double Exponential Curve
ZHU Min-ren. The Method of Cyclic Search of Determining the Initial Values of Parameters of Double Exponential Curve[J]. Mathematics in Practice and Theory, 2003, 33(12): 72-81
Authors:ZHU Min-ren
Abstract: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.
Keywords:the method of cyclic search  observed value  double exponential curve  initial value of parameter
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