循环搜索法在三参数双指数曲面拟合中的应用  

An Application of the Method of Cyclic Search to the Fitting of Double Exponential Surface with 3 Parameters

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》2004年第3期87-90,共4页Mathematics in Practice and Theory

摘　　要：在最小二乘意义下用 Gauss-Newton法拟合三参数双指数曲面z =γ[exp( -αx) +exp( -βy) ]时 ,充分利用观测值 ,应用循环搜索法确定了参数初始值 .并成功地以由 Meyer &Roth给出的观测值为例对此进行了验证 .The method of cyclic search is applied to make full use of observe values to determine the initial values of 3 parameters during double exponential surfacez=γis fitted in the least square meaning by means of Gauss-Newton method. And it is successful to test and verify this algorithm in the example which observed values were given by Meyer & Roth.

关 键 词：循环搜索法 最小二乘 Gauss-Newton法 Meyer&Roth 曲面拟合 

分 类 号：O182[理学—数学]