最小二乘问题的稳定近似解  

Stable Approximate Solution for Least Square Question

作　　者：司成海[1] 张锦[1] 郭文彬[1] 赵建立[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《数学的实践与认识》2009年第18期190-194,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10771073)

摘　　要：最小二乘法在实际中有着大量的应用,为解决其结果易受误差影响的问题,利用试验设计的思想,借助正交表得到了其稳定近似解的求解方法,使结果得以改进,并通过实例予以验证.Least square method is extremely useful in practice. In order to reduce the influence of error on the least square question, by making use of orthogonal array, this paper constructs a method for least square question to obtain it＇s stable approximate solution with the experimental design. And using some examples to illustrate the result is better than that of the ordinary least square solution.

关 键 词：最小二乘问题 稳定中心 稳定近似解 稳定系数 

分 类 号：O241.5[理学—计算数学] O175.5[理学—数学]