附有相对权比的总体最小二乘平差  

Total Least Squares Adjustment with Weight Scaling Factor

作　　者：王乐洋[1,2] 许才军[2] 

机构地区：[1]东华理工大学测绘工程学院,南昌市广兰大道418号330013 [2]武汉大学测绘学院,武汉市珞喻路129号430079

出　　处：《武汉大学学报（信息科学版）》2011年第8期887-890,共4页Geomatics and Information Science of Wuhan University

基　　金：国家863计划资助项目(2009AA12Z317);国家自然科学基金资助项目(40721001;40874003;40974017;41074007);国家公益地震行业科研专项基金资助项目(200808080);国家教育部博士点专项基金资助项目(20090141110055)

摘　　要：推导了加权情况下附有相对权比的总体最小二乘平差方法,提出了确定相对权比的验前单位权方差法和目标函数最小化法。模拟算例表明,当观测值和系数矩阵的验前单位权方差已知且比较准确时,验前单位权方差法得到的结果与参数真值的差值范数最小;目标函数最小化法的目标函数估值最小,与参数真值的差别比验前单位权方差法的结果稍大。The weighted total least squares adjustment with weight scaling factor is deduced.The prior unit weight variance method and minimum objective function method are proposed to determine weight scaling factor.Though the simulated example,some conclusions are obtained.When the prior unit weight variances of observation and coefficient matrix are known and accurate,the difference norm between the true value and estimation from the prior unit weight variance method is smallest of all;the estimation of the objective function by minimum objective function method is smallest,while the difference between true value and parameter estimation is larger than the result using the prior unit weight variance method.

关 键 词：标度总体最小二乘 相对权比 验前单位权方差法 目标函数最小化法 平差 

分 类 号：P207.2[天文地球—测绘科学与技术]