Properties of the total least squares estimation

被引：0
|
作者：
Wang Leyang [1 ,2 ]
机构：
[1] Faculty of Geomatics,East China Institute of Technology
[2] Jiangxi Province Key Lab for Digital
来源：
Geodesy and Geodynamics | 2012年 / 3卷 / 04期
关键词：
D O I：
暂无
中图分类号：
O151.2 [线性代数];
学科分类号：
070104 ;
摘要：
Through theoretical derivation, some properties of the total least squares estimation are found. The total least squares estimation is the linear transformation of the least squares estimation, and the total least squares estimation is unbiased. The condition number of the total least squares estimation is greater than the least squares estimation, so the total least squares estimation is easier to be affected by the data error than the least squares estimation. Then through the further derivation, the relationships of solutions, residuals and unit weight variance estimations between the total least squares and the least squares are given.
引用
收藏
页码：39 / 46
页数：8
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