期刊文献+

Properties of the total least squares estimation 被引量:3

Properties of the total least squares estimation
下载PDF
导出
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. 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.
作者 Wang Leyang
出处 《Geodesy and Geodynamics》 2012年第4期39-46,共8页 大地测量与地球动力学(英文版)
基金 The research was supported by the National Natural Science Foundation of China(41204003) Scientific Research Foundation of ECIT(DHBK201113) Scientific Research Foundation of Jiangxi Province Key Laboratory for Digital Land(DLLJ201207)
关键词 total least squares (TLS) least squares (LS) singular value decomposition (SVD) RESIDUALS unit weight variance total least squares (TLS) least squares (LS) singular value decomposition (SVD) residuals unit weight variance
  • 相关文献

参考文献2

二级参考文献2

共引文献29

同被引文献24

引证文献3

二级引证文献10

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部