Iteration Method by Correcting Characteristic Values to
Ill-posed Total Least Squares Problem
1 Faculty of Geomatics, East China Institute of Technology,418 Guanglan Road, Nanchang 330013, China
2 Jiangxi Province Key Lab for Digital Land, 418 Guanglan Road, Nanchang 330013, China
3 Key Laboratory of Watershed Ecology and Geographical Environment Monitoring, NASMG， 418 Guanglan Road, Nanchang 330013, China
Abstract：The ridge estimation and regularization methods are deficient because they destroy the equivalence relationship of the equation and the solution is a biased estimation. To overcome these deficiencies, an iteration method of correcting characteristic values to TLS, and its improved algorithm, are proposed on the basis of the iteration method, by correcting characteristic values to LS. The results of the examples show that the iteration method of correcting characteristic values to TLS or LS is equivalent to the general TLS or LS respectively in normal situations, and the algorithms proposed are effective but susceptible to the initial iteration value in ill-conditioned situations.
YU Dongdong,WANG Leyang. Iteration Method by Correcting Characteristic Values to
Ill-posed Total Least Squares Problem[J]. jgg, 2015, 35(4): 702-706.
