An Iterative Algorithm for Scaled Total Least Squares Estimation
LU Tie-ding1,2, ZHOU Shi-jian1,3, ZHANG Li-ting1,WANG Le-yang2
1. School of Geoscience and Surveying Engineering, East China Institute of Technology, Fuzhou, Jiangxi 344000, China
2. School of Geology Engineering and Geomatics, Chang'an University, Xi'an, Shaanxi 710064, China; 3. Jiangxi Academy of Sciences, Nanchang, Jiangxi 330029, China
Abstract:According to the scaled total least squares adjustment problems, based on the Lagrange function,the iterative method of the scaled total least squares is deduced. After comparison of the relationship between iterative method and singular-value decomposition method, the equivalence and consistency of these two methods are proved in theory.
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