Solving ill-conditioning observation equations via truncated SVD  

作　　者：GUI Qing-ming~1, GUO Jian-feng~(1, 2) (1. Institute of Science, Information Engineering University, Zhengzhou 450001, China 2. Institute of Geodesy and Geophysics, Chinese Academy of Science, Wuhan 430077, China ) 

出　　处：《中国有色金属学会会刊：英文版》2005年第S1期142-144,共3页Transactions of Nonferrous Metals Society of China

基　　金：Project Supported by the National Natural Science Foundation of China for Distinguished Yound Scholars of China (40125013) ; NationalNatural Science Foundation of China (40074006 , 40274001) ; Natural Science Foundation of Henan Province , China (004051300 ,0211051100)

摘　　要：To mitigate the ill effects and obtain more accurate and stable solution of the observation equations, the so-called truncated singular-value decomposition (TSVD) method is introduced by modifying the small (nonzero) singular values of the coefficients matrix. The proposed method directly disposed the ill-conditioning observation equations, which differs considerably from the traditional normal equation method. An application explains that TSVD can mitigate the ill conditioning.To mitigate the ill effects and obtain more accurate and stable solution of the observation equations, the so-called truncated singular-value decomposition (TSVD) method is introduced by modifying the small (nonzero) singular values of the coefficients matrix. The proposed method directly disposed the ill-conditioning observation equations, which differs considerably from the traditional normal equation method. An application explains that TSVD can mitigate the ill conditioning.

关 键 词：ILL CONDITIONING condition number TRUNCATED SVD 

分 类 号：P207.1[天文地球—测绘科学与技术]