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.
出处
《中国有色金属学会会刊：英文版》
CSCD
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)
