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《Crustal Deformation and Earthquake》 2002-03
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SPECTRAL DECOMPOSITION FORMULA OF REGULARIZATION SOLUTION FOR ILL-POSED EQUATION

Shen Yunzhong and Xu Houze\;1)Tongji University,Shanghai\ 200092 2)Institute of Geodesy and Geophysics, CAS, Wuhan\ 430077  
This paper discusses the regularization solution of ill posed equation with the help of its spectral decomposition formula and elucidates that regularization can smooth the influence of the high frequency errors which are very sensitive to the parameters to be estimated and completely derives out the spectral decomposition formulae of least square adjustment, rank deficient adjustment and the regularization solution of ill posed equation. It also shows the equality between the trace of the mean square error and the second norm of estimated parameter's total error.
【Fund】: 中科院动力大地测量学开放研究实验室基金资助项目 ;编号 :L2 1-(0 1) ;; 上海市教育发展基金 (0 1JG0 5 0 3 48)资助
【CateGory Index】: P207
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