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《Mathematica Numerica Sinica》 2003-04
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ON THE COMPARISION OF THE TOTAL LEAST SQUARES AND THE LEAST SQUARES PROBLEMS

Liu Yonghui Department of Mathematics, East China Normal University, Shanghai, 200062; Department of Mathematics, Zao Zhuang Normal College, Shandong, 277160 Wei Musheng Department of Mathematics, East China Normal University, Shanghai, 200062  
There are a number of articles discussing the total least squares(TLS) and the least squares(LS) problems. M. Wei(M. Wei, Mathematica Numerica Sinica 20(3)(1998), 267-278) proposed a new orthogonal projection method to improve existing perturbation bounds of the TLS and LS problems. In this paper, we continue to improve existing bounds of differences between the squared residuals, the weighted squared residuals and the minimum norm correction matrices of the TLS and LS problems.
【Fund】: 上海市重点学科建设基金
【CateGory Index】: O241.5
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