| TLS和LS问题的比较 |
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| 引用本文： | 刘永辉,魏木生.TLS和LS问题的比较[J].计算数学,2003,25(4):479-492. |
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| 作者姓名： | 刘永辉 魏木生 |
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| 作者单位： | 1. 华东师范大学数学系,上海,200062;枣庄师范专科学校数学系,山东,277160
2. 华东师范大学数学系,上海,200062 |
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| 基金项目： | 上海市重点学科建设基金 |
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| 摘 要： | 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,wecontinue 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.
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| 关 键 词： | 总体最小二乘问题 TLS问题 LS问题 最小二乘问题 修正矩阵 |
| 修稿时间： | 2002年3月8日 |
ON THE COMPARISION OF THE TOTAL LEAST SQUARES AND THE LEAST SQUARES PROBLEMS |
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| Liu Yonghui.ON THE COMPARISION OF THE TOTAL LEAST SQUARES AND THE LEAST SQUARES PROBLEMS[J].Mathematica Numerica Sinica,2003,25(4):479-492. |
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| Authors: | Liu Yonghui |
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| Institution: | 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 |
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| Abstract: | 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. |
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| Keywords: | Total least squares least squares squared residual weighted squared residual correction matrice accuracy |
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