| TLS问题和LS问题解加权残量的比较 |
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| 引用本文： | 蔡静.TLS问题和LS问题解加权残量的比较[J].计算数学,2010,32(3):225-232. |
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| 作者姓名： | 蔡静 |
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| 作者单位： | 湖州师范学院理学院,浙江湖州,313000 |
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| 基金项目： | 浙江省自然科学基金项目(Y6090164)和湖州市自然科学基金项目(2010YZ05)及校高等教育研究项目(GJC10021)资助. |
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| 摘 要： | 总体最小二乘(TLS)问题和最小二乘(LS)问题解残量的比较已有多篇文献予以探讨.本文对TLS问题和LS问题解的加权残量进行了比较. 导出了TLS解、改进的LS解及普通LS解加权残量之间的误差界. 从而进一步完善了已有的相关结果.
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| 关 键 词： | 总体最小二乘 最小二乘 残量 加权残量 |
| 收稿时间： | 2006-12-20 |
| 修稿时间： | 2010-05-12 |
COMPARISON OF THE WEIGHTED SQUARED RESIDUALS OF THE TLS AND THE LS PROBLEMS |
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| Cai Jing.COMPARISON OF THE WEIGHTED SQUARED RESIDUALS OF THE TLS AND THE LS PROBLEMS[J].Mathematica Numerica Sinica,2010,32(3):225-232. |
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| Authors: | Cai Jing |
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| Institution: | School of Science, Huzhou Teachers College, Huzhou 313000, Zhejiang, China |
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| Abstract: | There are a number of papers discussing the comparison of the squared residuals of the Total Least Squares(TLS) and the Least Squares(LS) problems. In this paper, the weighted squared residuals of the TLS and the LS problems are compared. Bounds of difference between the weighted squared residuals of the TLS, modified LS, and ordinary LS solutions are derived. Thus the existing related results are expanded. |
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| Keywords: | Total least squares Least squares Squared residuals Weighted squared residuals |
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