| 加权总体最小二乘问题的解集和性质 |
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| 引用本文： | 魏木生,陈果良.加权总体最小二乘问题的解集和性质[J].高校应用数学学报(A辑),1994(3):304-311. |
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| 作者姓名： | 魏木生 陈果良 |
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| 作者单位： | 华东师范大学 |
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| 基金项目： | 国家自然科学基金,国家教委优秀青年教师基金 |
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| 摘 要： | 本文讨论了加权总体最小二乘问题的等价解集，分析了加权总体最小二乘解与加权最小二乘问题的解之间的关系。推广了Ｇｏｌｕｂ和Ｖａｎ Ｌｏａｎ，Ｖａｎ Ｈｕｆｆｅｌ和Ｖａｎｄｅｗａｌｌｅ，及Ｗｅｉ的相应结果。
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| 关 键 词： | 加权 总体最小二乘 等价解集 解集 |
SOLUTION SETS AND PROPERTY FOR WEIGHTED TOTAL LEAST SQUARES PROBLEM |
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| Wei Musheng, Chen Guoliang.SOLUTION SETS AND PROPERTY FOR WEIGHTED TOTAL LEAST SQUARES PROBLEM[J].Applied Mathematics A Journal of Chinese Universities,1994(3):304-311. |
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| Authors: | Wei Musheng Chen Guoliang |
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| Institution: | East China Normal University |
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| Abstract: | In this paper,five equivalent formulas for the solution set of the weighted total least squares problem(WTLS)are proved;the relations between the WTLS and weighted least squares(WLS)solutions are obtained.The analysis is useful especially for rank deficient prob lems and generalizes the results of Golub and Van Loan,Van Huffel and Vandewalle,and of Wei. |
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| Keywords: | Weighted Total Least Squares Equivalent Solution Sets WTLS Solution WLS Solution Relations |
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