| 延拓矩阵半正定因子的扰动界 |
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| 引用本文： | 文伟.延拓矩阵半正定因子的扰动界[J].广东工业大学学报,2010,27(3):19-21. |
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| 作者姓名： | 文伟 |
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| 作者单位： | 茂名职业技术学院基础部，广东茂名525000 |
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| 摘 要： | 母矩阵为A的行延拓矩阵R (A)与其扰动矩阵 (A)的半正定因子分别是 与疗，利用奇异值分解的方法，给出了延拓矩阵R (A)在Frobenius范数下半正定因子的扰动界．
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| 关 键 词： | 半正定因子 延拓矩阵 Frobenius范数 奇异值分解 扰动界 |
Perturbation Bounds for Positive Semi-definite Factors of Extended Matrix |
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| Wen Wei.Perturbation Bounds for Positive Semi-definite Factors of Extended Matrix[J].Journal of Guangdong University of Technology,2010,27(3):19-21. |
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| Authors: | Wen Wei |
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| Affiliation: | Basic Courses Department，Maoming Vocational and Technical College，Maoming 525000，China |
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| Abstract: | Abstract：The positive semi-definite factors of the extended matrix R (A)，whose mother matrix is A，and its perburtation matrix R (A)are H and H respectively．By means of singular value decomposition，the perturbation bounds for positive semi-definite factors of extended matrix R (A)are deduced under Frobenius norm． |
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| Keywords: | postive semi-definite factor extended matrix Frobenius norm singu lar decomposition perturbation
bound |
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