| 延拓矩阵在非保秩扰动下次酉极因子的扰动界 |
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| 引用本文： | 吴强.延拓矩阵在非保秩扰动下次酉极因子的扰动界[J].广东工业大学学报,2009,26(3):86-89. |
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| 作者姓名： | 吴强 |
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| 作者单位： | 茂名职业技术学院基础部； |
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| 摘 要： | 延拓矩阵Rk(A)与其扰动矩阵R~k(A)的秩不相等时,利用奇异值分解的方法和在Frobenius范数下,对延拓矩阵Rk(A)与其扰动矩阵R~k(A)在广义极分解中的次酉因子,首次导出了在加法扰动下的扰动界和乘法扰动下的扰动界.
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| 关 键 词： | 延拓矩阵 广义极分解 Frobenius范数 次酉矩阵 奇异值分解 扰动界 |
Perturbation Bounds for Subunitary Polar Factors of Extended Matrix under Non-preserving Perturbation |
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| Wu Qiang.Perturbation Bounds for Subunitary Polar Factors of Extended Matrix under Non-preserving Perturbation[J].Journal of Guangdong University of Technology,2009,26(3):86-89. |
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| Authors: | Wu Qiang |
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| Affiliation: | Badic Department,Maoming Vocational and Technical College,Maoming 525000,China |
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| Abstract: | When the extended matrix Rk(A) is not equal to its perturbation matrix R~k(A),the perturbation bounds under additvie perburtation and multiplicatvie perturbation are deducted,by means of singualr value decomposition,the decomposited subunitary facotrs of the extended matrix Rk(A),and its perturbation matrix R~k(A) in generalized polar decomposition under Frobenius norms. |
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| Keywords: | extended matrix generalized polar decomposition Frobenius norm subunitary matrix singular value decomposition perturbation bound |
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