| 广义延拓矩阵在乘法扰动下特征空间的相对扰动界 |
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| 引用本文： | 吴强. 广义延拓矩阵在乘法扰动下特征空间的相对扰动界[J]. 数学理论与应用, 2012, 0(2): 53-59 |
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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： | 在矩阵A与其扰动矩阵A有相同分块的谱分解下，对于以A为母矩阵的广义延拓矩阵凡（A）及以A为母矩阵的广义延拓矩阵凡（A），使用特征值双分离度方法，给出了广义延拓矩阵n（A）与其扰动矩阵n（A）的特征空间在乘法扰动下的相对扰动界．
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| 关 键 词： | 广义延拓矩阵 母矩阵 特征空间 乘法扰动 相对扰动界 |
Relative Perturbation Bounds for Eigenspace of Generalized Extended Matrix under Multiplicative Perturbation |
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| Wu Qiang. Relative Perturbation Bounds for Eigenspace of Generalized Extended Matrix under Multiplicative Perturbation[J]. Mathematical Theory and Applications, 2012, 0(2): 53-59 |
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| Authors: | Wu Qiang |
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| Affiliation: | Wu Qiang(Maoming vocational and Technical College Maoming,Guangdong 525000) |
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| Abstract: | Under the situation that the Matrix A and its perturbation matrix have the same partitioning of spectral decomposition,the method of eigenvalue double separation is used on the generalized extended matrix Fk() with A as its original matrix Fk() and on the generalized extended eigenspace of the generalized extended matrix and its perturbation matrix Fk() under multiplicative perturbation. |
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| Keywords: | Generalized extended matrix Original matrix Eigenspace Multiplicative perturbation Relative perturbation bound |
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