| 在乘法扰动下延拓矩阵奇异空间的扰动界 |
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| 引用本文： | 文伟.在乘法扰动下延拓矩阵奇异空间的扰动界[J].广东工业大学学报,2011,28(1):58-61. |
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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： | 在矩阵A和A有相同分块的奇异值分解和乘法扰动下,对于母矩阵为A的行延拓矩阵Rk(A)与其扰动矩阵RK(A),使用奇异值的双分离度获得左右奇异空间的分离,研究了延拓矩阵Rk(A)与其扰动矩阵RK(A)的奇异空间在Frobenius范数下的扰动界.
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| 关 键 词： | 奇异空间 Frobenius范数 延拓矩阵 乘法扰动 |
Perturbation Bounds for Singular Space of Extended Matrix under Multiplicative Perturbation |
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| Wen Wei.Perturbation Bounds for Singular Space of Extended Matrix under Multiplicative Perturbation[J].Journal of Guangdong University of Technology,2011,28(1):58-61. |
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| Authors: | Wen Wei |
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| Affiliation: | Wen Wei (Basic Courses Department,Maoming Vocational and Technical College,Maoming,Guangdong 525000,China) |
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| Abstract: | When Matrix A and Matrix have the same partition singular decomposition and multiplicative perturbations,the Extended Matrix Rk(A) with mother Matrix A and the Extended Matrix k() with mother Matrix,the seperation between the left singular space and the right singular space is obtained by using double seperation degree.Furthermore,the perturbation bounds for the singular space of the Extended Matrix Rk(A) and its perturbation matrix k() are studied under Frobenius norm. |
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| Keywords: | singular space Frobenius norm extended matrix multiplicative perturbation |
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