| 极因子的扰动界及其应用 |
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| 引用本文： | 戴华.极因子的扰动界及其应用[J].南京航空航天大学学报,1994,26(3):429-433. |
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| 作者姓名： | 戴华 |
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| 作者单位： | 南京航空航天大学数理力学系 |
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| 摘 要： | 设，假定分别是的极分解。本文证明了其中是矩阵的Ｆｒｏｂｅｎｉｕｓ范数。并且将这个结果应用于矩阵正逼近问题的扰动分析。假定的正逼近．
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| 关 键 词： | 线性代数计算法 矩阵 极分解 扰动界 对称半正定矩阵 正逼近 |
Perturbation Bound for the Polar Factor and Its Application |
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| Dai Hua.Perturbation Bound for the Polar Factor and Its Application[J].Journal of Nanjing University of Aeronautics & Astronautics,1994,26(3):429-433. |
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| Authors: | Dai Hua |
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| Abstract: | Let A, Suppose that A=QH and are the polar decompositions of A and A, respectively.It is proved thatwhere denotes the Frobenius norm of matrix. This result has been applied to the perturbation analysis of the problem of positive approximation for the matrix.Suppose that are the positive approximations of,respectively. It is also proved that |
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| Keywords: | computational methods of linear algebra matrices polar decomposition perturbation bound sysmmetric positive semidefinite matrix positive approximation |
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