| 可对称化矩阵特征值的任意扰动 |
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| 引用本文： | 陈建新.可对称化矩阵特征值的任意扰动[J].电子科技大学学报(社会科学版),2005(1). |
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| 作者姓名： | 陈建新 |
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| 作者单位： | 广东工业大学应用数学学院 广州510006 |
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| 基金项目： | 广东省高校教师自然科学基金资助项目 |
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| 摘 要： | 针对可对称化矩阵,研究了可对称化矩阵特征值的任意扰动和实任意扰动。从Schur分解入手,利用矩阵可对角化的性质,通过矩阵等式的恒等变形,得到了可对角化矩阵关于F-范数和Q-范数的任意扰动界。
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| 关 键 词： | 可对称化矩阵 扰动界 F-范数 Q-范数 |
Arbitrary Perturbation Bounds on Diagonalizable Matrix |
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| CHEN Jian-xin.Arbitrary Perturbation Bounds on Diagonalizable Matrix[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),2005(1). |
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| Authors: | CHEN Jian-xin |
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| Abstract: | In this paper, to symmetrical matrix (diagonalizable matrix), we have studied arbitrary perturbation and real arbitrary perturbation of it (with real eigenvalue arbitrary perturbation). It is started with to resolve from everybody known very well Schur decomposition, utilizing matrix that can be diagonalizable and identically equal through matrix equality out of shape, receiving perturbation bounds of diagonalizable matrix about F-norm and Q-norm. |
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| Keywords: | symmetrical matrices perturbation bound F-norm Q-norm |
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