| 对称特征值问题扰动的探讨 |
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| 引用本文： | 郑华. 对称特征值问题扰动的探讨[J]. 韶关学院学报, 2009, 30(3): 35-37 |
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| 作者姓名： | 郑华 |
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| 作者单位： | 韶关学院数学与信息科学学院,广东,韶关,512025 |
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| 摘 要： | 利用矩阵函数微分学理论，描述了对称矩阵被对称扰动以后特征值的变化规律，并给出了Wielandt-Hoffman定理的另一个证明方法．
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| 关 键 词： | 对称矩阵 扰动 特征值 |
On perturbation of symmetry eigenproblem |
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| ZHENG Hua. On perturbation of symmetry eigenproblem[J]. Journal of Shaoguan University(Social Science Edition), 2009, 30(3): 35-37 |
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| Authors: | ZHENG Hua |
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| Affiliation: | ZHENG Hua(College of Mathematics and Information Sciences, Shaoguan University, Shaoguan 512005, Guangdong, China) |
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| Abstract: | On the basis of the theory of derivative of matrix function, the derivative of eigenvalue of real symmetry matrix, which is perturbed by a symmetry matrix, is showed. Then another method to prove WielandtHoffman theorem is given. |
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| Keywords: | symmetry matrix perturbation eigenvalu |
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