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特征值定理向伪谱定理推广的注记

A Note on Generalizing Eigenvalue Theorems to Pseudospectra Theorems
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摘要 该文讨论了6个包含ε-伪谱的定理,每个定理都是对熟悉的特征值定理的推广,这些定理在以前还没有用伪谱的语言叙述过。在对高度非正规矩阵的研究应用中,这些定理将比它们的特例——特征值定理更可靠,能提供更多的信息。 In this paper, we discussed eleven theorems involving e - pseudospectra that each generalize a familiar eigenvalue theorem. These theorems have not been stated in the language of pseudospectra before. Nevertheless, for practical applications involving highly non-normal matrices, they may sometimes be more useful than their eigenvalue special cases, may provide more descriptive information.
作者 李宝成 孙峥
出处 《南京理工大学学报》 EI CAS CSCD 北大核心 2003年第z1期52-55,共4页 Journal of Nanjing University of Science and Technology
关键词 特征值 伪谱 非正规性 eigenvalues pseudospectra nonnormality
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参考文献7

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