【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。更多还原

【Abstract】 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.更多还原