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\begin{document}$ Z $\end{document}-eigenvalue exclusion theorems for tensors
Journal of Industrial and Management Optimization ( IF 1.2 ) Pub Date : 2019-05-14 , DOI: 10.3934/jimo.2019039
Gang Wang , , Yuan Zhang

To locate all $ Z$-eigenvalues of a tensor more precisely, we establish three $Z$-eigenvalue exclusion sets such that all $ Z$-eigenvalues do not belong to them and get three tighter $Z$-eigenvalue inclusion sets of tensor by using these $Z$-eigenvalue exclusion sets. Furthermore, we show that the new inclusion sets are tighter than the existing results via two running examples.

中文翻译:

\ begin {document} $ Z $ \ end {document}张量的特征值排除定理

为了更精确地定位张量的所有$ Z $特征值,我们建立了三个$ Z $特征值排除集,以使所有$ Z $特征值不属于它们,并获得了三个更紧密的张量$ Z $特征值包含集通过使用这些$ Z $特征值排除集。此外,我们通过两个运行示例显示,新的包含集比现有结果更紧密。
更新日期:2019-05-14
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