Z-EIGENVALUE INCLUSION THEOREMS FOR TENSORS

By Gang Wang, Guanglu Zhou, L. Caccetta. 2016

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In this paper, we establish \begin{document} $Z$ \end{document} -eigenvalue inclusion theorems for general tensors, which reveal some crucial differences between \begin{document} $Z$ \end{document} -eigenvalues and \begin{document} $H$ \end{document} -eigenvalues. As an application, we obtain upper bounds for the largest \begin{document} $Z$ \end{document} -eigenvalue of a weakly symmetric nonnegative tensor, which are sharper than existing upper bounds.

Subfields: Biomedical Engineering, Computational Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/8ff52d4c60aac927ca67a7cdadc7d21ad72913a0