Open AccessSharp upper bounds on the maximum $M$-eigenvalue of fourth-order partially symmetric nonnegative tensors
Author(s) -
Yuyan Yao,
Gang Wang
Publication year - 2022
Publication title -
mathematical foundations of computing
Language(s) - English
Resource type - Journals
ISSN - 2577-8838
DOI - 10.3934/mfc.2021018
Subject(s) - eigenvalues and eigenvectors , mathematics , order (exchange) , upper and lower bounds , combinatorics , mathematical analysis , physics , quantum mechanics , finance , economics
\begin{document}$ M $\end{document} -eigenvalues of partially symmetric nonnegative tensors play important roles in the nonlinear elastic material analysis and the entanglement problem of quantum physics. In this paper, we establish two upper bounds for the maximum \begin{document}$ M $\end{document} -eigenvalue of partially symmetric nonnegative tensors, which improve some existing results. Numerical examples are proposed to verify the efficiency of the obtained results.