New localization theorems for the M-eigenvalues of a fourth-order partially symmetric tensor
Year: 2025
Type: article
Abstract: M-eigenvalues of a fourth-order partially symmetric tensor have extensive research and applications in nonlinear elastic material analysis and quantum physics, which promotes the development of the M-eigenvalue estimating problems for fourth-order partially symmetric tensors. In this paper, we propose some new localization sets to investigate the distribution of the M-eigenvalues for a fourth-order partially symmetric tensor, which improves some existing ones in [Li et al., M-eigenvalue inclusion intervals for a fourth-order partially symmetric tensor, J. Comput. Appl. Math., 365 (2019) 391-401]. Using newly proposed M-eigenvalue localization sets, some new upper bounds on the M-spectral radius of fourth-order partially symmetric nonnegative tensors which are better than some existing ones are obtained. Finally, some numerical experiments are performed to show the effectiveness of our main results.
DOI: 10.3934/jimo.2025103
Authors: Yangyang Xu, Licai Shao, Guinan He, Zimo Chen
Institution: Lanzhou Jiaotong University
Language: English
Subfield: Computational Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4411467791