Year: 2024
Type: article
Abstract: The spectral radius of nonnegative tensors and the minimum $H$-eigenvalues of strong $\mathcal{M}$-tensors are two types of tensor eigenvalues with important research significance, which promotes the tensor eigenvalue inequality to become an important component in tensor analysis. In this paper, based on Brualdi-type and Brauer-type eigenvalue inclusion sets of tensors, some Brualdi-type inequalities on the spectral radius for Hadamard product of two nonnegative tensors and some Brauer-type inequalities on the minimum $H$-eigenvalue for the Fan product of two strong $\mathcal{M}$-tensors are provided, respectively. In addition, the theoretical comparisons between the newly obtained inequalities and some previous ones are investigated. Finally, some numerical examples are reported to show the feasibility and effectiveness of our theoretical results.
Source: Taiwanese Journal of Mathematics
DOI: 10.11650/tjm/241006
Authors: Yangyang Xu, Guinan He, Licai Shao, Zimo Chen
Institution: Lanzhou Jiaotong University
Language: English
Subfield: Computational Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Awards: G6823769650, G8555283848
OpenAlex ID: W4404508801