Work

Geršhgorin-type theorems for Z 1 -eigenvalues of tensors with applications

Year: 2025

Type: article

Abstract: In this article, we present several Geršhgorin-type theorems for Z 1 {Z}_{1} -eigenvalues of tensors, which improve the results provided by Wang et al. ( Some upper bounds on Z t {Z}_{t} - eigenvalues of tensors , Appl. Math. Comput. 329 (2018), 266–277). Bounds for the largest Z 1 {Z}_{1} -eigenvalue of nonnegative tensors are given. Furthermore, based on the Geršhgorin-type theorems, we introduce some sufficient criteria for the positivity of even order tensors.

Source: Demonstratio Mathematica

DOI: 10.1515/dema-2025-0117

Authors: Xiaowei Shen, Qian Hao, Jun He, Guangbin Wang

Institutions: Zunyi Normal College, Guizhou Normal University, Qingdao Agricultural University

Language: English

Topic: Tensor decomposition and applications

Subfield: Computational Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,187

OpenAlex ID: W4409062898

FWCI:

Cites: 39

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Related to: 10