A new Z-eigenvalue inclusion theorem for tensors

2017/05/15 by Jianxing Zhao, Zhao, Jianxing
Computer Science · Mathematics · #15A18 #15A42 #15A69 #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.1705.05187

openalex publication_date 2017/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A new Z-eigenvalue inclusion theorem for tensors is given and proved to be tighter than those in [G. Wang, G.L. Zhou, L. Caccetta, Z-eigenvalue inclusion theorems for tensors, Discrete and Continuous Dynamical Systems Series B,22(1) (2017) 187--198]. Based on this set, a sharper upper bound for the Z-spectral radius of weakly symmetric nonnegative tensors is obtained. Finally, numerical examples are given to show the effectiveness of the proposed bound.

Related

• A tighter Z-eigenvalue localization set for tensors and its applications
• A new S-type eigenvalue localization set for tensors and its applications
• The Minc-type bound and the eigenvalue inclusion sets of the general product of tensors
• The Z-eigenpairs of orthogonally diagonalizable symmetric tensors
• Exclusion sets in eigenvalue inclusion sets for tensors