A tighter $Z$-eigenvalue localization set for tensors and its applications
Numerical Analysis
2017-04-19 v2
Abstract
A new -eigenvalue localization set for tensors is given and proved to be tighter than those presented by Wang \emph{et al}. (Discrete and Continuous Dynamical Systems Series B 22(1): 187-198, 2017) and Zhao (J. Inequal. Appl., to appear, 2017). As an application, a sharper upper bound for the -spectral radius of weakly symmetric nonnegative tensors is obtained. Finally, numerical examples are given to verify the theoretical results.
Keywords
Cite
@article{arxiv.1704.03707,
title = {A tighter $Z$-eigenvalue localization set for tensors and its applications},
author = {Jianxing Zhao},
journal= {arXiv preprint arXiv:1704.03707},
year = {2017}
}
Comments
In fact, this manuscript had been finished at 18th March, 2017. 12 pages. 1 figure. Comments and suggestions are highly welcome