A new $Z$-eigenvalue inclusion theorem for tensors
Numerical Analysis
2017-05-16 v1
Abstract
A new -eigenvalue inclusion theorem for tensors is given and proved to be tighter than those in [G. Wang, G.L. Zhou, L. Caccetta, -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 -spectral radius of weakly symmetric nonnegative tensors is obtained. Finally, numerical examples are given to show the effectiveness of the proposed bound.
Keywords
Cite
@article{arxiv.1705.05187,
title = {A new $Z$-eigenvalue inclusion theorem for tensors},
author = {Jianxing Zhao},
journal= {arXiv preprint arXiv:1705.05187},
year = {2017}
}
Comments
The paper was completed at February 17, 2017. A total of 8 pages