张量的一个更紧的 $Z$-特征值包含集及其应用
数值分析
2017-04-19 v2
摘要
给出了一个新的张量 -特征值包含集，并证明比 Wang 等人 (Discrete and Continuous Dynamical Systems Series B 22(1): 187-198, 2017) 和 Zhao (J. Inequal. Appl., to appear, 2017) 提出的那些更紧。作为一个应用，获得了弱对称非负张量的 -谱半径的一个更锐上界。最后，给出数值例子以验证理论结果。
引用
@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}
}
备注
In fact, this manuscript had been finished at 18th March, 2017. 12 pages. 1 figure. Comments and suggestions are highly welcome