Journal of Inequalities and Applications (Apr 2017)

A new Z-eigenvalue localization set for tensors

  • Jianxing Zhao

DOI
https://doi.org/10.1186/s13660-017-1363-6
Journal volume & issue
Vol. 2017, no. 1
pp. 1 – 9

Abstract

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Abstract A new Z-eigenvalue localization set for tensors is given and proved to be tighter than those in the work of Wang et al. (Discrete Contin. Dyn. Syst., Ser. B 22(1):187-198, 2017). 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 verify the theoretical results.

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