Some new Z-eigenvalue localization sets for tensors and their applications

Zhengge Huang, Ligong Wang, Zhong Xu, Jingjing Cui

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In this paper some new Z-eigenvalue localization sets for general tensors are established, which are proved to be tighter than those newly derived by Wang et al. [Discrete Contin. Dyn. Syst. Ser. B, 22 (2017), 187-198]. Also, some relationships between the Z-eigenvalue inclusion sets presented by Wang et al. and the new Z-eigenvalue localization sets for tensors are given. Besides, we discuss the effects of orthonormal transformations for the proposed sets. As applications of the proposed sets, some improved upper bounds for the Z-spectral radius of weakly symmetric nonnegative tensors are given. Numerical examples are also given to verify the advantages of our proposed results over some known ones.

Original languageEnglish
Pages (from-to)99-119
Number of pages21
JournalRevista de la Union Matematica Argentina
Volume60
Issue number1
DOIs
StatePublished - 2019

Keywords

  • Largest Z-eigenvalue
  • Spectral radius
  • Weakly symmetric nonnegative tensors
  • Z-eigenvalue localization set

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