Bounds for the Z-spectral radius of nonnegative tensors

In this paper, we have proposed some new upper bounds for the largest Z-eigenvalue of an irreducible weakly symmetric and nonnegative tensor, which improve the known upper bounds obtained in Chang et al. (Linear Algebra Appl 438:4166–4182, 2013 ), Song and Qi (SIAM J Matrix Anal Appl 34:1581–1595, 2...

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Bibliographic Details
Published in:SpringerPlus 2016-10, Vol.5 (1), p.1727-1727, Article 1727
Main Authors: He, Jun, Liu, Yan-Min, Ke, Hua, Tian, Jun-Kang, Li, Xiang
Format: Article
Language:English
Subjects:
Applied Mathematics
Humanities and Social Sciences
multidisciplinary
Science
Science (multidisciplinary)
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Summary:In this paper, we have proposed some new upper bounds for the largest Z-eigenvalue of an irreducible weakly symmetric and nonnegative tensor, which improve the known upper bounds obtained in Chang et al. (Linear Algebra Appl 438:4166–4182, 2013 ), Song and Qi (SIAM J Matrix Anal Appl 34:1581–1595, 2013 ), He and Huang (Appl Math Lett 38:110–114, 2014 ), Li et al. (J Comput Anal Appl 483:182–199, 2015 ), He (J Comput Anal Appl 20:1290–1301, 2016 ).
ISSN:2193-1801
2193-1801
DOI:10.1186/s40064-016-3338-3