A new Z-eigenvalue localization set for tensors

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. F...

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Detalles Bibliográficos
Autor principal: Zhao, Jianxing
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5400804/
https://www.ncbi.nlm.nih.gov/pubmed/28490850
http://dx.doi.org/10.1186/s13660-017-1363-6
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author Zhao, Jianxing
author_facet Zhao, Jianxing
author_sort Zhao, Jianxing
collection PubMed
description 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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spelling pubmed-54008042017-05-08 A new Z-eigenvalue localization set for tensors Zhao, Jianxing J Inequal Appl Research 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. Springer International Publishing 2017-04-21 2017 /pmc/articles/PMC5400804/ /pubmed/28490850 http://dx.doi.org/10.1186/s13660-017-1363-6 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Zhao, Jianxing
A new Z-eigenvalue localization set for tensors
title A new Z-eigenvalue localization set for tensors
title_full A new Z-eigenvalue localization set for tensors
title_fullStr A new Z-eigenvalue localization set for tensors
title_full_unstemmed A new Z-eigenvalue localization set for tensors
title_short A new Z-eigenvalue localization set for tensors
title_sort new z-eigenvalue localization set for tensors
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5400804/
https://www.ncbi.nlm.nih.gov/pubmed/28490850
http://dx.doi.org/10.1186/s13660-017-1363-6
work_keys_str_mv AT zhaojianxing anewzeigenvaluelocalizationsetfortensors
AT zhaojianxing newzeigenvaluelocalizationsetfortensors

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