Two S-type Z-eigenvalue inclusion sets for tensors

In this paper, we present two S-type Z-eigenvalue inclusion sets involved with a nonempty proper subset S of N for general tensors. It is shown that the new sets are tighter than those provided by Wang et al. (Discrete Contin. Dyn. Syst., Ser. B 22(1):187-198, 2017). Furthermore, we obtain upper bou...

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Detalles Bibliográficos
Autores principales: Wang, Yanan, Wang, Gang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487936/
https://www.ncbi.nlm.nih.gov/pubmed/28680255
http://dx.doi.org/10.1186/s13660-017-1428-6
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author Wang, Yanan
Wang, Gang
author_facet Wang, Yanan
Wang, Gang
author_sort Wang, Yanan
collection PubMed
description In this paper, we present two S-type Z-eigenvalue inclusion sets involved with a nonempty proper subset S of N for general tensors. It is shown that the new sets are tighter than those provided by Wang et al. (Discrete Contin. Dyn. Syst., Ser. B 22(1):187-198, 2017). Furthermore, we obtain upper bounds for the spectral radius of weakly symmetric nonnegative tensors, which are sharper than existing results.
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spelling pubmed-54879362017-07-03 Two S-type Z-eigenvalue inclusion sets for tensors Wang, Yanan Wang, Gang J Inequal Appl Research In this paper, we present two S-type Z-eigenvalue inclusion sets involved with a nonempty proper subset S of N for general tensors. It is shown that the new sets are tighter than those provided by Wang et al. (Discrete Contin. Dyn. Syst., Ser. B 22(1):187-198, 2017). Furthermore, we obtain upper bounds for the spectral radius of weakly symmetric nonnegative tensors, which are sharper than existing results. Springer International Publishing 2017-06-27 2017 /pmc/articles/PMC5487936/ /pubmed/28680255 http://dx.doi.org/10.1186/s13660-017-1428-6 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
Wang, Yanan
Wang, Gang
Two S-type Z-eigenvalue inclusion sets for tensors
title Two S-type Z-eigenvalue inclusion sets for tensors
title_full Two S-type Z-eigenvalue inclusion sets for tensors
title_fullStr Two S-type Z-eigenvalue inclusion sets for tensors
title_full_unstemmed Two S-type Z-eigenvalue inclusion sets for tensors
title_short Two S-type Z-eigenvalue inclusion sets for tensors
title_sort two s-type z-eigenvalue inclusion sets for tensors
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487936/
https://www.ncbi.nlm.nih.gov/pubmed/28680255
http://dx.doi.org/10.1186/s13660-017-1428-6
work_keys_str_mv AT wangyanan twostypezeigenvalueinclusionsetsfortensors
AT wanggang twostypezeigenvalueinclusionsetsfortensors

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