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, 20...

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Detalles Bibliográficos
Autores principales: He, Jun, Liu, Yan-Min, Ke, Hua, Tian, Jun-Kang, Li, Xiang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5053970/
https://www.ncbi.nlm.nih.gov/pubmed/27777863
http://dx.doi.org/10.1186/s40064-016-3338-3
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author He, Jun
Liu, Yan-Min
Ke, Hua
Tian, Jun-Kang
Li, Xiang
author_facet He, Jun
Liu, Yan-Min
Ke, Hua
Tian, Jun-Kang
Li, Xiang
author_sort He, Jun
collection PubMed
description 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).
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spelling pubmed-50539702016-10-24 Bounds for the Z-spectral radius of nonnegative tensors He, Jun Liu, Yan-Min Ke, Hua Tian, Jun-Kang Li, Xiang Springerplus Research 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). Springer International Publishing 2016-10-06 /pmc/articles/PMC5053970/ /pubmed/27777863 http://dx.doi.org/10.1186/s40064-016-3338-3 Text en © The Author(s) 2016 Open AccessThis 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
He, Jun
Liu, Yan-Min
Ke, Hua
Tian, Jun-Kang
Li, Xiang
Bounds for the Z-spectral radius of nonnegative tensors
title Bounds for the Z-spectral radius of nonnegative tensors
title_full Bounds for the Z-spectral radius of nonnegative tensors
title_fullStr Bounds for the Z-spectral radius of nonnegative tensors
title_full_unstemmed Bounds for the Z-spectral radius of nonnegative tensors
title_short Bounds for the Z-spectral radius of nonnegative tensors
title_sort bounds for the z-spectral radius of nonnegative tensors
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5053970/
https://www.ncbi.nlm.nih.gov/pubmed/27777863
http://dx.doi.org/10.1186/s40064-016-3338-3
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AT kehua boundsforthezspectralradiusofnonnegativetensors
AT tianjunkang boundsforthezspectralradiusofnonnegativetensors
AT lixiang boundsforthezspectralradiusofnonnegativetensors

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