A new bound for the spectral radius of nonnegative tensors

By estimating the ratio of the smallest component and the largest component of a Perron vector, we provide a new bound for the spectral radius of a nonnegative tensor. And it is proved that the proposed result improves the bound in (Li and Ng in Numer. Math. 130(2):315-335, 2015).

Detalles Bibliográficos
Autores principales: Li, Suhua, Li, Chaoqian, Li, Yaotang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5406454/
https://www.ncbi.nlm.nih.gov/pubmed/28503057
http://dx.doi.org/10.1186/s13660-017-1362-7
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author Li, Suhua
Li, Chaoqian
Li, Yaotang
author_facet Li, Suhua
Li, Chaoqian
Li, Yaotang
author_sort Li, Suhua
collection PubMed
description By estimating the ratio of the smallest component and the largest component of a Perron vector, we provide a new bound for the spectral radius of a nonnegative tensor. And it is proved that the proposed result improves the bound in (Li and Ng in Numer. Math. 130(2):315-335, 2015).
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spelling pubmed-54064542017-05-12 A new bound for the spectral radius of nonnegative tensors Li, Suhua Li, Chaoqian Li, Yaotang J Inequal Appl Research By estimating the ratio of the smallest component and the largest component of a Perron vector, we provide a new bound for the spectral radius of a nonnegative tensor. And it is proved that the proposed result improves the bound in (Li and Ng in Numer. Math. 130(2):315-335, 2015). Springer International Publishing 2017-04-26 2017 /pmc/articles/PMC5406454/ /pubmed/28503057 http://dx.doi.org/10.1186/s13660-017-1362-7 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
Li, Suhua
Li, Chaoqian
Li, Yaotang
A new bound for the spectral radius of nonnegative tensors
title A new bound for the spectral radius of nonnegative tensors
title_full A new bound for the spectral radius of nonnegative tensors
title_fullStr A new bound for the spectral radius of nonnegative tensors
title_full_unstemmed A new bound for the spectral radius of nonnegative tensors
title_short A new bound for the spectral radius of nonnegative tensors
title_sort new bound for the spectral radius of nonnegative tensors
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5406454/
https://www.ncbi.nlm.nih.gov/pubmed/28503057
http://dx.doi.org/10.1186/s13660-017-1362-7
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