Some inequalities for the Fan product of M-tensors

In this paper, we investigate some inequalities for the Fan product of M-tensors. We propose exact characterizations of M-tensors and establish some inequalities on the minimum eigenvalue for the Fan product of two M-tensors. Furthermore, the inclusion relations among them are discussed. Numerical e...

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Detalles Bibliográficos
Autores principales: Wang, Gang, Wang, Yanan, Zhang, Yuan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154051/
https://www.ncbi.nlm.nih.gov/pubmed/30839669
http://dx.doi.org/10.1186/s13660-018-1853-1
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author Wang, Gang
Wang, Yanan
Zhang, Yuan
author_facet Wang, Gang
Wang, Yanan
Zhang, Yuan
author_sort Wang, Gang
collection PubMed
description In this paper, we investigate some inequalities for the Fan product of M-tensors. We propose exact characterizations of M-tensors and establish some inequalities on the minimum eigenvalue for the Fan product of two M-tensors. Furthermore, the inclusion relations among them are discussed. Numerical examples show the validity of the conclusions.
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spelling pubmed-61540512018-10-10 Some inequalities for the Fan product of M-tensors Wang, Gang Wang, Yanan Zhang, Yuan J Inequal Appl Research In this paper, we investigate some inequalities for the Fan product of M-tensors. We propose exact characterizations of M-tensors and establish some inequalities on the minimum eigenvalue for the Fan product of two M-tensors. Furthermore, the inclusion relations among them are discussed. Numerical examples show the validity of the conclusions. Springer International Publishing 2018-09-24 2018 /pmc/articles/PMC6154051/ /pubmed/30839669 http://dx.doi.org/10.1186/s13660-018-1853-1 Text en © The Author(s) 2018 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, Gang
Wang, Yanan
Zhang, Yuan
Some inequalities for the Fan product of M-tensors
title Some inequalities for the Fan product of M-tensors
title_full Some inequalities for the Fan product of M-tensors
title_fullStr Some inequalities for the Fan product of M-tensors
title_full_unstemmed Some inequalities for the Fan product of M-tensors
title_short Some inequalities for the Fan product of M-tensors
title_sort some inequalities for the fan product of m-tensors
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154051/
https://www.ncbi.nlm.nih.gov/pubmed/30839669
http://dx.doi.org/10.1186/s13660-018-1853-1
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