Bounds for the M-spectral radius of a fourth-order partially symmetric tensor

M-eigenvalues of fourth-order partially symmetric tensors play an important role in many real fields such as quantum entanglement and nonlinear elastic materials analysis. In this paper, we give two bounds for the maximal absolute value of all the M-eigenvalues (called the M-spectral radius) of a fo...

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Detalles Bibliográficos
Autores principales: Li, Suhua, Li, Yaotang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5766734/
https://www.ncbi.nlm.nih.gov/pubmed/29375235
http://dx.doi.org/10.1186/s13660-018-1610-5
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author Li, Suhua
Li, Yaotang
author_facet Li, Suhua
Li, Yaotang
author_sort Li, Suhua
collection PubMed
description M-eigenvalues of fourth-order partially symmetric tensors play an important role in many real fields such as quantum entanglement and nonlinear elastic materials analysis. In this paper, we give two bounds for the maximal absolute value of all the M-eigenvalues (called the M-spectral radius) of a fourth-order partially symmetric tensor and discuss the relation of them. A numerical example is given to explain the proposed results.
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spelling pubmed-57667342018-01-25 Bounds for the M-spectral radius of a fourth-order partially symmetric tensor Li, Suhua Li, Yaotang J Inequal Appl Research M-eigenvalues of fourth-order partially symmetric tensors play an important role in many real fields such as quantum entanglement and nonlinear elastic materials analysis. In this paper, we give two bounds for the maximal absolute value of all the M-eigenvalues (called the M-spectral radius) of a fourth-order partially symmetric tensor and discuss the relation of them. A numerical example is given to explain the proposed results. Springer International Publishing 2018-01-12 2018 /pmc/articles/PMC5766734/ /pubmed/29375235 http://dx.doi.org/10.1186/s13660-018-1610-5 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
Li, Suhua
Li, Yaotang
Bounds for the M-spectral radius of a fourth-order partially symmetric tensor
title Bounds for the M-spectral radius of a fourth-order partially symmetric tensor
title_full Bounds for the M-spectral radius of a fourth-order partially symmetric tensor
title_fullStr Bounds for the M-spectral radius of a fourth-order partially symmetric tensor
title_full_unstemmed Bounds for the M-spectral radius of a fourth-order partially symmetric tensor
title_short Bounds for the M-spectral radius of a fourth-order partially symmetric tensor
title_sort bounds for the m-spectral radius of a fourth-order partially symmetric tensor
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5766734/
https://www.ncbi.nlm.nih.gov/pubmed/29375235
http://dx.doi.org/10.1186/s13660-018-1610-5
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AT liyaotang boundsforthemspectralradiusofafourthorderpartiallysymmetrictensor

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