An S-type singular value inclusion set for rectangular tensors

An S-type singular value inclusion set for rectangular tensors is given. Based on the set, new upper and lower bounds for the largest singular value of nonnegative rectangular tensors are obtained and proved to be sharper than some existing results. Numerical examples are given to verify the theoret...

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Detalles Bibliográficos
Autor principal: Sang, Caili
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5488072/
https://www.ncbi.nlm.nih.gov/pubmed/28680244
http://dx.doi.org/10.1186/s13660-017-1421-0
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author Sang, Caili
author_facet Sang, Caili
author_sort Sang, Caili
collection PubMed
description An S-type singular value inclusion set for rectangular tensors is given. Based on the set, new upper and lower bounds for the largest singular value of nonnegative rectangular tensors are obtained and proved to be sharper than some existing results. Numerical examples are given to verify the theoretical results.
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spelling pubmed-54880722017-07-03 An S-type singular value inclusion set for rectangular tensors Sang, Caili J Inequal Appl Research An S-type singular value inclusion set for rectangular tensors is given. Based on the set, new upper and lower bounds for the largest singular value of nonnegative rectangular tensors are obtained and proved to be sharper than some existing results. Numerical examples are given to verify the theoretical results. Springer International Publishing 2017-06-17 2017 /pmc/articles/PMC5488072/ /pubmed/28680244 http://dx.doi.org/10.1186/s13660-017-1421-0 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
Sang, Caili
An S-type singular value inclusion set for rectangular tensors
title An S-type singular value inclusion set for rectangular tensors
title_full An S-type singular value inclusion set for rectangular tensors
title_fullStr An S-type singular value inclusion set for rectangular tensors
title_full_unstemmed An S-type singular value inclusion set for rectangular tensors
title_short An S-type singular value inclusion set for rectangular tensors
title_sort s-type singular value inclusion set for rectangular tensors
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5488072/
https://www.ncbi.nlm.nih.gov/pubmed/28680244
http://dx.doi.org/10.1186/s13660-017-1421-0
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