A new S-type upper bound for the largest singular value of nonnegative rectangular tensors

By breaking [Formula: see text] into disjoint subsets S and its complement, a new S-type upper bound for the largest singular value of nonnegative rectangular tensors is given and proved to be better than some existing ones. Numerical examples are given to verify the theoretical results.

Detalles Bibliográficos
Autores principales: Zhao, Jianxing, 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/PMC5423925/
https://www.ncbi.nlm.nih.gov/pubmed/28553055
http://dx.doi.org/10.1186/s13660-017-1382-3
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author Zhao, Jianxing
Sang, Caili
author_facet Zhao, Jianxing
Sang, Caili
author_sort Zhao, Jianxing
collection PubMed
description By breaking [Formula: see text] into disjoint subsets S and its complement, a new S-type upper bound for the largest singular value of nonnegative rectangular tensors is given and proved to be better than some existing ones. Numerical examples are given to verify the theoretical results.
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spelling pubmed-54239252017-05-25 A new S-type upper bound for the largest singular value of nonnegative rectangular tensors Zhao, Jianxing Sang, Caili J Inequal Appl Research By breaking [Formula: see text] into disjoint subsets S and its complement, a new S-type upper bound for the largest singular value of nonnegative rectangular tensors is given and proved to be better than some existing ones. Numerical examples are given to verify the theoretical results. Springer International Publishing 2017-05-09 2017 /pmc/articles/PMC5423925/ /pubmed/28553055 http://dx.doi.org/10.1186/s13660-017-1382-3 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
Zhao, Jianxing
Sang, Caili
A new S-type upper bound for the largest singular value of nonnegative rectangular tensors
title A new S-type upper bound for the largest singular value of nonnegative rectangular tensors
title_full A new S-type upper bound for the largest singular value of nonnegative rectangular tensors
title_fullStr A new S-type upper bound for the largest singular value of nonnegative rectangular tensors
title_full_unstemmed A new S-type upper bound for the largest singular value of nonnegative rectangular tensors
title_short A new S-type upper bound for the largest singular value of nonnegative rectangular tensors
title_sort new s-type upper bound for the largest singular value of nonnegative rectangular tensors
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5423925/
https://www.ncbi.nlm.nih.gov/pubmed/28553055
http://dx.doi.org/10.1186/s13660-017-1382-3
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