New iterative criteria for strong [Formula: see text] -tensors and an application

Strong [Formula: see text] -tensors play an important role in identifying the positive definiteness of even-order real symmetric tensors. In this paper, some new iterative criteria for identifying strong [Formula: see text] -tensors are obtained. These criteria only depend on the elements of the ten...

Descripción completa

Detalles Bibliográficos
Autores principales: Cui, Jingjing, Peng, Guohua, Lu, Quan, Huang, Zhengge
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5329116/
https://www.ncbi.nlm.nih.gov/pubmed/28298873
http://dx.doi.org/10.1186/s13660-017-1323-1
_version_ 1782510995084673024
author Cui, Jingjing
Peng, Guohua
Lu, Quan
Huang, Zhengge
author_facet Cui, Jingjing
Peng, Guohua
Lu, Quan
Huang, Zhengge
author_sort Cui, Jingjing
collection PubMed
description Strong [Formula: see text] -tensors play an important role in identifying the positive definiteness of even-order real symmetric tensors. In this paper, some new iterative criteria for identifying strong [Formula: see text] -tensors are obtained. These criteria only depend on the elements of the tensors, and it can be more effective to determine whether a given tensor is a strong [Formula: see text] -tensor or not by increasing the number of iterations. Some numerical results show the feasibility and effectiveness of the algorithm.
format Online
Article
Text
id pubmed-5329116
institution National Center for Biotechnology Information
language English
publishDate 2017
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-53291162017-03-13 New iterative criteria for strong [Formula: see text] -tensors and an application Cui, Jingjing Peng, Guohua Lu, Quan Huang, Zhengge J Inequal Appl Research Strong [Formula: see text] -tensors play an important role in identifying the positive definiteness of even-order real symmetric tensors. In this paper, some new iterative criteria for identifying strong [Formula: see text] -tensors are obtained. These criteria only depend on the elements of the tensors, and it can be more effective to determine whether a given tensor is a strong [Formula: see text] -tensor or not by increasing the number of iterations. Some numerical results show the feasibility and effectiveness of the algorithm. Springer International Publishing 2017-02-27 2017 /pmc/articles/PMC5329116/ /pubmed/28298873 http://dx.doi.org/10.1186/s13660-017-1323-1 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
Cui, Jingjing
Peng, Guohua
Lu, Quan
Huang, Zhengge
New iterative criteria for strong [Formula: see text] -tensors and an application
title New iterative criteria for strong [Formula: see text] -tensors and an application
title_full New iterative criteria for strong [Formula: see text] -tensors and an application
title_fullStr New iterative criteria for strong [Formula: see text] -tensors and an application
title_full_unstemmed New iterative criteria for strong [Formula: see text] -tensors and an application
title_short New iterative criteria for strong [Formula: see text] -tensors and an application
title_sort new iterative criteria for strong [formula: see text] -tensors and an application
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5329116/
https://www.ncbi.nlm.nih.gov/pubmed/28298873
http://dx.doi.org/10.1186/s13660-017-1323-1
work_keys_str_mv AT cuijingjing newiterativecriteriaforstrongformulaseetexttensorsandanapplication
AT pengguohua newiterativecriteriaforstrongformulaseetexttensorsandanapplication
AT luquan newiterativecriteriaforstrongformulaseetexttensorsandanapplication
AT huangzhengge newiterativecriteriaforstrongformulaseetexttensorsandanapplication

Ejemplares similares