Some Properties of the Strong Primitivity of Nonnegative Tensors

Some Properties of the Strong Primitivity of Nonnegative Tensors

We show that an order m dimension 2 tensor is primitive if and only if its majorization matrix is primitive, and then we obtain the characterization of order m dimension 2 strongly primitive tensors and the bound of the strongly primitive degree. Furthermore, we study the properties of strongly prim...

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Main Authors: Lihua You, Yafei Chen, Pingzhi Yuan
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2018/5241490
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spelling doaj-44df6115e54b4d1196bc7ef94be782502020-11-24T23:14:19ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422018-01-01201810.1155/2018/52414905241490Some Properties of the Strong Primitivity of Nonnegative TensorsLihua You0Yafei Chen1Pingzhi Yuan2School of Mathematical Sciences, South China Normal University, Guangzhou 510631, ChinaSchool of Mathematical Sciences, South China Normal University, Guangzhou 510631, ChinaSchool of Mathematical Sciences, South China Normal University, Guangzhou 510631, ChinaWe show that an order m dimension 2 tensor is primitive if and only if its majorization matrix is primitive, and then we obtain the characterization of order m dimension 2 strongly primitive tensors and the bound of the strongly primitive degree. Furthermore, we study the properties of strongly primitive tensors with n≥3 and propose some problems for further research.http://dx.doi.org/10.1155/2018/5241490
collection DOAJ
language English
format Article
sources DOAJ
author Lihua You
Yafei Chen
Pingzhi Yuan
spellingShingle Lihua You
Yafei Chen
Pingzhi Yuan
Some Properties of the Strong Primitivity of Nonnegative Tensors
Journal of Applied Mathematics
author_facet Lihua You
Yafei Chen
Pingzhi Yuan
author_sort Lihua You
title Some Properties of the Strong Primitivity of Nonnegative Tensors
title_short Some Properties of the Strong Primitivity of Nonnegative Tensors
title_full Some Properties of the Strong Primitivity of Nonnegative Tensors
title_fullStr Some Properties of the Strong Primitivity of Nonnegative Tensors
title_full_unstemmed Some Properties of the Strong Primitivity of Nonnegative Tensors
title_sort some properties of the strong primitivity of nonnegative tensors
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2018-01-01
description We show that an order m dimension 2 tensor is primitive if and only if its majorization matrix is primitive, and then we obtain the characterization of order m dimension 2 strongly primitive tensors and the bound of the strongly primitive degree. Furthermore, we study the properties of strongly primitive tensors with n≥3 and propose some problems for further research.
url http://dx.doi.org/10.1155/2018/5241490
work_keys_str_mv AT lihuayou somepropertiesofthestrongprimitivityofnonnegativetensors
AT yafeichen somepropertiesofthestrongprimitivityofnonnegativetensors
AT pingzhiyuan somepropertiesofthestrongprimitivityofnonnegativetensors
_version_ 1725595007319015424

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