Some inequalities on the spectral radius of nonnegative tensors

The eigenvalues and the spectral radius of nonnegative tensors have been extensively studied in recent years. In this paper, we investigate the analytic properties of nonnegative tensors and give some inequalities on the spectral radius.

Bibliographic Details
Main Authors:	Ma Chao, Liang Hao, Xie Qimiao, Wang Pengcheng
Format:	Article
Language:	English
Published:	De Gruyter 2020-05-01
Series:	Open Mathematics
Subjects:	nonnegative tensor spectral radius continuity hadamard product 15a18 15a39 15a69
Online Access:	https://doi.org/10.1515/math-2020-0143

id	doaj-50cbd90e216c43dabce28dabd94faf3a
record_format	Article
spelling	doaj-50cbd90e216c43dabce28dabd94faf3a2021-09-06T19:20:13ZengDe GruyterOpen Mathematics2391-54552020-05-0118126226910.1515/math-2020-0143math-2020-0143Some inequalities on the spectral radius of nonnegative tensorsMa Chao0Liang Hao1Xie Qimiao2Wang Pengcheng3School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai200240, ChinaDepartment of Mathematics, East China Normal University, Shanghai200241, ChinaCollege of Ocean Science and Engineering, Shanghai Maritime University, Shanghai201306, ChinaCollege of Ocean Science and Engineering, Shanghai Maritime University, Shanghai201306, ChinaThe eigenvalues and the spectral radius of nonnegative tensors have been extensively studied in recent years. In this paper, we investigate the analytic properties of nonnegative tensors and give some inequalities on the spectral radius.https://doi.org/10.1515/math-2020-0143nonnegative tensorspectral radiuscontinuityhadamard product15a1815a3915a69
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ma Chao Liang Hao Xie Qimiao Wang Pengcheng
spellingShingle	Ma Chao Liang Hao Xie Qimiao Wang Pengcheng Some inequalities on the spectral radius of nonnegative tensors Open Mathematics nonnegative tensor spectral radius continuity hadamard product 15a18 15a39 15a69
author_facet	Ma Chao Liang Hao Xie Qimiao Wang Pengcheng
author_sort	Ma Chao
title	Some inequalities on the spectral radius of nonnegative tensors
title_short	Some inequalities on the spectral radius of nonnegative tensors
title_full	Some inequalities on the spectral radius of nonnegative tensors
title_fullStr	Some inequalities on the spectral radius of nonnegative tensors
title_full_unstemmed	Some inequalities on the spectral radius of nonnegative tensors
title_sort	some inequalities on the spectral radius of nonnegative tensors
publisher	De Gruyter
series	Open Mathematics
issn	2391-5455
publishDate	2020-05-01
description	The eigenvalues and the spectral radius of nonnegative tensors have been extensively studied in recent years. In this paper, we investigate the analytic properties of nonnegative tensors and give some inequalities on the spectral radius.
topic	nonnegative tensor spectral radius continuity hadamard product 15a18 15a39 15a69
url	https://doi.org/10.1515/math-2020-0143
work_keys_str_mv	AT machao someinequalitiesonthespectralradiusofnonnegativetensors AT lianghao someinequalitiesonthespectralradiusofnonnegativetensors AT xieqimiao someinequalitiesonthespectralradiusofnonnegativetensors AT wangpengcheng someinequalitiesonthespectralradiusofnonnegativetensors
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Some inequalities on the spectral radius of nonnegative tensors

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