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On the Z-Eigenvalue Bounds for a Tensor
Li, Wen1; Liu, Weihui2; Vong, Seakweng2
2018-11
Conference NameNUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
Source PublicationWorkshop on Computational Mathematics and Scientific Computing
Volume11
Issue4
Pages810-826
Conference DateMAY 20-22, 2017
Conference PlaceUniv Macau, Macau, PEOPLES R CHINA
Publication PlaceROOM 3208, CENTRAL PLAZA, 18 HARBOUR RD, WANCHAI, HONG KONG 00000, PEOPLES R CHINA
PublisherGLOBAL SCIENCE PRESS
Abstract

In this paper, we first propose a Z(p)-eigenvalue of a tensor, which includes the Z(1)- and Z(2)-eigenvalue as its special case, and then present a Z(p)-eigenvalue bound. In particular, we give a Z-spectral radius bound for an irreducible nonnegative tensor via the spectral radius of a nonnegative matrix. The proposed bounds improve some existing ones. Some numerical examples are given to show the validity of the proposed bounds.

KeywordNonnegative Tensors Z-spectral Radius Irreducibility
DOI10.4208/nmtma.2018.s08
URLView the original
Indexed BySCI ; CPCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000438884900009
The Source to ArticleWOS
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Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeConference paper
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
2.Department of Mathematics, University of Macau, Macau, China
Recommended Citation
GB/T 7714
Li, Wen,Liu, Weihui,Vong, Seakweng. On the Z-Eigenvalue Bounds for a Tensor[C]. ROOM 3208, CENTRAL PLAZA, 18 HARBOUR RD, WANCHAI, HONG KONG 00000, PEOPLES R CHINA:GLOBAL SCIENCE PRESS,2018:810-826.
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