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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
Fulltext Access
Citation statistics
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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