UM
On the z-eigenvalue bounds for a tensor
Li,Wen1; Liu,Weihui2; Vong,Seakweng2
2018
Source PublicationNumerical Mathematics
ISSN1004-8979
Volume11Issue:4Pages:810-826
AbstractIn this paper, we first propose a Z-eigenvalue of a tensor, which includes the Z- and Z-eigenvalue as its special case, and then present a Z-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.
KeywordIrreducibility Nonnegative tensors Z-spectral radius
DOI10.4208/nmtma.2018.s08
URLView the original
Language英语
Scopus ID2-s2.0-85072071689
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Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorLi,Wen
Affiliation1.School of Mathematical Sciences,South China Normal University,Guangzhou,510631,China
2.Department of Mathematics,University of Macau,Macao
Recommended Citation
GB/T 7714
Li,Wen,Liu,Weihui,Vong,Seakweng. On the z-eigenvalue bounds for a tensor[J]. Numerical Mathematics,2018,11(4):810-826.
APA Li,Wen,Liu,Weihui,&Vong,Seakweng.(2018).On the z-eigenvalue bounds for a tensor.Numerical Mathematics,11(4),810-826.
MLA Li,Wen,et al."On the z-eigenvalue bounds for a tensor".Numerical Mathematics 11.4(2018):810-826.
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