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Article: Finding the largest eigenvalue of a nonnegative tensor

TitleFinding the largest eigenvalue of a nonnegative tensor
Authors
Ng, MichaelQi, LiqunZhou, Guanglu
KeywordsNonnegative tensor
Spectral radius
Higher-order markov chains
Iterative method
Issue Date2009
Citation
SIAM Journal on Matrix Analysis and Applications, 2009, v. 31, n. 3, p. 1090-1099 How to Cite?
DOI: http://dx.doi.org/10.1137/09074838X
AbstractIn this paper we propose an iterative method for calculating the largest eigenvalue of an irreducible nonnegative tensor. This method is an extension of a method of Collatz (1942) for calculating the spectral radius of an irreducible nonnegative matrix. Numerical results show that our proposed method is promising. We also apply the method to studying higher-order Markov chains. © 2009 Society for Industrial and Applied Mathematics.
Persistent Identifierhttp://hdl.handle.net/10722/276851
ISSN
0895-4798
2023 Impact Factor: 1.5
2023 SCImago Journal Rankings: 1.042
ISI Accession Number ID
WOS:000271800100013

 

DC FieldValueLanguage
dc.contributor.authorNg, Michael-
dc.contributor.authorQi, Liqun-
dc.contributor.authorZhou, Guanglu-
dc.date.accessioned2019-09-18T08:34:51Z-
dc.date.available2019-09-18T08:34:51Z-
dc.date.issued2009-
dc.identifier.citationSIAM Journal on Matrix Analysis and Applications, 2009, v. 31, n. 3, p. 1090-1099-
dc.identifier.issn0895-4798-
dc.identifier.urihttp://hdl.handle.net/10722/276851-
dc.description.abstractIn this paper we propose an iterative method for calculating the largest eigenvalue of an irreducible nonnegative tensor. This method is an extension of a method of Collatz (1942) for calculating the spectral radius of an irreducible nonnegative matrix. Numerical results show that our proposed method is promising. We also apply the method to studying higher-order Markov chains. © 2009 Society for Industrial and Applied Mathematics.-
dc.languageeng-
dc.relation.ispartofSIAM Journal on Matrix Analysis and Applications-
dc.subjectNonnegative tensor-
dc.subjectSpectral radius-
dc.subjectHigher-order markov chains-
dc.subjectIterative method-
dc.titleFinding the largest eigenvalue of a nonnegative tensor-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1137/09074838X-
dc.identifier.scopuseid_2-s2.0-72449208683-
dc.identifier.volume31-
dc.identifier.issue3-
dc.identifier.spage1090-
dc.identifier.epage1099-
dc.identifier.eissn1095-7162-
dc.identifier.isiWOS:000271800100013-
dc.identifier.issnl0895-4798-

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