Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/6109
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dc.contributorDepartment of Applied Mathematics-
dc.creatorNg, M-
dc.creatorQi, L-
dc.creatorZhou, G-
dc.date.accessioned2014-12-11T08:24:51Z-
dc.date.available2014-12-11T08:24:51Z-
dc.identifier.issn0895-4798-
dc.identifier.urihttp://hdl.handle.net/10397/6109-
dc.language.isoenen_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.rights© 2009 Society for Industrial and Applied Mathematicsen_US
dc.subjectSpectral radiusen_US
dc.subjectNonnegative tensoren_US
dc.subjectIterative methoden_US
dc.subjectHigher-order Markov chainsen_US
dc.titleFinding the largest eigenvalue of a nonnegative tensoren_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage1090-
dc.identifier.epage1099-
dc.identifier.volume31-
dc.identifier.issue3-
dc.identifier.doi10.1137/09074838X-
dcterms.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.-
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationSIAM journal on matrix analysis and applications, 2010, v. 31, no. 3, p. 1090–1099-
dcterms.isPartOfSIAM journal on matrix analysis and applications-
dcterms.issued2010-
dc.identifier.isiWOS:000271800100013-
dc.identifier.scopus2-s2.0-72449208683-
dc.identifier.eissn1095-7162-
dc.identifier.rosgroupidr49585-
dc.description.ros2009-2010 > Academic research: refereed > Publication in refereed journal-
dc.description.oaVersion of Recorden_US
dc.identifier.FolderNumberOA_IR/PIRAen_US
dc.description.pubStatusPublisheden_US
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