Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/6109
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | - |
dc.creator | Ng, M | - |
dc.creator | Qi, L | - |
dc.creator | Zhou, G | - |
dc.date.accessioned | 2014-12-11T08:24:51Z | - |
dc.date.available | 2014-12-11T08:24:51Z | - |
dc.identifier.issn | 0895-4798 | - |
dc.identifier.uri | http://hdl.handle.net/10397/6109 | - |
dc.language.iso | en | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.rights | © 2009 Society for Industrial and Applied Mathematics | en_US |
dc.subject | Spectral radius | en_US |
dc.subject | Nonnegative tensor | en_US |
dc.subject | Iterative method | en_US |
dc.subject | Higher-order Markov chains | en_US |
dc.title | Finding the largest eigenvalue of a nonnegative tensor | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 1090 | - |
dc.identifier.epage | 1099 | - |
dc.identifier.volume | 31 | - |
dc.identifier.issue | 3 | - |
dc.identifier.doi | 10.1137/09074838X | - |
dcterms.abstract | In 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.accessRights | open access | en_US |
dcterms.bibliographicCitation | SIAM journal on matrix analysis and applications, 2010, v. 31, no. 3, p. 1090–1099 | - |
dcterms.isPartOf | SIAM journal on matrix analysis and applications | - |
dcterms.issued | 2010 | - |
dc.identifier.isi | WOS:000271800100013 | - |
dc.identifier.scopus | 2-s2.0-72449208683 | - |
dc.identifier.eissn | 1095-7162 | - |
dc.identifier.rosgroupid | r49585 | - |
dc.description.ros | 2009-2010 > Academic research: refereed > Publication in refereed journal | - |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | OA_IR/PIRA | en_US |
dc.description.pubStatus | Published | en_US |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Ng_Largest_Eigenvalue_Tensor.pdf | 161.54 kB | Adobe PDF | View/Open |
Page views
170
Last Week
0
0
Last month
Citations as of Jul 3, 2022
Downloads
374
Citations as of Jul 3, 2022
SCOPUSTM
Citations
221
Last Week
3
3
Last month
4
4
Citations as of Jun 30, 2022
WEB OF SCIENCETM
Citations
230
Last Week
0
0
Last month
1
1
Citations as of Jun 30, 2022

Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.