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 |
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