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Article: Finding the largest eigenvalue of a nonnegative tensor
Title | Finding the largest eigenvalue of a nonnegative tensor |
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Authors | |
Keywords | Nonnegative tensor Spectral radius Higher-order markov chains Iterative method |
Issue Date | 2009 |
Citation | SIAM Journal on Matrix Analysis and Applications, 2009, v. 31, n. 3, p. 1090-1099 How to Cite? |
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. © 2009 Society for Industrial and Applied Mathematics. |
Persistent Identifier | http://hdl.handle.net/10722/276851 |
ISSN | 2023 Impact Factor: 1.5 2023 SCImago Journal Rankings: 1.042 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Ng, Michael | - |
dc.contributor.author | Qi, Liqun | - |
dc.contributor.author | Zhou, Guanglu | - |
dc.date.accessioned | 2019-09-18T08:34:51Z | - |
dc.date.available | 2019-09-18T08:34:51Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | SIAM Journal on Matrix Analysis and Applications, 2009, v. 31, n. 3, p. 1090-1099 | - |
dc.identifier.issn | 0895-4798 | - |
dc.identifier.uri | http://hdl.handle.net/10722/276851 | - |
dc.description.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. © 2009 Society for Industrial and Applied Mathematics. | - |
dc.language | eng | - |
dc.relation.ispartof | SIAM Journal on Matrix Analysis and Applications | - |
dc.subject | Nonnegative tensor | - |
dc.subject | Spectral radius | - |
dc.subject | Higher-order markov chains | - |
dc.subject | Iterative method | - |
dc.title | Finding the largest eigenvalue of a nonnegative tensor | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1137/09074838X | - |
dc.identifier.scopus | eid_2-s2.0-72449208683 | - |
dc.identifier.volume | 31 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 1090 | - |
dc.identifier.epage | 1099 | - |
dc.identifier.eissn | 1095-7162 | - |
dc.identifier.isi | WOS:000271800100013 | - |
dc.identifier.issnl | 0895-4798 | - |