Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/5954
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | - |
dc.creator | Zhang, X | - |
dc.creator | Ling, C | - |
dc.creator | Qi, L | - |
dc.date.accessioned | 2014-12-11T08:24:28Z | - |
dc.date.available | 2014-12-11T08:24:28Z | - |
dc.identifier.issn | 0895-4798 | - |
dc.identifier.uri | http://hdl.handle.net/10397/5954 | - |
dc.language.iso | en | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.rights | © 2012 Society for Industrial and Applied Mathematics | en_US |
dc.subject | Symmetric tensor | en_US |
dc.subject | The best rank-1 approximation | en_US |
dc.subject | The best symmetric rank-1 approximation | en_US |
dc.subject | Power algorithm | en_US |
dc.title | The best rank-1 approximation of a symmetric tensor and related spherical optimization problems | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 806 | - |
dc.identifier.epage | 821 | - |
dc.identifier.volume | 33 | - |
dc.identifier.issue | 3 | - |
dc.identifier.doi | 10.1137/110835335 | - |
dcterms.abstract | In this paper, we show that for a symmetric tensor, its best symmetric rank-1 approximation is its best rank-1 approximation. Based on this result, a positive lower bound for the best rank-1 approximation ratio of a symmetric tensor is given. Furthermore, a higher order polynomial spherical optimization problem can be reformulated as a multilinear spherical optimization problem. Then, we present a modified power algorithm for solving the homogeneous polynomial spherical optimization problem. Numerical results are presented, illustrating the effectiveness of the proposed algorithm. | - |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | SIAM journal on matrix analysis and applications, 2012, v. 33, no. 3, p. 806–821 | - |
dcterms.isPartOf | SIAM journal on matrix analysis and applications | - |
dcterms.issued | 2012 | - |
dc.identifier.isi | WOS:000310150300006 | - |
dc.identifier.scopus | 2-s2.0-84867305742 | - |
dc.identifier.eissn | 1095-7162 | - |
dc.identifier.rosgroupid | r66763 | - |
dc.description.ros | 2012-2013 > 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 | |
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Zhang_Best_Rank-1_Approximation.pdf | 258.49 kB | Adobe PDF | View/Open |
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