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dc.contributor.authorChang, K.
dc.contributor.authorQi, L.
dc.contributor.authorZhou, Guanglu
dc.date.accessioned2017-01-30T12:59:25Z
dc.date.available2017-01-30T12:59:25Z
dc.date.created2011-03-23T20:01:27Z
dc.date.issued2010
dc.identifier.citationChang, Kungching and Qi, Liqun and Zhou, Guanglu. 2010. Singular values of a real rectangular tensor. Journal of Mathematical Analysis and Applications. 370 (1): pp. 284-294.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/27506
dc.identifier.doi10.1016/j.jmaa.2010.04.037
dc.description.abstract

Real rectangular tensors arise from the strong ellipticity condition problem in solid mechanics and the entanglement problem in quantum physics. In this paper, we systematically study properties of singular values of a real rectangular tensor, and give an algorithm to find the largest singular value of a nonnegative rectangular tensor. Numerical results show that the algorithm is efficient.

dc.publisherElsevier
dc.subjectPartially symmetric tensor
dc.subjectSingular value
dc.subjectAlgorithm
dc.subjectNonnegative tensor
dc.subjectRectangular tensor
dc.titleSingular values of a real rectangular tensor
dc.typeJournal Article
dcterms.source.volume370
dcterms.source.startPage284
dcterms.source.endPage294
dcterms.source.issn0022247X
dcterms.source.titleJournal of Mathematical Analysis and Applications
curtin.note

NOTICE: This is the author’s version of a work that was accepted for publication in Journal of Mathematical Analysis and Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Mathematical Analysis and Applications [370, 1, 2010] DOI 10.1016/j.jmaa.2010.04.037

curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusOpen access


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