“Backward differential flow” may not converge to a global minimizer of polynomials

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buir.contributor.authorArıkan, Orhan
buir.contributor.orcidArıkan, Orhan|0000-0002-3698-8888
dc.citation.epage408en_US
dc.citation.issueNumber1en_US
dc.citation.spage401en_US
dc.citation.volumeNumber167en_US
dc.contributor.authorArıkan, Orhanen_US
dc.contributor.authorBurachik, R. S.en_US
dc.contributor.authorKaya, C. Y.en_US
dc.date.accessioned2016-02-08T09:33:29Z
dc.date.available2016-02-08T09:33:29Z
dc.date.issued2015en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractWe provide a simple counter-example to prove and illustrate that the backward differential flow approach, proposed by Zhu, Zhao and Liu for finding a global minimizer of coercive even-degree polynomials, can converge to a local minimizer rather than a global minimizer. We provide additional counter-examples to stress that convergence to a local minimum via the backward differential flow method is not a rare occurence.en_US
dc.identifier.doi10.1007/s10957-015-0727-7en_US
dc.identifier.issn0022-3239
dc.identifier.urihttp://hdl.handle.net/11693/20704
dc.language.isoEnglishen_US
dc.publisherSpringer New York LLCen_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/s10957-015-0727-7en_US
dc.source.titleJournal of Optimization Theory and Applicationsen_US
dc.subjectGlobal optimizationen_US
dc.subjectPolynomial optimizationen_US
dc.subjectTrajectory methodsen_US
dc.title“Backward differential flow” may not converge to a global minimizer of polynomialsen_US
dc.typeArticleen_US

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