Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/7014
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dc.contributorDepartment of Applied Mathematics-
dc.creatorChen, X-
dc.creatorNiu, L-
dc.creatorYuan, Y-
dc.date.accessioned2014-12-11T08:26:56Z-
dc.date.available2014-12-11T08:26:56Z-
dc.identifier.issn1052-6234-
dc.identifier.urihttp://hdl.handle.net/10397/7014-
dc.language.isoenen_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.rights© 2013 Society for Industrial and Applied Mathematicsen_US
dc.subjectNonsmooth nonconvex optimizationen_US
dc.subjectSmoothing methodsen_US
dc.subjectConvergenceen_US
dc.subjectRegularized optimizationen_US
dc.subjectPenalty functionen_US
dc.subjectNon-Lipschitzen_US
dc.subjectTrust region Newton methoden_US
dc.titleOptimality conditions and a smoothing trust region newton method for nonlipschitz optimizationen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage1528-
dc.identifier.epage1552-
dc.identifier.volume23-
dc.identifier.issue3-
dc.identifier.doi10.1137/120871390-
dcterms.abstractRegularized minimization problems with nonconvex, nonsmooth, perhaps non-Lipschitz penalty functions have attracted considerable attention in recent years, owing to their wide applications in image restoration, signal reconstruction, and variable selection. In this paper, we derive affine-scaled second order necessary and sufficient conditions for local minimizers of such minimization problems. Moreover, we propose a global convergent smoothing trust region Newton method which can find a point satisfying the affine-scaled second order necessary optimality condition from any starting point. Numerical examples are given to demonstrate the effectiveness of the smoothing trust region Newton method.-
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationSIAM Journal on optimization, 2013, v. 23, no. 3, p. 1528–1552-
dcterms.isPartOfSIAM Journal on optimization-
dcterms.issued2013-
dc.identifier.isiWOS:000325094000007-
dc.identifier.scopus2-s2.0-84886296616-
dc.identifier.eissn1095-7189-
dc.identifier.rosgroupidr69606-
dc.description.ros2013-2014 > Academic research: refereed > Publication in refereed journal-
dc.description.oaVersion of Recorden_US
dc.identifier.FolderNumberOA_IR/PIRAen_US
dc.description.pubStatusPublisheden_US
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