Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/4758
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dc.contributorDepartment of Applied Mathematics-
dc.creatorPolak, E-
dc.creatorQi, L-
dc.creatorSun, D-
dc.date.accessioned2014-12-11T08:26:58Z-
dc.date.available2014-12-11T08:26:58Z-
dc.identifier.issn1052-6234-
dc.identifier.urihttp://hdl.handle.net/10397/4758-
dc.language.isoenen_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.rights© 2001 Society for Industrial and Applied Mathematicsen_US
dc.subjectGeneralized min-max problemsen_US
dc.subjectConsistent approximationsen_US
dc.subjectOptimality functionsen_US
dc.subjectSecond-order methodsen_US
dc.subjectSuperlinear convergenceen_US
dc.titleSecond-order algorithms for generalized finite and semi-infinite min-max problemsen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage937-
dc.identifier.epage961-
dc.identifier.volume11-
dc.identifier.issue4-
dc.identifier.doi10.1137/S1052623499358951-
dcterms.abstractWe present two second-order algorithms, one for solving a class of finite generalized min-max problems and one for solving semi-infinite generalized min-max problems. Our algorithms make use of optimality functions based on second-order approximations to the cost function and of corresponding search direction functions. Under reasonable assumptions we prove that both of these algorithms converge Q-superlinearly, with rate at least 3/2.-
dcterms.abstractThis paper is a continuation of [E. Polak, L. Qi, and D. Sun, Comput. Optim. Appl., 13 (1999), pp. 137–161].-
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationSIAM journal on optimization, 2001, v. 11, no. 4, p. 937-961-
dcterms.isPartOfSIAM journal on optimization-
dcterms.issued2001-
dc.identifier.isiWOS:000169069900005-
dc.identifier.scopus2-s2.0-0035602811-
dc.identifier.eissn1095-7189-
dc.identifier.rosgroupidr11159-
dc.description.ros2001-2002 > 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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