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A COMPLETE CHARACTERIZATION OF STRONG DUALITY IN NONCONVEX OPTIMIZATION WITH A SINGLE CONSTRAINT

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dc.creatorFERNANDO FLORES BAZÁN
dc.date2012
dc.date.accessioned2025-01-10T14:29:21Z
dc.date.available2025-01-10T14:29:21Z
dc.date.issued2012
dc.description.abstractWE FIRST ESTABLISH SUFFICIENT CONDITIONS ENSURING STRONG DUALITY FOR CONE CONSTRAINED NONCONVEX OPTIMIZATION PROBLEMS UNDER A GENERALIZED SLATER-TYPE CONDITION. SUCH CONDITIONS ALLOW US TO COVER SITUATIONS WHERE RECENT RESULTS CANNOT BE APPLIED. AFTERWARDS, WE PROVIDE A NEW COMPLETE CHARACTERIZATION OF STRONG DUALITY FOR A PROBLEM WITH A SINGLE CONSTRAINT: SHOWING, IN PARTICULAR, THAT STRONG DUALITY STILL HOLDS WITHOUT THE STANDARD SLATER CONDITION. THIS YIELDS LAGRANGE MULTIPLIERS CHARACTERIZATIONS OF GLOBAL OPTIMALITY IN CASE OF (NOT NECESSARILY CONVEX) QUADRATIC HOMOGENEOUS FUNCTIONS AFTER APPLYING A GENERALIZED JOINT-RANGE CONVEXITY RESULT. FURTHERMORE, A RESULT WHICH REDUCES A CONSTRAINED MINIMIZATION PROBLEM INTO ONE WITH A SINGLE CONSTRAINT UNDER GENERALIZED CONVEXITY ASSUMPTIONS, IS ALSO PRESENTED.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s10898-011-9673-6
dc.identifier.issn1573-2916
dc.identifier.issn0925-5001
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/7654
dc.languagespa
dc.publisherJOURNAL OF GLOBAL OPTIMIZATION
dc.relation.uri10.1007/s10898-011-9673-6
dc.rightsPUBLICADA
dc.subjectSTRONG DUALITY
dc.subjectNONCONVEX OPTIMIZATION
dc.titleA COMPLETE CHARACTERIZATION OF STRONG DUALITY IN NONCONVEX OPTIMIZATION WITH A SINGLE CONSTRAINT
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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