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The Darboux point

dc.contributor.authorMereau, P. M.en_US
dc.contributor.authorPowers, William Francisen_US
dc.date.accessioned2006-09-11T15:47:38Z
dc.date.available2006-09-11T15:47:38Z
dc.date.issued1975-12en_US
dc.identifier.citationMereau, P. M.; Powers, W. F.; (1975). "The Darboux point." Journal of Optimization Theory and Applications 17 (5-6): 545-559. <http://hdl.handle.net/2027.42/45205>en_US
dc.identifier.issn0022-3239en_US
dc.identifier.issn1573-2878en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/45205
dc.description.abstractA theory of global optimality based upon the Darboux-point concept is developed. A definition is proposed for the Darboux point, and the Darboux point is shown to exist on nonglobally optimal trajectories under relatively general conditions. A mutually exclusive classification of Darboux points is noted, and several properties are proved for one of these classes (the Type-1 Darboux point). Numerous examples are included to illustrate the Darboux-point definition and properties.en_US
dc.format.extent777307 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Mediaen_US
dc.subject.otherCalculus of Variationsen_US
dc.subject.otherGlobal Sufficient Conditionsen_US
dc.subject.otherEngineering, Generalen_US
dc.subject.otherApplications of Mathematicsen_US
dc.subject.otherMathematicsen_US
dc.subject.otherTheory of Computationen_US
dc.subject.otherOptimizationen_US
dc.subject.otherCalculus of Variations and Optimal Controlen_US
dc.subject.otherOptimizationen_US
dc.subject.otherOperation Research/Decision Theoryen_US
dc.subject.otherOptimal Controlen_US
dc.subject.otherDarboux Pointen_US
dc.subject.otherConjugate Pointen_US
dc.titleThe Darboux pointen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumThe University of Michigan, Ann Arbor, Michiganen_US
dc.contributor.affiliationotherADERSA/GERBIOS, Vélizy, Franceen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/45205/1/10957_2004_Article_BF00932789.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF00932789en_US
dc.identifier.sourceJournal of Optimization Theory and Applicationsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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