非线性互补约束均衡问题sqp算法的研究

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5、ᐵᦻj-ᡠḄÊ⌕Ç⚪.ᨬ，eìíᦪ，ᦪ&ᐙᑖ⊤ìíᐹᨵᨵᦔឋ、¨ឋ4!ឋ.ᦻḄ"#᪀᝞：%b&，'⌕()¿ÀឋÂ⊡ÄÅᙳ⊝Ç⚪4SQPìíḄẆC*+,，1"ᦻḄᑁ:-᣸.%ü&，(),b/ú¿ÀឋÂ⊡ÄÅḄᙳ⊝Ç⚪ḄᦋSQPìí，ᒹ1ìíᳮ2Ạ、ìí45、v+ìí1"ᦈ7ឋᑖ᪆.%9&，ᵨb:ᦪ;PZ,

6、ìíḄᨵᦔឋ.%<&，=ᦻḄ>⌕!nebḄẆ,*?.ᐵ@A：ᙳ⊝Ç⚪；SQPìí；⌲ó；ᐰBᦈ7；CÀឋᦈ7I万方数据AbstractAbstractMathematicalprogramswithnonlinearcomplementarityconstraintsisanimportantclassofmathematicaloptimizationprograms%whichhaswideapplicationsinmanyfieldsasengineering,economics,financeandtrafficequilibriumpro

7、blem.Therefore，itissignificanttostudythealgorithmsforsolvingmathematicalprogramswithnonlinearcomplementarityconstraints，soitismuchaccountedbyspecialistsfromsvariousfields，anditisanimportantresearchdirectionofthenonlinearprogramming.Theresearchonthealgorithmforfindingthesolutionsofmathem

8、aticalprogramswithnonlinearcomplementarityconstraintsisveryactive,andtheresearchresultsareprofuse.Inrecentyears,mostmethodconvertitintoanonlinearoptimizationproblemtofindthesolutionsofmathematicalprogramswithnonlinearcomplementarityconstraints,SQPmethodisoneofthem,whichiswidlyused.Inthi

9、sthesis,wemakeaninvestigationonfeasiblesequentialquadraticprogrammingalgorithm.Atfirst,withtheideaofsuccessiveapproximation,complementaryconstraintsaresmoothed,andthemathematicalprogrammingwithequilibriumconstraintsischangedequivalentlyintoastandardsmoothnonlinearprogramming.Th