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ID:39113066
大小:1.16 MB
页数:47页
时间:2019-06-25
《半定互补问题算法的分析》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、镶AbstractAsanewmathematicalmodel,“Complemen伽坶Problem”w嬲earlVcalled“Compositeproblem”,“Fundamentalproblem’’or“Compleme蛐lri够piVotproblem”a芏ldsooIl,nisoneofthebasictopicsinoptimi础ion.ItSf.onna:tionbypromotinglinearprogrammiIlg锄d110liIlearpro铲卸1miIlg.Complement撕够Problemsa
2、reclosely嬲sociated谢mMamematic甜pro掣猢in舀V-ariationalinequalities,Fixedpointproblems,GeIlemlizedequationsandsoon.IIltllestlldyofit,Wreusesomet11eoriesinNoIllinear锄alysis锄dTbpology.nisregarded勰acrossoVerinAppliedmathematics,Computationmmathematics锄dtheB豁icmamematics.Forex
3、ample,M砌xgameproblems,ECono血cequilibriuIIlproblems,Tra伍cnowequilibri啪probleIIIS,Coll.tactproblems,Freeboundaryproblems觚dGoodsissuesintllesupplych血areall仃anslatediIlt0nlemodelofComplementarityProblems.7111eSemidefiniteComplem伽【tari付ProblemisanintersectingresearChfieldf
4、orSemidefiIlitepro莎amming锄Idcomplem伽渤Iri够meory.nplaysimport觚trolesiIlm龇lyrealsectorssuchaLsmech枷cs、engineering、economy、tmsportation趾ldsoon.So.ThereseaI℃honitchangesahotspot.TheNon.InteriorContinuationMethodisaalgoriⅡunthatisbaSedontheSmootllingFB缸1ction(Abbreviationfo
5、rFBf.蚰ction)theoryaIldCentrepamprinciple,ByreducingmeValueofthesmoothingp猢eter'Weusethesolutionofthesmoothir培regelleratedequa_tionst0approximatetllesolutionofthenonsmoothingeqmtioIlSthat、Ⅳeneedtosolve,伊adually.Therefore,、vecangettheapproximatesolutionofmeproblem.Wecal
6、lsolVeComplementari西Problems锄dSemidefiIliteComplementari田Problemsefrectivelybytllisalgoritbm.111tllispaper,FirstlyintroducedaretheoreticalknowledgeaboutComplement撕tyProblems砒ldthenatllreofSmoothingFB缸lctiomarldaNon.InteriorCominuationMemodf10rsolvingComplemen.C撕田Probl
7、emsisintI.ocIuced,Therelev趾tanalVsisaboutthisalgorithmisfollowed.Then,BaLsedonthesmoothingFB胁ctionmeoryarldcentrepathprinciple,W.eextendtheoreticalkIlowledgea11dtheNon-InteriorContinuation:MethodaboutComplemen谢tyProblemstoSemidefiniteComplemen嘶西Problem,aIldThealgorith
8、misshowntobebothgloballyline砌yconVergentaIldlocalquadraticallycorⅣergentu11dersomeproper嬲s啪ptions.Prelimin孤yn啪ericalexperime
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