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105
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Documents
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2008
Description
gelegtAugmen/AnhalttedM.Primal-Dualersit?tMethoScd?tsHeinricforvLinearonProgramswskyandausSOCeProblems2008Inaugural-Dissertationh-Heine-UnivzurD?sseldorfErlangungordesvDoktorgradesKatrinderhmalloMathematisc,hSc.-NaturwissenscKhaftlichhennFMaiakult?tderDr.AusderdemMarlisInstitutD?sseldorff?roreferenMathematikbrucderPr?fung:Heinrict:h-Heine-UnivJarreersit?tProf.D?sseldorfcGedrucTkt?ndlicmitiidRefereneProf.rFlorianGenehmigungKdert:MathematiscDr.h-NaturwissenscHohaftlichhenkFagakult?tmderhenHeinric2008/07/02h-Heine-Universit?thadDEDICAtTIONiiiIdreamdedicatethosethishievthesiscompleteinylomevingearsmemoryactemenowillmtheythatparenouts.forIallhopye,ago.thatthisT(P) c x x∈K∩(L+b),L KnK K K =R+K K =Qnfn+m nR R+fff( )X∗ n×n k k T k nC = X ∈R |X = v (v ) {v } ∈R .k∈Kn +k∈K∗B C NPn∗ ∗¯B ∈ C S CBthird.problem.Thesepproblemsequivarememoryspclecialecasestheofdiscussed.con,vhoicesexgivoptimizationheproblems.nondegeneracyIntaritthetorstofpart,hathemoryequivresults,alenceisofcone.solvingwhereadealslineareitherprogramaandthattheorderminimizationuniquenessofoptimalamethoconconevthesiseprimal-dualxscale,observdierenhence,tiabledfunctionofgivthe,ywhicrsthtisforpiecewisesetquadraticTheonistheanspaceoseisprothatconsecondlyinandsho,andislineardiscussed.programsIntthisstrictaofpFproactedhisthesecondaneInsetofandimplementheaugmenconedi.e.ort,worthanearethemoydelledlimitedbGSyused.
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01 janvier 2008
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