| PARALLEL MULTIPLICATIVE ITERATIVE METHODS FOR CONVEX PROGRAMMING |
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| 作者姓名： | 陈忠 费浦生 |
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| 作者单位： | Department of Mathematics，Wuhan University，Wuhan，430072，China |
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| 摘 要： | 1IntroductionInthispaper,wewillconsiderthebehavinrOfparallelmultiplicativeiterativemethodsfortheconstrainedopt~ationproblemwhereIisaconvexcontinuouslydtherentiablefunctiononR;withcompactlevelsetsandlOCallyLiP8chitzcontinuousgradient.In1]Eggerinontintroducedapracticalapprodriatemethodforsolving(1,1),theresultingalgorithmhastheformwhereVI(x*)isthegradientofl(:)atac,andwbisarelaxation/steplengthparameter,andinwhichMisanarbitrarylfordconstant,andListheLipschitzconstantofVI(x),thatistosaylth…
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PARALLEL MULTIPLICATIVE ITERATIVE METHODS FOR CONVEX PROGRAMMING |
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| Chen Zhong,Fei Pusheng.PARALLEL MULTIPLICATIVE ITERATIVE METHODS FOR CONVEX PROGRAMMING[J].Acta Mathematica Scientia,1997(2). |
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| Authors: | Chen Zhong Fei Pusheng |
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| Abstract: | In this paper, we present two parallel multiplicative algorithms for convex programming. If the objective function has compact level sets and has a locally Lipschitz continuous gradient, we discuss convergence of the algorithms. The proofs areessentially based on the results of sequential methods shown by Eggermont1]. |
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| Keywords: | parallel algorithm convex programming |
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