简介:Thispaperpresentsatrustregionalgorithmwithnullspacetechniquefornonlinearequalityconstrainedoptimization.Consideringinthenullspacemethodsthat,theconvergentrateofrangespacestepisfasterthanthenullspacestepforthemostcases,theproposedalgorithmcomputesnullstepsmoreoftenthanrangespacestep.Moreover,thenewalgorithmisbasedonthereducedHessianSQPmethod.Globalconvergenceoftheproposedalgorithmisproved.Theeffectivenessofthemethodisdemonstratedbysomenumericalexamples.
简介:Inthispaper,wediscussMDPwithdiscretetimeparameter-thefirstpassagemodelwithdenumerablestatespace.UnderassumptionAinthispaper,weprovethatanε(>0)-optimalstationarypolicyexists.Tofindanε-optimalstationarypolicy,analgorithmofpolicyimprovementiterationandamethodofsuccessiveapproximationsaregiven.
简介:Inthispaper,wegiveanorder-preserving,isometricandisomorphicembeddingoperatorfromthefuzzynumberspaceE~1toaclassicalBanachspaceandshowsomenecessaryandsufficientintegrabilityconditionsoffuzzyintegralswhichweredefinedbyM.MatlokaandO.Kalevabymeansofsuchanoperator.