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1998年
1.D.H.Li,J.P.ZengandS.Z.Zhou,ConvergenceofBroyden-likematrix,AppliedMathematicsLetters,11(1998),no.5,35--37.
2.D.H.LiandJ.P.ZengApenaltytechniquefornonlinearcomplementarityproblems,JournalofComputationalMathematics,16(1998),no.1,40--50.
1999年
3.D.H.LiandM.Fukushima,AgloballyandsuperlinearlyconvergentGauss-NewtonbasedBFGSmethodforsymmetricnonlinearequations,SIAMJournalonNumericalAnalysis,37(1999),no.1,152-172.
4.D.H.LiandM.Fukushima,Aderivative-freelinesearchandDFPmethodforsymmetricequationswithglobalandsuperlinearconvergence.NumericalFunctionalAnalysisandOptimization,20(1999),no.1-2,59--77.
2000年
5.D.H.LiandM.Fukushima,Aderivative-freelinesearchandglobalconvergenceofBroyden-likemethodfornonlinearequations,OptimizationMethodsandSoftware,13(2000),No.3,181-201.
6.D.H.LiandM.Fukushima,SmoothingNewtonandquasi-Newtonmethodsformixedcomplementarityproblems,ComputationalOptimizationandApplications,17(2000),203-230.
7.Y.YangandD.H.Li,Broyden'smethodforsolvingvariationalinequalitieswithglobalandsuperlinearconvergence,JournalofComputationalMathematics,18(2000),no.3,289--304.
8.D.H.Li,L.Qi,AstabilizedSQPmethodvialinearequations,DepartmentofAppliedMatheamtics,SchoolofMathematics,NewSouthWalesUniversity,Sydney,Australia,2000.
2001年9.D.H.LiandM.Fukushima,OntheglobalconvergenceofBFGSmethodfornonconvexunconstrainedoptimizationproblems,SIAMJournalonOptimization,11(2001),1054-1064.
10.D.H.LiandM.Fukushima,GloballyconvergentBroyden-likemethodsforsemismoothequationsandapplicationstoVIP,NCPandMCP,AnnalsofOperationsResearch,103(2001),71–79.
11.D.H.Li,N.Yamashita,M.Fukushima,AnonsmoothequationbasedBFGSmethodforsolvingKKTsystemsinmathematicalprogramming,JournalofOptimizationTheoryandApplications,109(2001),123–167.12.J.P.Zeng,D.H.LiandM.Fukushima,Weightedmax-normestimateofadditiveSchwarziterationschemeforsolvinglinearcomplementarityproblems,JournalofComputationalandAppliedMathematics,131(2001),
13.Y.YangandD.H.Li,Atrustregionalgorithmforconstrainednonsmoothoptimizationproblems,JournalofComputationalMathematics,19(2001),No.4,357-364.
14.D.H.LiandM.Fukushima,AmodifiedBFGSmethodanditsglobalconvergenceinnonconvexminimization,JournalofComputationalandAppliedMathematics,129(2001),15-35.
2002年
15.X.TongandD.H.Li,L.Qi,Aniterativemethodforsolvingsemismoothequations,JournalofComputationalandAppliedMathematics,146(2002),1-10.
2003年
16.G.Gu,D.H.Li,L.QiandS.Zhou,Descentdirectionsofquasi-Newtonmethodsforsymmetricnonlinearequations,SIAMJournalonNumericalAnalysis,40(2003),1763-1774.
17.Y.Jiang,D.H.LiandJ.P.Zeng,Weightedmax-normestimateofadditiveSchwarzmethodsforsolvingnonlinearcomplementarityproblems,OptimizationMethodsandSoftware,18(2003),657-672.
18.Y.Yang,D.H.LiandL.Qi,Afeasiblesequentialsystemoflinearequationsmethodforinequalityconstrainedoptimization,SIAMJournalonOptimization,13(2003),1222-1244
2004年
19.L.Qi,X.Tong,andD.H.Li,Anactive-setprojectedtrustregionalgorithmforboxconstrainednonsmoothequations,JournalofOptimizationTheoryandApplications,120,(2004),No.3,601–625.
20.D.H.Li,L.Qi,J.TamandS.Wu,AsmoothingNewtonmethodforsemi-infiniteprogramming,JournalofGlobalOptimization,30(2004),No.2-3,169-194.
21.D.H.Li,M.Fukushima,L.QiandN.Yamashita,RegularizedNewtonmethodsforconvexminimizationproblemswithsingularsolutions,ComputationalOptimizationandApplications,28(2004),No.2,131-147.
2005年
22.S.Wu,D.H.Li,L.QiandG.Zhou,AniterativemethodforsolvingKKTsystemofthesemi-infiniteprogramming,OptimizationMethodsandSoftware,20(2005),629-643.
2006年
23.L.Zhang,W.ZhouandD.H.Li,GlobalconvergenceofamodifiedFletcher-ReevesconjugategradientmethodwithArmijo-typelinesearch,NumerisheMathematik,104(2006),561-572
24.L.Zhang,W.ZhouandD.H.Li,AdescentmodifiedPolak-Ribiere-Polyakconjugategradientmethodanditsglobalconvergence,IMAJournalofNumericalAnalysis,26(2006),629-640.
2007年24.J.ZhangandD.H.Li,AnormdescentBFGSmethodforsolvingKKTsystemsofsymmetricvariationalinequalityproblems,OptimizationMethodsandSoftware,22(2007),237-252.
25.Y.ZhouandD.H.Li,Coordinatingorderquantitydecisionsinthesupplychaincontractunderrandomdemand,AppliedMathematicalModelling,31(2007),1029-1038.
26.W.ZhouandD.H.Li,LimitedmemoryBFGSmethodfornonlinearmonotoneequations,JournalofComputationalMathematics,25(2007),89-96
27.T.LiuandD.H.Li,AcautiousBFGSupdateforreducedHessianSQP,NumericalAlgorithms,44(2007),11-28.
28.T.LiuandD.H.Li,ConvergenceoftheBFGSmethodfordegenerateproblems,NumericalFunctionalAnalysisandApplications,28(2007),927-944.
29.T.LiuandD.H.Li,ApracticalupdatecriterionforSQPmethod,OptimizationMethodsandSoftware,22(2007),253-266.
30.L.Zhang,W.ZhouandD.H.Li,GlobalconvergenceoftheDYconjugategradientmethodwithArmijolinesearchforunconstrainedoptimizationproblems.OptimizationMethodsandSoftware,22(2007),511-517.
31.L.Zhang,W.ZhouandD.H.Li,Somedescentthree-termconjugategradientmethodsandtheirglobalconvergence,OptimizationMethodsandSoftware,22(2007),697-711.
32.D.H.LiandW.Cheng,RecentprogressintheglobalconvergenceofquasiNewtonmethodsfornonlinearequations,HokkaidoJournalofMathematics,36(2007),No.4,729-743.
2008年
33.W.ZhouandD.H.Li.,AgloballyconvergentBFGSmethodfornonlinearmonotoneequations,MathematicsofComputation,77(2008),No.264,2231-2240.
34.D.H.Li,Y.Y.NieandJ.P.Zeng,ConjugateGradientMethodfortheLinearComplementarityProblemwithS-Matrix,MathematicalandComputerModelling,48(2008),No.5-6,918–928.
35.Y.XiaoandD.H.Li,AnactivesetlimitedmemoryBFGSalgorithmforlarge-scaleboundconstrainedoptimization,MathematicsMethodsandOperationsResearch,67(2008),No.3,443-454.
35.D.H.Li,L.QiandV.Roshchina,ANewClassofQuasi-NewtonUpdatingFormulas,OptimizationMethodsandSoftware,23(2008),No.2,237-249.
2009年
36.G.LuoandD.H.Li,RobustOptimizationEquilibriumwithDeviationMeasures,JacificJournalofOptimization,5(2009),No.3,427-441.
37.Y.LiandD.H.Li,TruncatedregularizedNewtonmethodforconvexminimization,ComputationalOptimizationandApplication,43(2009),No.1,119-131.
38.W.ChengandD.H.Li,Aderivative-freenonmonotonelinesearchanditsapplicationtothespectralresidualmethod,IMAJournalofNumericalAnalysis,29(2009),814–825
2010年39.pdf39.Z.Sun,J.P.ZengandD.H.Li,SemismoothNewtonSchwarziterativemethodsforthelinearcomplementarityproblem,BITNumericalMathematics,50(2010),No.2,425-449.
40.F.Wang,D.H.LiandL.Qi,GlobalconvergenceofGauss-Newton-MBFGSmethodforsolvingthenonlinearleastsquaresproblem,AMO-AdvancedModelingandOptimization,12(2010),No.11-19.
41.Q.Yan,X.Z.Peng,D.H.LiAgloballyconvergentderivative-freemethodforsolvinglarge-scalenonlinearmonotoneequations,JournalofComputationalandAppliedMathematics,234(2010),No.3,649-657.42.W.ChengandD.H.Li,SpectralscalingBFGSmethod,JournalofOptimizationTheoryandApplications,146(2010),No.2,305-319.
43.Q.Li,D.H.LiandHouduoQi,Newton’smethodforcomputingthenearestcorrelationmatrixwithasimpleupperbound,JournalofOptimizationTheoryandApplications,147(2010),546–568.
2011年
44.Q.LiandD.H.Li,AnewsmoothingfunctionandasmoothingNewtonmethodfornonlinearcomplementarityproblems,AMO-AdvancedModelingandOptimization,13(2011),No.2,141-152.
45.Q.LiandD.H.Li,AprojectedsemismoothNewtonmethodforproblemsofcalibratingleastsquarescovariancematrix,OperationsResearchLetters,39(2011)103–108.
46.X.AnandD.H.Li,Sufficientdescentdirectionsinunconstrainedoptimization,ComputationalOptimizationandApplication,48(2011),515-532.
47.D.H.LiandB.Tian,n-stepquadraticconvergenceoftheMPRPmethodwitharestartstrategy,JournalofComputationalandAppliedMathematics,235(2011),No.17,4978-4990.
48.D.H.LiandX.L.Wang,AmodifiedFletcher-Reeves-typederivative-freemethodforsymmetricnonlinearequations,NumericalAlgebra,ControlandOptimization,1(2011),71-82.
49.G.Luo,D.LiandX.An,robustoptimizationequilibriaforbimatrixgame,PacificJournalofOptimization,7(2011),No.3,599-610.
50.Q.LiandD.H.Li*,Aclassofderivative-freemethodsforlarge-scalenonlinearmonotoneequations,IMAJournalofNumericalAnalysis,31(2011),1625−1635.
2012年
51.M.LiandD.H.Li,Amodifiedconjugate-descentmethodanditsglobalconvergence,PacificJournalofOptimization,8(2012),247-259.
52.A.Qu,D.H.LiandM.LI,TheconvergencerateofarestartMFRconjugategradientmethodwithinexactlinesearch,AppliedMathematicsandComputation,218(2012),11380–11390.
53.Yu,D.H.LiandN.Dong,Convergenceofthecyclicreductionalgorithmforaclassofweaklyoverdampedquadratics,JournalofComputationalMathematics,Vol.30,No.2,2012,139–156.
54.W.ChengandD.H.Li,AnactivesetmodifiedPolak–Ribiére–Polyakmethodforlarge-scalenonlinearboundconstrainedoptimization,JournalofOptimizationTheoryandApplications,155(2012),1084–1094.
55.Z.Dai,D.H.LiandF.Wen,Robustconditionalvalue-atriskoptimizationforasymmetricallydistributedassetreturns,PacificJournalofOptimization,8(2012),429-445.
56..H.Li,Q.LiandH.Xu,AnalmostsmoothequationreformulationtothenonlinearcomplementarityproblemandNewton'smethod,OptimizationMethodsandSoftware,27(2012),969-981.
2013年
57.Y.Li,S.Zhu,D.H.LiandD.Li,Activeallocationofsystematicriskandcontrolofrisksensitivityinportfoliooptimization,EuropeanJournalofOperationalResearch,228(2013)556–570.
58.Y.H.Xiao,S.WuandD.H.Li,SplittingandlinearizingaugmentedLagrangianalgorithmforsubspacerecoveryfromcorruptedobservations,AdvanceinComputationalMathematics,38(2013),No.438:837–858.
59.C.LiandD.H.Li,AnextensionoftheFletcher–Reevesmethodtolinearequalityconstrainedoptimizationproblem,AppliedMathematicsandComputation,219(2013),No.23,Aug.,10909–10914
2014年
60.W.Cheng,Z.ChenandD.H.Li,AnactivesettruncatedNewtonmethodforlarge-scaleboundconstrainedoptimization,ComputersandMathematicswithApplications,67(2014)1016–1023.
61.Li,X.Yang,S.ZhuandD.H.Li,Ahybridapproachforindextrackingwithpracticalconstraints,
JournalofIndustrialandManagementOptimization,10(2014),905-927.
62.W.Cheng,Q.LiuandD.H.Li,Anaccurateactivesetconjugategradientalgorithmwithprojectsearchforboundconstrainedoptimization,OptimizationLetters,8(2014),763-776.
63.D.Li,L.Wu,Z.SunandX.ZhangAconstrainedoptimizationreformulationandafeasibledescentdirectionmethodforL1/2regularization,ComputationalOptimizationandApplications,59(2014),263-284.
64.L.Wu,Z.SunandD.H.Li*,AgradientbasedmethodfortheL2-L1/2minimizationandapplicationtocompressivesensing,
PacificJournalofOptimization,10(2014),401-414.
65.W.ZhouandD.H.Li,OntheconvergencepropertiesoftheunmodifiedPRPmethodwithanon-descentlinesearch,OptimizationMethods&Software,29(2014),No.3,484–496.
66.L.Yao,X.Zhang,D.H.Li,F.ZengandH.Chen,AnInteriorPointMethodforL1/2-SVMandApplicationtoFeatureSelection
inClassification,JournalofAppliedMathematics,Volume2014,ArticleID942520,16pages
2015年
67.W.Cheng,Z.ChenandD.H.Li,Nonmonotonespectralgradientmethodforsparserecovery,InverseProblemsandImaging,9(2015),No.3,815-833
69.H.Wang,DHLi,X.J.Zhang,LWu,OptimalityconditionsfortheconstrainedLp-regularization,Optimization,2015.
70.F.WuandD.H.Li,Therestrictedisometrypropertyforsignalrecoverywithcoherenttightframes,BulletinoftheAustralianMathematicalSociety,92(2015),No.3,496-507.
2016年
71.L.Wu,Z.SunandD.H.Li,ABarzilai–Borwein-likeiterativehalfthresholdingalgorithmforthe
L1/2regularizedproblem,JournalofScientificComputing,May67(2016),No.2,581–601.
72.H.P.CaoandD.H.Li,Partitionedquasi-Newtonmethodsforsparsenonlinearequations,ComputationalOptimizationandApplications,2016
73.B.Tian,D.H.LiandX.Yang,Anunconstraineddifferentiablepenaltymethodforimplicitcomplementarityproblems,OptimizationMethods&Software,31(2016),No.4,775–790.
74.H.CanandD.H.Li,Partitionedquasi-Newtonmethodsforsparsenonlinearequations,ComputationalOptimizationandApplications,66(2017),481-505.
75.S.L.Xie,D.H.LiandH.R.Xu,Aniterativemethodforfindingtheleastsolutiontothetensorcomplementarityproblem,JournalofOptimizationTheoryandApplications,175(2017),Issue 1,119–136.
76.D.H.Li,S.L.XieandH.R.Xu,Splittingmethodsfortensorequations,NumerLinearAlgebraAppl.24(2017).(11371154)
77.F.Wu,D.H.LiandJ.Cao,P-RIPconditionforsignalrecoveryviaLpminimization,JournalofMathematicalSciences:AdvancesandApplications,45(2017),21-39.
78.L.Yao,F.Zeng;,D.H.LiandZ.G.Chen,SparseSupportVectorMachinewithLpPenaltyforFeatureSelection,JournalofComputerScienceandTechnology,32(2017),68-77.
79.Y.Xiao,L.ChenandD.H.Li,Ageneralizedalternatingdirectionmethodofmultiplierswithsemi-proximaltermsforconvexcompositeconicprogramming,MathematicalProgrammingComputation,10(2018),No.4,533–555.
80.H.Xu,D.H.LiandS.L.Xie,Anequivalenttensorequationtothetensorcomplementarityproblemwithpositivesemi-definiteZ-tensor,OptimizationLetters,13(2019),685–694.