简介：ＡＪ－ＣＯＮＶＥＸＳＵＢＳＥＴＷＨＩＣＨＩＳＮＯＴＰＳＨ－ＣＯＮＶＥＸＢｕＳｈａｎｇｑｕａｎ（步尚全）（Ｄｅｐａｒｔｍｅｎｔｏｆａｐｐｌｉｅｄｍａｔｈｅｍａｔｉｃｓ，ＴｓｉｎｇｈｕａＵｎｉｖｅｒｓｉｔｙ，Ｂｅｉｊｉｎｇ１０００８４，Ｃｈｉｎａ）Ａｂｓ...

简介：Thispaperpresentsatypeofvariationalprinciplesforrealvaluedw*lowersemicontinuousfunctionsoncertainsubsetsindualsoflocallyconvexspaces,andresolveaproblemconcerningdifferentiabilityofconvexfunctionsongeneralBanachspaces.Theyaredonethroughdiscussingdifferentiabilityofconvexfunctionsonnonlineartopologicalspacesandconvexificationofnonconvexfunctionsontopologicallinearspaces.

简介：Inthispaper,westudytherelaxedsmoothingproblemswithgeneralclosedconvexconstraints.Itispointedoutthatsuchproblemscanbeconvertedtoaconvexquadraticminimizationproblemforwhichtherearegoodprogramsinsoftwarelibraries.

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简介：Inthispaper,wegivesomepropertiesoff-approximation,f-Chebyshevcentersandf-farthestpointsinlocallyconvexspaces.

简介：在几何学，有几个挑战性的问题，学习联系到凸的身体的数字。例如，收拾行李的密度问题，吻的数字问题，盖住的密度问题，盖住包装的经常的问题，盖住的Hadwigers推测并且Borsuks分区推测。他们是关于一样的目标的基本、迷人的问题。直到现在，然而，用于他们的方法论和这种技术是实质上不同的。因此，为他们的一个普通基础很被期望了。由把这些类型的问题当作在n维的凸的身体的空格定义的functionals，这份报纸试着创造如此的一个基础。特别地，为这些functionals的supderivatives将被学习。

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简介：Inthepresentpaperweconsiderquarticpiecewisepolynomialforapproximationtothefunctionf∈C2[0,1].Aconvextypeconditionhasbeenimposedinthepartitionsothatthematrixinvolvedforthecomputationofppfunctionsisoflowerband.Thisreducesthecomputationforconstructionsoftheppfunctionsfortheapproximation.

简介：ＡＮＥＷＣＯＮＶＥＸＨＵＬＬＡＬＧＯＲＩＴＨＭＦＯＲＡＮＹＰＯＬＹＧＯＮＨｕＺｈａｎｑｉＬｉＹｕｐｅｎｇＷａｎｇＪｕｎＱｉａｏＬｅｉＡｂｓｔｒａｃｔＡｎｅｗａｌｇｏｒｉｔｈｍｆｏｒｆｉｎｄｉｎｇｃｏｎｖｅｘｈｕｌｏｆａｐｏｌｙｇｏｎｉｓｐｒｏｐｏｓｅ...

简介：Inthispaper,westudythecomputationalcomplexityoftheintegralsandthederivativesofconvexfunctionsdefinedontheinterval[0,1].

简介：Thispapergivesanewdualproblemfornondifferentiableconvexprogrammingandprovesthepropertiesofweakdualityandstrongdualityandoffersanecessaryandsufficientconditionofstrongduality.

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简介：ＲＯＷ－ＡＣＴＩＯＮＭＥＴＨＯＤＳＦＯＲＣＯＮＶＥＸＱＵＡＤＲＡＴＩＣＰＲＯＧＲＡＭＭＩＮＧＧＵＯＴｉａｎｄｅ（ＭａｔｈｅｍａｔｉｃｓＤｅｐａｒｔｍｅｎｔｏｆＱｕｆｕＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｑｕｆｕ，Ｓｈａｎｄｏｎｇ２７３１６５，Ｃｈｉｎａ...

简介：Apotentialreductionalgorithmisproposedforoptimizationofaconvexfunctionsubjecttolinearconstraints.Ateachstepofthealgorithm,asystemoflinearequationsissolvedtogetasearchdirectionandtheArmijo'sruleisusedtodetermineastepsize.Itisprovedthatthealgorithmisgloballyconvergent.Computationalresultsarereported.

简介：AnewclassofconstrainedmultiobjectivegameswithinfiniteplayersinnoncompactlocallyconvexH-spaceswithoutlinearstructureareintroducedandstudied.ByapplyingaFan-Glicksbergtypefixedpointtheoremforuppersemicontinuousset-valuedmappingswithclosedacyclicvaluesandamaximumtheorem,severalexistencetheoremsofweightedNath-equilibriaandParetoequilibriafortheconstrainedmultiobjectivegamesareprovedinnoncompactlocallyconvexH-spaces.Thesetheoremsimprove,unifyandgeneralizethecorrespondingresultsofthemultiobjectivegamesinrecentliteratures.

简介：在这份报纸，线性基于漏的precoders的设计被考虑为多重输入多重产量(MIMO)downlinks。我们的建议计划最小化总数在每个用户的signal-to-leakage-plus-noise比率(SLNR)下面播送力量限制。当基础车站知道完美的隧道状态信息(CSI)时，设计问题的合适的重新阐述允许semidefinite的成功的申请松驰(SDR)技术。当基础车站与有限评价错误知道有瑕疵的CSI时，设计问题能用semidefinite节目(SDP)被解决。同时，它能动态地根据每个用户的隧道状态分配每个用户的SLNR阀值，因此它比另外的类似的基于SINR的precoding方法更可行。用大SLNR阀值，建议设计更好举办的模拟结果表演在高signal-to-noise比率(SNR)比maximal-SLNRprecoding方法咬了错误率(BER)性能。而且当基础车站知道有瑕疵的隧道状态信息时，建议precoder对隧道评价错误柔韧，并且比另外的类似的基于SINR的precoding方法有更好的BERpreformance。

简介：Thespectralgradientmethodhasprovedtobeeffectiveforsolvinglarge-scaleunconstrainedoptimizationproblems.Ithasbeenrecentlyextendedandcombinedwiththeprojectedgradientmethodforsolvingoptimizationproblemsonconvexsets.Thiscombinationincludestheuseofnonmonotonelinesearchtechniquestopreservethefastlocalconvergence.Inthisworkwefurtherextendthespectralchoiceofsteplengthtoacceptpreconditioneddirectionswhenagoodpreconditionerisavailable.Wepresentanalgorithmthatcombinesthespectralprojectedgradientmethodwithpreconditioningstrategiestoincreasethelocalspeedofconvergencewhilekeepingtheglobalproperties.Wediscussimplementationdetailsforsolvinglarge-scaleproblems.

简介：ForsatateformlineargramasFangandsaodeinedandapproachwhichwouldfindanoptimalsolutionbysolvingananconstrainedconvexdualprogramming.ThedualwasconstruciedbyapplyinganemropicpeturbationandasimpleInequalityInz0n,Inthispaper,wesuggestthanapaperbationfunctiontaketheplaceofInxsuchthatthenewapprodthasgoodnumericalstabilityandhasallpropertiesoftheoriginalmethod

简介：结果的一些归纳由S.P证明了。Singh[J。理论约25(1979)，8990]在凸的公制的空格被介绍。证明的结果在这个题目上包含几已知的结果。