简介：ForsatateformlineargramasFangandsaodeinedandapproachwhichwouldfindanoptimalsolutionbysolvingananconstrainedconvexdualprogramming.ThedualwasconstruciedbyapplyinganemropicpeturbationandasimpleInequalityInz0n,Inthispaper,wesuggestthanapaperbationfunctiontaketheplaceofInxsuchthatthenewapprodthasgoodnumericalstabilityandhasallpropertiesoftheoriginalmethod

简介：（ｘ）？Ｓ．Ｉｆｇ（ｘ）＝０，Ｓ＊（ｘ）＝Ｓ＊．ＭｏｍｎｉｔＳ／０ａｎｄｎｉｔＳ（ｘ）２ｎｉｔＳ，ｎｉｔＳ（ｘ）／０．Ｈｅｌｌｃｅ（Ｓ（ｘ））＊＝Ｓ＊（ｘ）ｈａｓａｃｏｍｐａｃｔｃｏｎｖｅｘｂａｓｅ，ｄｅｎｏｔｅｄｂｙＡ，ａｎｄｔｈｅｃｏｍｐａｃｔｃｏｎｖｅｘｂａｓｅｏｆＱ＊ｉｓｄｅｎｏｔｅｄｂｙＢ．｛０｝＊＝Ｒｅ．ＬｅｔＣ＝｛ｘＥＲｅ：ＩＩｘｌｌ＝１｝．ＴｈｅｎＣｉｓａｃｏｍｐａｃｔｂａｓｅｏｆ｛０｝＊．Ｌｅｔｓｕｐｐｏｓｅｔｈａｔ（３ｄＯＥＲ＂）（ＶＰＥＶ＊＼｛０｝）（ＰＴｐ）＂（ｘ；ｄｏ）＜０，ｆｒｏｍＬｅｍｍａ２．３ｔｈｅｒｅｅｄｅｓｔｓａｄＥＲ＂ｔｏｇｅｔｈｅｒｗｉｔｈｂ＞０ｓｕｃｈｔｈａｔＩｎｐａｒｔｉｃｕｌａｒ，ｆｉｘｉｎｇＴＥＢａｎｄＡ６Ａ，ｓｅｔｔｉｎｇｐ￣（ＥＴ，ａｃ，￣）ＥＶ＊ｗｉｔｈＥ＞０ａｎｄｕｅＣ，ｗｅＩｎｄｅｅｄ，ｉｆｔｈｅｒｅｅｘｉｓｔｓａａｌＥ（０，６）ｓｕｃｈｔｈａｔｈ（ｘ＋ａ＇ｄ）／０，ｗｅｃａｎｃｈｏｏｓｅＦＩＥＣｓａｔｉｓｆｙｉｎｇＵ，＂ｈ（ｘ＋ａ＇ｄ）＞０．Ｉｎ（４），ｌｅｔｔｉｎｇＥ－０，ｉｔｆｏｌｌｏｗｓｔｈａｔＵ＂ｈ（ｘ＋ｒｓ＇ｄ）＜０，ｗｈ?

简介：Basedupontheresearchtotheeconomicequilibriumproblems,wepresentakindofnewmathematicalprogrammingproblem-interactionprogrammingproblem(abbreviatedbyIPP).TheIPPiscomposedoftwoormultipleparametricprogrammingproblemswhichisinterrelatedwitheachother.TheIPPreflectstheequalityandmutualbenefitrelationshipbetweentwo(oramongmultiple)economicplannersinaneconomicsystem.Inessence,theIPPissimilartothegeneralizedNashequilibria(GNE)gamewhichhasbeengivenseveralnamesintheliterature:socialequilibriagames,pseudo-Nashequilibriagames,andequilibriumprogrammingproblems.Inthispaper,weestablishthemathematicalmodelandsomebasicconceptstotheIPP.WeinvestigatethestructureandthepropertiesoftheIPP.WealsogiveanecessaryandsufficientconditionsfortheexistenceoftheequilibriumpointstoakindoflinearIPP.

简介：Thispaperproposesasufficientcondition,ifthepropertiesofthebilevelprogrammingsatisfiedthecondition,wecansolvethebilevelprogrammingbysolvingsinglelevelprogramming.Itbecomeseasyandsimpletosolvethebilevelprogramming.

简介：ThispaperproposesametalanguageTrapMLfortransformationalprogramming,whichisdesignedbasedontheanalysisofitsdesignprinciples,structuresandfunctions.Ithasthefacilitiestodescribethesyntaxofobjectlanguages,thesetoftransformationrulesandstrategies.Thebehaviouroftransformationsystemscanbeconvenientlyexpressed.BothaccurateandvaguestrategiescanbewritteninTrapML.Metaprogramisofhigherreliability.

简介：Inthispaper,westudytherelaxedsmoothingproblemswithgeneralclosedconvexconstraints.Itispointedoutthatsuchproblemscanbeconvertedtoaconvexquadraticminimizationproblemforwhichtherearegoodprogramsinsoftwarelibraries.

简介：研究用图解法、simplexmethod和匈牙利法建立LinearProgramming的数学模型并求得了最优解．结果表明：对仅有两个变量的LinearProgramming，既可通过图解法求得最优解；也可用单纯形表简便地求得最优解；而对任务和人数不等的assignmentproblem，则用匈牙利法求最优解。

简介：InthelightofthespeechdeliveredbyMr.ZhouDabing,DeputyManagerGeneralofChinaNationalElectricPowerCorporation,onitshosted“HydropowerDevelopingSeminar”,duringthenational“10thFivc-ynarPlan”andthe“FarsightProgramto2015”,theinstalledcapacityofhydropowershallbeupto75GWby2000,

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简介：本文并非是一个系统性的FP教程。仅仅是揭示了FP背后的一些数学道理．介绍与之相关的一些有趣话题，我相信您一定能从文章中有所收获。本文的例子主要使甩Python解说。不过即使您不懂Python,稍微耐心一些也可以看懂。

简介：

简介：各种各样的途径为解决许多连续全球优化问题被开发了。但是直到现在，更少的工作被奉献给由于固有的困难解决非线性的整数编程问题。这篇论文设法把一般非线性的整数编程问题转变成一个equivalent'专辑连续全球最小化问题。因此，任何有效全球优化算法能被用来解决非线性的整数编程问题。这结果将也在全球优化上支持研究。我们在场一个间隔Branch-and-Bound算法。数字实验证明这条途径是有效的。(作者摘要)11个裁判员。

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简介：Typesystemprovidesaprecisedescriptionofaprogramminglanguage.Thisisaprerequisitefortheimplementationanduseoflanguage.Italsoconductsmechanicalandtransparenttype-checkingonprogramstopreventtheoccurrenceofexecutionerrorduringtherunningofprograms.So,itcanbesaidthat,ontheonehand,typesystemworksasaformaltooltodomathematicalanalysisoflanguage;ontheotherhand,itisaformalmethodforrigorouslyandpreciselydesigningandimplementinglanguage.Inthispaper,somebasicconceptsoftypesystemarediscussedfirst.Andthen,theimplementationofagraph-rewriting-basedfunctionallanguage－SClean'stypesystemisgivenindetails.Itishopedthattheproposedmethodofusingandimplementingtypesystemisofpracticalusefulness.

简介：WeproposeanewmethodforfindingthelocaloptimalpointsoftheconstrainednonlinearprogrammingbyOrdinaryDifferentialEquations(ODE),andproveasymptoticasymptoticstabilityofthesingularpointsofpartialvariablesinthispaper.Theconditionofoveralluniform,asymptoticstabilityisalsogiven.

简介：Itiswellknownthatforsymmetriclinearprogrammingthereexistsastrictlycomplementarysolutioniftheprimalandthedualproblemsarebothfeasible.However,thisisnotnecessarytrueforsymmetricorgeneralsemidefiniteprogrammingevenifboththeprimalproblemanditsdualproblemarestrictlyfeasible.Someotherpropertiesarealsoconcerned.

简介：最近，在矩阵是积极semidefinite和入口明智的nonnegative的地方，研究人员们对学习semidefinite编程(SDP)松驰模型感兴趣，为二次地抑制的二次的编程(QCQP)。比作基本SDP松驰，这个二倍地积极的SDP模型拥有另外的O(n2)限制，它与O(n)限制为基本模型使SDP答案复杂性比那实质地高。在这份报纸，我们证明二倍地积极的SDP模型与一套有效二次的切割等价于基本的。当QCQP对称、同类时(它代表许多古典组合并且nonconvex优化问题)，甚至没有任何有效切割，二倍地积极的SDP模型等价于基本SDP。在另一方面，二倍地积极的SDP模型能帮助紧缩界限直到36%，但是不再。最后，我们设法把一些以前的结果递四次的模型。

简介：Acertainnumberofconsiderationsshouldbetakenintoaccountinthedynamiccontrolofrobotmanipulatorsashighlycomplexnon-linearsystems.Inthisarticle,weprovideadetailedpresentationofthemechanicalandelectricalimpli-cationsofrobotsequippedwithDCmotoractuators.Thismodeltakesintoaccountallnon-linearaspectsofthesystem.Then,wedevelopcomputationalalgorithmsforoptimalcontrolbasedondynamicprogramming.Therobot’strajectorymustbepredefined,butperformancecriteriaandconstraintsapplyingtothesystemarenotlimitedandwemayadaptthemfreelytotherobotandthetaskbeingstudied.Asanexample,amanipulatorarmwith3degreesoffreedomisanalyzed.

简介：Inthispaper,thegeometricalmeaningoftwobasicoptimalityconditionsforaclassofcommoncasesinnonsnaoothprogrammingisexposed.Thusitmakesthecheckofoptimalityconditionsforthisclassofnonsmoothprogrammingproblemmucheasier.

简介：Thispaperdealswiththelimitanalysesofperfectrigid-plasticcontinua.Basedonthekinematictheoremofthelimitanalysistheory,amathematicalprogrammingfiniteelementformulafordeterminingtheupperboundloadmultiplierhasbeenestablished,andaniterationalgorithmproposedaccordingly.Inthisalgorithmtheplasticandrigidzonesaredistinguishedforeveryiterationstep,andthegoalfunctionismodifiedgradually.Thedifficultiescausedbythenonsmoothnessofthegoalfunctionareover-come.Someexamplessolvedbythisalgorithmarepresented.