简介:Inthispaper,simultaneousuniformapproximationandmeanconvergenceofquasi-HermiteinterpolationanditsderivativebasedonthezerosofJacobipolynomialsareconsideredseparately.Thedegreesofthecorrespondingapproximationsarerespectivelygivenalso.Someknownresultsareimprovedaudextended.
简介:AsubsetofSofthevertexsetofagraphGiscalledacyclicifthesubgraphitinducesinGcontainsnocycles.SiscalledanacyclicdominatingsetofGifitisbothacyclicanddominating.Theminimumcardinalityofanacyclicdominatingset,denotedbyγα(G),iscalledtheacyclicdominationnumberofG.S.M.Hedetniemietal.on2000introducedtheconceptofacyclicdominationandposedthefollowingopenproblem:Isγα(G)≤δ(G)foranygraphwhosediameteristwo?Inthispaper,wegiveacounterexamplewhichdisprovestheproblem.
简介:EllipticPDE-constrainedoptimalcontrolproblemswithL^1-controlcost(L^1-EOCP)areconsidered.TosolveL^1-EOCP,theprimal-dualactiveset(PDAS)method,whichisaspecialsemismoothNewton(SSN)method,usedtobeapriority.However,ingeneralsolvingNewtonequationsisexpensive.Motivatedbythesuccessofalternatingdirectionmethodofmultipliers(ADMM),weconsiderextendingtheADMMtoL^1-EOCP.TodiscretizeL^1-EOCP,thepiecewiselinearfiniteelement(FE)isconsidered.However,differentfromthefinitedimensionalL^1-norm,thediscretizedL^1-normdoesnothaveadecoupledform.Toovercomethisdifficulty,aneffectiveapproachisutilizingnodalquadratureformulastoapproximatelydiscretizetheL^1-normandL^2-norm.Itisprovedthattheseapproximationstepswillnotchangetheorderoferrorestimates.Tosolvethediscretizedproblem,aninexactheterogeneousADMM(ihADMM)isproposed.DifferentfromtheclassicalADMM,theihADMMadoptstwodifferentweightedinnerproductstodefinetheaugmentedLagrangianfunctionintwosubproblems,respectively.Benefitingfromsuchdifferentweightedtechniques,twosubproblemsofihADMMcanbeefficientlyimplemented.Furthermore,theoreticalresultsontheglobalconvergenceaswellastheiterationcomplexityresultso(1/k)forihADMMaregiven.Inordertoobtainmoreaccuratesolution,atwo-phasestrategyisalsopresented,inwhichtheprimal-dualactiveset(PDAS)methodisusedasapostprocessoroftheihADMM.Numericalresultsnotonlyconfirmerrorestimates,butalsoshowthattheihADMMandthetwo-phasestrategyarehighlyefficient.
简介:由在卡尔弗特和Gupta的非线性的accretivemappings的范围的和上使用不安理论,我们在答案u∈L~S的存在上学习抽象结果(包含p拉普拉斯算符操作员的非线性的边界价值问题的Ω),在此2≤s≤+∞,并且(2N)/(N+1)
L.魏和Z.的相应结果他。
简介:ThispaperdealswithH∞controlofa5th-ordermodelofsynchronousgenerators.First,byusingthemethodofexactlinearization,wetransformthe5th-ordermodelintoalinearone.Thenweassignthepoleofthelinearizedmodelintheopenlefthalfplane.Finally,weapplythedesignmethodoflinearH∞controltogetastatefeedbackcontroller.
简介:1.IntroductionLetGbeafinitegroup.ForaCayleysubsetSofGnotcontainingtheidentityelement1,theCayley(di)graphX~Cay(G,S)ofGwithrespecttoSisdefinedasthedirectedgraphwithvertexsetV(X)=GandedgesetE(X)={(g,sg)IgEG,s6S}.IfS=S--’,thentheadjacencyrelationissymmet...
简介:
简介:摘要随着5G移动通信网络的来临,移动流量得到了大幅度的增长,新型业务面对越来越多的挑战,比如说高回传带宽以及低时延。移动边缘计算MEC在一定程度上可以解决这些问题,对整体的网络架构进行初步的介绍,了解5G在标准化发展的过程当中,如何更加贴合于MEC部署策略。未来5G移动通信网络,将会是一个多级计算协同的网络系统,通过先进技术整体的设计,会使得整体的架构在灵活性和自适应性方面有大幅度的提高。与此同时,在进行通信和相关计算功能展开的过程当中,会充分的应用到虚拟化技术,便于可以对存储资源进行高效的共享。5G移动通信网络,无论是在基础理论还是关键技术方面,都具有一定其他技术无法比拟的优势,通过对于相关理论和具体的展开形式,进行更加精准的研究,希望可以推动通信和计算技术协同发展。