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500 个结果
  • 简介:Letx=(xn)n≥1beamartingaleonanoncommutativeprobabilityspace(M,τ)and(wn)n≥1asequenceofpositivenumberssuchthatWn=∑nk=1wk→∞asn→∞.Weprovethatx=(xn)n≥1convergesinE(M)ifandonlyif(σn(x))n≥1convergesinE(M),whereE(M)isanoncommutativerearrangementinvariantBanachfunctionspacewiththeFatoupropertyandσn(x)isgivenbyk=1Ifinaddition,E(M)hasabsolutelycontinuousnorm,then,(σn(x))n≥1convergesinE(M)ifandonlyifx=(xn)n≥1isuniformlyintegrableanditslimitinmeasuretopologyx∞∈E(M).

  • 标签: Banach函数空间 收敛性 非交换 加权平均 概率空间
  • 简介:Undersuitableconditions,themonotoneconvergenceabouttheprojectediterationmethodforsolvinglinearcomplementarityproblemisprovedandtheinfluenceoftheinvolvedparametermatrixontheconvergencerateofthismethodisinvestigated.

  • 标签: LINEAR complementarity PROBLEM projected ITERATION method
  • 简介:我们为其内核满足一个一般同质条件的线性不可分的操作符的一个类在空格BV关于变化获得估计和集中结果。近似的率也被获得。作为应用,我们把我们的一般理论用于Mellin卷绕旋转操作员的盒子,到一个时刻操作员到部分顺序的操作员的一个班。

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  • 简介:TheconvergenceoftheparallelmatrixmultisplittingrelaxationmethodspresentedbyWang(LinearAlgebraandItsApplications154/156(1991)473-486)isfurtherinvestigated.Theinvestigationsshowthattheserelaxationmethodsreallyhaveconsiderablylargerconvergencedomains.

  • 标签: 收敛域 矩阵多重分裂反射法 线性代数 SIMD 多过程系统
  • 简介:Withthevigorousexpansionofnonlinearadaptivefilteringwithreal-valuedkernelfunctions,itscounterpartcomplexkerneladaptivefilteringalgorithmswerealsosequentiallyproposedtosolvethecomplex-valuednonlinearproblemsarisinginalmostallreal-worldapplications.ThispaperfirstlypresentstwoschemesofthecomplexGaussiankernel-basedadaptivefilteringalgorithmstoillustratetheirrespectivecharacteristics.ThenthetheoreticalconvergencebehaviorofthecomplexGaussiankernelleastmeansquare(LMS)algorithmisstudiedbyusingthefixeddictionarystrategy.ThesimulationresultsdemonstratethatthetheoreticalcurvespredictedbythederivedanalyticalmodelsconsistentlycoincidewiththeMonteCarlosimulationresultsinbothtransientandsteady-statestagesfortwointroducedcomplexGaussiankernelLMSalgonthmsusingnon-circularcomplexdata.Theanalyticalmodelsareabletoberegardasatheoreticaltoolevaluatingabilityandallowtocomparewithmeansquareerror(MSE)performanceamongofcomplexkernelLMS(KLMS)methodsaccordingtothespecifiedkernelbandwidthandthelengthofdictionary.

  • 标签: LMS算法 收敛性分析 算法理论 高斯核 内核 自适应滤波算法
  • 简介:Amodifiedsequentiallinearprogrammingalgorithmispresented,whosesubproblemisalwayssolvable,fortheextendedlinearcomplementarityproblem(XLCP),theglobalconvergenceofthealgorithmunderassumptionofX-rowsufficiencyorX-columnmonotonicityisproved.Asaresult,asufficientconditionforexistenceandboundednessofsolutiontotheXLCPareobtained.

  • 标签: EXTENDED linear complementarity PROBLEM MODIFIED SLP
  • 简介:在这份报纸,我们建立周期的减小(CR)的集中结果为一个班的算法弱没有第n个最大的特征值的部分复合都是的假设的二次的矩阵多项式等于到2的overdamped。我们的结果能被郭,Higham和Tisseur认为是那的补充[暹罗J。矩阵肛门。Appl,30(2009),pp。1593-1613]。数字例子显示CR算法的集中行为被我们的理论大部分支配。

  • 标签: 还原算法 收敛性 过阻尼 二次方程式 循环 多项式算法
  • 简介:LetT:X→XbeanAxiomAdiffeomorphism,mtheGibbsstateforaHldercontinuousfunctionɡ.Assumethatf:X→R~disaHldercontinuousfunctionwith∫_X~(fdm)=0.Ifthecomponentsoffarecohomologouslyindependent,thenthereexistsapositivedefinitesymmetricmatrixσ~2:=σ~2(f)suchthatS~fn√nconvergesindistributionwithrespecttomtoaGaussianrandomvariablewithexpectation0andcovariancematrixσ~2.Moreover,thereexistsarealnumberA>0suchthat,foranyintegern≥1,Π(m*(1√nSfn),N(0,σ~2)≤A√n,wherem*(1√nS~fn)denotesthedistributionof1√nS~fnwithrespecttom,andΠistheProkhorovmetric.

  • 标签: 微分同胚 极限定理 中央 多维 速度 正定对称矩阵
  • 简介:ThenonconformingWilson’sbrickclassicallyisrestrictedtoregularhexahedralmeshes.LesaintandZlamal[6]relaxedthisconstraintforthetwo-dimensionalanalonueofthiselementInthispaperweextendtheirresultstothreedimensionsandprovethatandwhereuistheexactsolution,u_histheapproximatesolutionandistheusualnormfortheSobolevspaceH~1(?).

  • 标签: CONVERGENCE NONCONFORMING Wilson’s BRICK hexahedral meshes.
  • 简介:1.IntroductionTherehasbeenalotofliterature(see[1]--[61and[12])ontheparalleliterativemethodsforthelarge--scalesystemoflinearequationsinthesenseofmatrixmultisplittingsincethepioneeringworkofO’LearyandWhite(see[l])waspublishedin1985.Oneofthemostrecentre...

  • 标签: Solution of linear systems ASYNCHRONOUS PARALLEL
  • 简介:为在间隔上可测量的某局部地围住的功能f[0,)我们在那些点x估计了修改Szasz-Mirakyan操作员Mnf的集中的率[0,)在哪个站在一起的限制f(?敢慨楶畯?景琠敨洠汵楴瘭牡慩整?牥獮整湩瀠汯湹浯慩獬??湯琠敨搠搭浩湥楳湯污猠浩汰硥匠?d

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  • 简介:让C是真实Banach空间E的一个非空的关上的凸的子集。让S:C→C是印射的quasi-nonexpansive,让T:C→C一asymptoticallydemicontractive并且一致地印射的Lipschitzian,和让的F:={xεC:Sx=x和Tx=x}≠0。让{xn}n≥0顺序从任意的x0εC被产生由我们为反复的顺序的强壮的集中证明必要、足够的条件{xn}到F的一个元素。这些扩大并且改善穆尔和Nnoli的最近的结果。

  • 标签: 收敛分析 巴拿赫空间 数学理论 分析方法
  • 简介:Theauthorsgiveaproofoftheconvergenceofthesolutionoftheparabolicapproximationu^εt+divf(x,t,u^ε)=ε△u^εtowardstheentropicsolutionofthescalarconservationlawut+divf(x,t,u)=0inseveralspacedimensions.Foranyinitialconditionu0∈L^∞(R^N)andforalargeclassofHuxf,theyalsoprovethestrongconvergeinanyL^plocspace,usingthenotionofentropyprocesssolution,whichisageneralizationofthemeasure-valuedsolutionsofDiPerna.

  • 标签: 收敛性 抛物型逼近 守恒定律 多维空间
  • 简介:Inthispaper,someapproximationformulaeforaclassofconvolutiontypedoublesingularintegraloperatorsdependingonthreeparametersofthetype(Tλf)(x,y)=∫ba∫baf(t,s)Kλ(t-x,s-y)dsdt,x,y∈(a,b),λ∈A[0,∞),(0.1)aregiven.HerefbelongstothefunctionspaceL1(〈a,b〉2),where〈a,b〉isanarbitraryintervalinR.Inthispaperthreetheoremsareproved,oneforexistenceoftheoperator(Tλf)(x,y)andtheothersforitsFatou-typepointwiseconvergencetof(x0,y0),as(x,y,l)tendsto(x0,y0,l0).Incontrasttopreviousworks,thekernelfunctionsKl(u,v)don'thavetobe2p-periodic,positive,evenandradial.Ourresultsimproveandextendsomeofthepreviousresultsof[1,6,8,10,11,13]inthreedimensionalframeandespeciallytheveryrecentpaper[15].

  • 标签: Fatou-type convergence CONVOLUTION TYPE double SINGULAR
  • 简介:在渗透雷达(GPR)的地面的一个新奇喧嚷抑制方法被建议。初步的结果被使用分辨率改进了处理的目标(旅行)获得。初步的结果将为旅行重复被用作起始的输入。所有旅行重复步是以前的旅行结果和初步的结果的适应线性联合。这适应联合策略能平衡喧嚷抑制和目标信息保护,它在喧嚷抑制研究被看作一个麻烦矛盾和一个长期的问题。当重复结果的矩阵熵收敛时,算法能在喧嚷抑制和目标保护两个都完成好结果。试验性的结果证明新算法超过存在途径。

  • 标签: 抑制方法 雷达杂波 探地雷达 收敛 矩阵 杂波抑制