简介:
简介:Inthispaper,anotionofnegativesidep-mixing(p-mixing)whichcanberegardedasasymptoticnegativeassociationisdefined,andsomeRosenthaltypeinequalitiesforp-mix-ingrandomfieldsareestablished.Thecompleteconvergenceandalmostsuresummabilityontheconvergencerateswithrespecttothestronglawoflargenumbersarealsodiscussedforp--mixingrandomfields.Theresultsobtainedextendthosefornegativelyassociatedsequencesandp'-mixingrandomfields.
简介:在这份调查报纸,我们在边界元素方法(BEM)的hp版本的最近的开发报导。作为我们认为弱单个的模型问题和平面、开的表面上的第一种类型的hypersingular积分方程。我们证明Galerkin答案(在几何网孔上与hp版本计算了)向不可分的方程的准确答案快指数地收敛。一个hp适应的算法被给,hp版本BEM的实现为性恶的边界元素僵硬矩阵和有效preconditioners的选择被讨论。我们也为在接触条件仅仅在Gauss-Lobatto点的分离集合上被强制的线性弹性解决Signorini接触问题评论hp版本BEM的使用。数字结果被介绍它加重理论结果。[从作者抽象]
简介:让A是现代派的pSteenrod代数学和S在p局部性的范围光谱,在p是一个奇怪的素数的地方。在2001,林在被代表由的范围的稳定的homotopy检测了一个新家庭(b_oh_n-h_1b_(n-1))∈Ext_A~(3,(p~n+p)q)(Z_p,Z_p)在亚当斯光谱顺序。同时,他证明了那i_*(h_1h_n)∈Ext_A~(2,(p~n+p)q)(H~*M,Z_p)是在亚当斯的一个永久周期光谱顺序并且收敛到重要元素ξ_n∈π_((p~n+p)q-2)M。在这糊,与林一起“s结果,我们使用亚当斯光谱顺序和5月光谱检测homotopy元素jj的一个新重要家庭的顺序”j酒吧γ~si酒吧i“在范围的稳定的homotopy组的ξ_n。新的具有度p~nq+sp~2q+spq+(s-2)q+s-6并且被h_1h_nγ_s在E_2~代表直到非零数量(s+2,*)亚当斯的术语光谱顺序,在此p≥7,q=2(p-1),n≥4和3≤s
简介:Thepurposeofthispaperistointroduceasplitgeneralizedmixedequilibriumproblem(SGMEP)andconsidersomeiterativesequencestofindasolutionofthegeneralizedmixedequilibriumproblemsuchthatitsimageunderagivenboundedlinearoperatorisasolutionofanothergeneralizedmixedequilibriumproblem.Weobtainsomeweakandstrongconvergencetheorems.
简介:在这份报纸,我们建议二种不同标准并且使用他们判定Durand紧排方法的集中并且把获得的结果与另外的方法作比较。[从作者抽象]
简介:Inthisstudy,weuseinexactnewtonmethodstofindsolutionsofnonlinear,nondifferenti-ableoperatorequationsonBanachspaceswithaconvergencestructure.ThistechniqueinvolvestheintroductionofageneralizednormasanoperatorfromalinearspaceintoapartiallyorderedBanachspace.Inthiswaythemetricpropertiesoftheexaminedproblemcanbeanalyzedmoreprecisely.Moreover,thisapproachallmvsustoderivefromthesametheorem,ontheonehand,semi-localresultsofKantorovich-type,andontheotherhand,globalresultsbasedonmono-tonicityconsiderations.Furthermore,iveshowthatspecialcasesofourresultsreducetothecorrespondingonesalreadyintheliterature.Finally>ourresultsareusedtosolveintegralequationsthatcannotbesolvedwithexistingmethods.
简介:Therearemanyacceleratingconvergencefactors(ACFs)forlimitperiodiccontinuedfractionK(an/1)(an→a≠0).Inthispaper,somecharacteristicsandcomparativetheoremsareobtainedonACFs.TworesultsaregivenformostfrequentlyusedACFs.
简介:Inthispaperwestudytheconvergenceofadaptivefiniteelementmethodsforthegeneralnon-affineequivalentquadrilateralandhexahedralelementson1-irregularmesheswithhangingnodes.Basedonseveralbasicingredients,suchasquasi-orthogonality,estimatorreductionandD(o|¨)flermarkingstrategy,convergenceoftheadaptivefiniteelementmethodsforthegeneralsecond-orderellipticpartialequationsisproved.OuranalysisiseffectiveforallconformingQ_melementswhichcoversboththetwo-andthree-dimensionalcasesinaunifiedfashion.
简介:Thispaperpresentsatrustregiontwo-phasemodelalgorithmforsolvingtheequalityandboundconstratinednonlinearoptimizationproblem.Aconceptofsubstationarypointisgiven.Undersutableassumptions.theglobalconvergenceofthisalgorithmisprovedwithoutassumingthelinearindependenceofthegradientofactiveconstraints.Anumericalexampleisalsopresented.
简介:Inthepaper,thestrongconvergencepropertiesfortwodifferentweightedsumsofnegativelyorthantdependent(NOD)randomvariablesareinvestigated.Let{Xn,n≥1}beasequenceofNODrandomvariables.Theresultsobtainedinthepapergeneralizethecorrespondingonesfori.i.d.randomvariablesandidenticallydistributedNArandomvariablestothecaseofNODrandomvariables,whicharestochasticallydominatedbyarandomvariableX.Asabyproduct,theMarcinkiewicz-ZygmundtypestronglawoflargenumbersforNODrandomvariablesisalsoobtained.
简介:1.IntroductionAssumethatwearefindingtheminimizerofthefollowingunconstrainedoptimizationproblemminf(x),(1.1)acReandassumethecurrentpointisxk’TOcalculatexk+1fromxkbyalinesearchmethod,thefollowingiterationXk+1~Xk+Akpk,k~1,2,’’’(1.2)isapplied.IntheBFGSal...
简介:Mathematicalprogramswithcomplementarityconstraints(MPCC)isanimportantsubclassofMPEC.ItisanaturalwaytosolveMPCCbyconstructingasuitableapproximationoftheprimalproblem.Inthispaper,weproposeanewsmoothingmethodforMPCCbyusingtheaggregationtechnique.AnewSQPalgorithmforsolvingtheMPCCproblemispresented.Ateachiteration,themasterdirectioniscomputedbysolvingaquadraticprogram,andthereviseddirectionforavoidingtheMaratoseffectisgeneratedbyanexplicitformula.Asthenon-degeneracyconditionholdsandthesmoothingparametertendstozero,theproposedSQPalgorithmconvergesgloballytoanS-stationarypointoftheMPECproblem,itsconvergencerateissuperlinear.Somepreliminarynumericalresultsarereported.
简介:The(Nrlund)logarithmicmeansoftheFourierseriesoftheintegrablefunctionfis:1/l_nsumfromk=1ton-1S_k(f)/(n-k),wherel_n:=sumfromk=1ton-11/kInthispaperwediscusssomeconvergenceanddivergencepropertiesofthislogarithmicmeansoftheWalsh-Fourierseriesoffunctionsintheuniform,andintheL~1Lebesguenorm.Amongothers,asanapplicationofourdivergenceresultswegiveanegativeanswertoaquestionofMóriczconcerningtheconvergenceoflogarithmicmeansinnorm.
简介:让G是在有K-quasicon正式边界的复杂飞机的一个有限领域,0是的z在G和p的一个任意的固定的点>0。让(z)是与半径r的到磁盘上的从G的保角的印射0>0并且在起源集中了0,使正常化由(z0)=0并且(z0)=1。让我们给了$\varphi_p\left(z\right):=\int_{x_0}^x{\left[{\phi\left(\zeta\right)}\right]^{2/8}}d\zeta$,并且让n,p(z)是为对的度n的概括Bieberbach多项式(G,z0)那最小化不可分的$\iint\limits_c{\left|{\varphi_p\left(z\right)-P_x^1(z)}\right|^pd0_x}$在度n的所有多项式的班$\mathop\prod\limits_n$并且令人满意条件Pn(z0)=0并且Pn(z0)=1。在我们证明概括Bieberbach多项式n的一致集中的这个工作,p(z)到在$p的情况下的$\barG$上的p(z)>2-\frac{{K^2+1}}{{2K^4}}$。
简介:Thequasilinearhyperbolicequationwithnonlineardampingisconsideredinthispaper,anewasymptoticprofileforthesolutiontotheequationisobtainedbysuitablychoosingtheinitialdataofthecorrespondingparabolicequation,theconvergenceratesofthenewprofilearebetterthanthatobtainedbyNishihara(1997,J.DifferentialEquations137,384-395)andH.-J.Zhao(2000,J.DifferentialEquations167,467-494).