简介：Inthispaper,forgenerallinearmethodsappliedtostrictlydissipativeinitialvalueprobleminHilbertspaces,weprovethatalgebraicstabilityimpliesB-convergence,whichextendsandimprovestheexistingresultsonRunge-Kuttamethods.Specializingourresultsforthecaseofmulti-stepRunge-Kuttamethods,aseriesofB-convergenceresultsareobtained.

简介：Inthispaper,basedontheimplicitRunge-Kutta(IRK)methods,wederiveaclassofparallelschemethatcanbeimplementedontheparallelcomputerswithNs(Nisapositiveevennumber)processorsefficiently,anddiscusstheiterativelyB-convergenceoftheNewtoniterativeprocessforsolvingthealgebraicequationsofthescheme,secondlywepresentastrategyprovidinginitialvaluesparallellyfortheiterativeprocess.Finally,somenumericalresultsshowthatourparallelschemeishigherefficientasNisnotsolarge.

简介：

简介：这篇论文在γ_上计算刺地图2并且证明它被2b_(2,0)代表在ASS的h_(1,2)。作者也计算b_(2,0)微分的更高的5月，从哪个它被证明那γ_3(b_0h_n-h_1b_(n-1))为2≤s

简介：我们从集中的繁殖的观点在复杂近似的地里讨论一些古典定理和一些最近的结果。我们也在C2在集中的繁殖上证明一条定理。

简介：Acharacterizationoftheconvergencedomainsofpolynomialseriesisdisucssed.theminimalconvergencedomainforakindofpolynomialseriesisshown.

简介：Inthepaper,weinvestigatethecompleteconvergenceandcompletemomentconvergenceforthemaximalpartialsumofmartingalediferencesequence.Especially,wegettheBaum–Katz-typeTheoremandHsu–Robbins-typeTheoremformartingalediferencesequence.Asanapplication,astronglawoflargenumbersformartingalediferencesequenceisobtained.

简介：InordertosolvethelinearalgebraicsystemAX=bincomplexdomain,whereAisaweaklycyclicofindexp=3matrix(p-cyclicmatrix),theconvergencepropertiesofSORarestudiedinthepaper.Insection1,wegivesomedefinitions.Insection2,thenecessaryconditionsforconvergentcomplexSORaregivenmoreoverthenecessaryandsufficientconditionsinsomespecialsituationsarealsopresented.Insection3,weexpandthetechniquesappliedbyR.S.Vargaetal.,anditisestablishedthattheresultsofR.S.Vargaet.al.arespecialcasesofourwork.

简介：

简介：Inthispaper,weprovetheconvergenceofthenodalexpansionmethod,anewnumericalmethodforpartialdifferentislequationsandprovidetheerrorestimatesofapproximationsolution.

简介：ＯＮＴＨＥＣＯＮＶＥＲＧＥＮＣＥＯＦＰＡＲＡＬＬＥＬＢＦＧＳＭＥＴＨＯＤＣｈｅｎＺｈｏｎｇＦｅｉＰｕｓｈｅｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＷｕｈａｎＵｎｉｖｅｒｓｉｔｙ，Ｗｕｈａｎ４３００７２，Ｃｈｉｎａ．）ＺｈｏｕＹｕｎｃａｉ...

简介：Fortheimprovedtwo-sidedprojectedquasi-Newtonalgorithms,whichwerepresentedinPartI,weproveinthispaperthattheyarelocallyone-steportwo-stepsuperlinearlyconvergent.Numericaltestsarereportedthereafter.ResultsbysolvingasetoftypicalproblemsselectedfromliteraturehavedemonstratedtheextremeimportanceofthesemodificationsinmakingNocedal&Overton’soriginalmethonpractical.Furthermore,theseresultsshowthattheimprovedalgoritnmsareverycompetitiveincomparisonwithsomehighlypraisedsequentialquadraticprogrammingmethods.

简介：Inthispaper,strongsummabilityofCesaromeans(ofcriticalorder)ofFourier-Laplaceseriesonunitsphereisdiscussed.ThePointwiseconvergenceconditionsareestablished.Theresultsofthispaperareanal-ogoustothoseofsingleandmultipleFourierseries.

简介：Domaindecompositionmethodandmultigridmethodcanbeunifiedintheframeworkofthespacedecompositionmethod.Thispaperhasobtainedanewresultontheconvergencerateofthespacedecompositionmethod,whichcanbeappliedtosomenonuniformlyellipticproblems.

简介：Inthispaperweprovethattheasymptoticrateofconvergenceofthemod-ifiedGauss-Seidelmethodofanon-singularM-matrixisamonotonicfunctionforpreconditionparameters0≤αi≤1-2,(i=1,2,…,n-1).

简介：非教师学习，组织工会，记忆，和噪音抵抗是特征的，人工的免疫系统是聪明的信息处理的领域里的一个研究焦点。基于有免疫力的有机体和同种细胞的选择的基本原则，这篇文章介绍聚类自我改编的算法特征的polyclonal。根据算法的核心想法，在人工的免疫系统的各种各样的有免疫力的操作符在聚类的进程被采用；而且，聚类数字根据亲密关系功能被调整。再结合操作员的介绍能有效地在一张产生人口提高单个抗体的差异，以便为答案的寻找的范围被扩大，算法的早熟的现象被避免。而且，不一致的变化操作符的介绍提高适应性并且优化本地答案寻求的性能。同时，算法的集中被加速。另外，文章也由采用Markov链证明算法的集中。数据模拟实验的结果证明算法能够获得合理、有效的簇。

简介：

简介：由使用一般集中假设与立方的顺序为重复的一个家庭建立一条会聚的定理。使用立方的majorizing功能的劣势；majorizing顺序的集中；主要集中定理的概述。

简介：ThisarticleinvestigatestheconvergenceandgrowthofmultipleDirichletseries.TheValironformulaofDirichletseriesisextendedton-tupleDirichletseriesandanequivalencerelationbetweentheorderofn-tupleDirichletseriesanditscoefficientsandexponentsisobtained.

简介：