简介:有部分微分方程的优化问题在科学和工程的许多区域广泛地作为限制产生,特别地处于设计的问题。抑制PDE的优化问题的如此的类的解决方案通常是一项主要计算任务。因为为直接寻求抑制PDE的优化问题的答案的肤色,我们由使用Galerkin把它转变成僵绳点形式的线性方程的一个系统有限元素的discretization。为discretized线性系统,在这份报纸,我们构造一块对称并且block-lower-triangularpreconditioner,为解决抑制PDE的优化问题。两preconditioners利用系数矩阵的结构。为相应preconditioned矩阵的特征值和特徵向量的明确的表情被导出。当规则化参数是合适小的时,数字实现证明这些块preconditioners能为preconditionedGMRES方法导致令人满意的试验性的结果。[从作者抽象]
简介:1IntroductionandPreliminariesItiswellknownthatthesmallestsingularvalueofamatrixisimportantinmatrixthoeryandapplications.VarahandQi,Johnsongavesomeresultsonlowerboundofthesmallestsingularvalue[1—4].Here,weusetheblockpartitionedformofamatrixtoob-taingeneralizedlowerboundsforσn(A).Furthermore,byscalingwithamatrixDweob-tainanewlowerboundforσAofmatriceswhicharenotpositivedefinitematrices.
简介:Inthispaper,theL^2-boundednessofaclassofparametricMarcinkiewiczintegralμa,h^pwithkernelfunctionΩinBq^0.0(s^n-1)forsomeq>1,andtheradialfunctionh(x)∈l∞(L^s)(R+)for1
简介:Basedonelementarygrouptheory,theblockpivotmethodsforsolv-ingtwo-dimensionalelasticfrictionalcontactproblemsarepresentedinthispaper.Itisprovedthatthealgorithmsconvergewithinafinitenumberofstepswhenthefrictioncoefficientis'relativesmall'.Unlikemostmathematicalprogrammingmeth-odsforcontactproblems,theblockpivotmethodspermitmultipleexchangesofbasicandnonbasicvariables.
简介:WepresentsomerepresentationsforthegeneralizedDrazininverseofablockmatrixx=[abcd]inaBanachalgebraAintermsofa~dand(bc)~dundercertainconditions,extendingsomerecentresultrelatedtothegeneralizedDrazininverseofananti-triangularoperatormatrix.Also,severalparticularcasesofthisresultareconsidered.
简介:Thesymmetriclinearsystemgivesusmanysimplificationsandapossibilitytoadaptthecomputationstothecomputerathandinordertoachievebetterperformance.TheaimofthispaperistoconsidertheblockbidiagonalizationmethodsderivedfromasymmetricaugmentedmultiplelinearsystemsandmakeacomparisonwiththeblockGMRESandblockbiconjugategradientmethods.
简介:Aconnectedgraph,whoseblocksareallcliques(ofpossiblyvaryingsizes),iscalledablockgraph.LetD(G)beitsdistancematrix.Inthisnote,weprovethattheSmithnormalformofD(G)isindependentoftheinterconnectionwayofblocksandgiveanexplicitexpressionfortheSmithnormalforminthecasethatallcliqueshavethesamesize,whichgeneralizetheresultsondeterminants.
简介:Inthispaper,algorithmsforfindingtheinverseofafactorblockcirculantmatrix,afactorblockretrocirculantmatrixandpartitionedmatrixwithfactorblockcirculantblocksoverthecomplexfieldarepresentedrespectively.Inaddition,twoalgorithmsfortheinverseofafactorblockcirculantmatrixoverthequaterniondivisionalgebraareproposed.
简介:Anewpreparationmethodhasbeendevelopedforthermallystableporouspolyimidemicrospheres.Porouspolyimidemicrosphereswerepreparedusingtriblockcopolymersthatconsistedofathermallystablepolyimidederivedfrompyromelliticdianhydride/4,4’-oxydianilineasthecontinuousphaseandathermallylabilepolyetherasthedispersedphase.Spheresofcopolymersweregeneratedinanonaqueousemulsionandthengraduallyheatedtocompletetheimidizationtoformamicrophase-separatedstructure.Subsequently,thermaltreatmentataslightlyreducedpressureremovedthelabileblocksandproducedpores.Undersuitabledecompositionconditions,theporesizeoftheporouspolyimidewasintherangeof200-400nm.
简介:块在特征0的域上介绍了Zassenhaus代数学的某些类似物。块类型的无限维的简单谎言代数学由徐构造了的nongraded能被看作块代数学的归纳。在这份报纸,我们为块的谎言代数学与复合一一般线性谎言代数学基于有限维的无法缩减的重量模块打的four-devivationnongraded在鈥減olynomials鈥?上以增加和区别操作员构造无法缩减的模块的一个家庭。我们也发现一些无法缩减的商模块从被获得的submodules的一个新系列。关键词无法缩减的模块-nongraded谎言代数学-块类型先生(2000)的nongraded谎言代数学使分类17B10遭到-17B65由中国(资助号码10701002)的国家自然科学基础支持了