简介：图G是一个简单，图G的补图记为^－G，如果G的谱完全由整数组成，就称G是整谱图，鸡尾酒会图CP（n）=K2n-nK2（K2n是完全图）和完全二部图Kα,α都是整谱图^[1]。^—μ1表示图类^－αKα,αUβCP（b）的一个主特征值，本文确图了当^-μ1=2b＋1时，图类中^－αKα,αUβCP（b）的所有的整谱图。

简介：Inthispaper,standardandeconomicalcascadicmultigridmethodsareconsideredforsolvingthealgebraicsystemsresultingfromthemortarfiniteelementmethods.Bothcascadicmultigridmethodsdonotneedfullellipticregularity,sotheycanbeusedtotacklemoregeneralellipticproblems.Numericalexperimentsarereportedtosupportourtheory.

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简介：CascadicmultigridtechniqueformortarWilsonfiniteelementmethodofhomogeneousboundaryvalueplanarlinearelasticityisdescribedandanalyzed.FirstthemortarWilsonfiniteelementmethodforplanarlinearelasticitywillbeanalyzed,andtheerrorestimateunderL2andH1normisoptimal.Thenacascadicmultigridmethodforthemortarfiniteelementdiscreteproblemisdescribed.Suitablegridtrans-feroperatorandsmootheraredevelopedwhichleadtoanoptimalcascadicmultigridmethod.Finally,thecomputationalresultsarepresented.

简介：Inthepresentpaperweextendthemethodpresentedby0.AxelssonandP.VassilevskicalledAMLPversion(i)ofrecursivelyconstructingpreconditionerforthestiffnessmatrixinthediscretizationofselfadjointsecondorderellipticboundaryvalueproblems.Inourextendedmethodthesystemstobeeliminatedoneachlevelcontainingthemajorblockmatricesofthegivenmatrixcanbesolvedapproximately,whiletheymustbesolvedexactlyintheoriginalmethod.

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

简介：AimsandScope:NumericalMathematics:Theory,MethodsandApplications(NM-TMA)publisheshigh-qualityoriginalresearchpapersontheconstruction,analysisandapplicationofnumericalmethodsforsolvingscientificproblems.Importantresearchandexpositorypapersdevotedtothenumericalsolutionofmathematicalproblemsarisinginallareasofscience

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简介：AimsandScope:NumericalMathematics:Theory,MethodsandApplications(NM-TMA)publisheshigh-qualityoriginalresearch

简介：AimsandScope:NumericalMathematics:Theory,MethodsandApplications(NM-TMA)publisheshigh-qualityoriginalresearchpapersontheconstruction,analysisandapplicationofnumericalmethodsforsolvingscientificproblems.Importantresearchandexpositorypapersdevotedtothenumericalsolutionofmathematicalproblemsarisinginallareasofscienceandtechnologyareexpected.ThejournaloriginatesfromthejournalNumericalMathematics:AJournalofChineseUniversities(EnglishEdition).

简介：Inthispaper,theauthorsgivesomeapplicationsofF-uniformlydistributedsequences,whicharesuggestedintheirpreviouspaperunderthesametitle,inexperimen-taldesign,experimentswithmixtures,geometricprobabilityandsimulation.

简介：Somewaysofmultilevelrelaxedpreconditioningmatricesforthestiffnessmatrixinthediscretizationofselfadjointsecondorderellipticboundaryvalueproblemsareproposed.Forreason-ableassumptionsoftherelaxedfactorω,smallerrelativeconditionnumbersaregiven.Theoptimalrelaxedfactorωisderived,too.

简介：InthispaperweprovethattheconvergencerateofthemodifiedGauss-Seidelmethodisamonotonicfunctionforsomepreconditionparameters.

简介：AconicNewtonmethodisattractivebecauseitconvergestoalocalminimizzerrapidlyfromanysufficientlygoodinitialguess.However,itmaybeexpensivetosolvetheconicNewtonequationateachiterate.InthispaperweconsideraninexactconicNewtonmethod,whichsolvesthecouicNewtonequationoldyapproximatelyandinsonmunspecifiedmanner.Furthermore,weshowthatsuchmethodislocallyconvergentandcharacterizestheorderofconvergenceintermsoftherateofconvergenceoftherelativeresiduals.

简介：theAlternatingSegmentCrank-Nicolsonschemeforone-dimensionaldiffusionequationhasbeendevelopedin[1],andtheAlternatingBlockCrank-Nicolsonmethodfortwo-dimensionalproblemin[2].Themethodshavetheadvantagesofparallelcomputing,stabilityandgoodaccuracy.Inthispaperforthetwo-dimensionaldiffusionequation,thenetregionisdividedintobands,aspecialkindofblock.ThismethodiscalledthealternatingBandCrank-Nicolsonmethod.

简介：Resolventmethodsarepresentedforgeneratingsystematicallyiterativenumericalalgorithmsforconstrainedproblemsinmechanics.Theabstractframeworkcorrespondstoageneralmixedfiniteelementsubdif-ferentialmodel,withdualandprimalevolutionversions,whichisshowntoapplytoproblemsoffluiddynamics,transportphenomenaandsolidmechanics,amongothers.Inthismanner,Uzawa’stypemethodsandpenalization-dualityschemes,aswellasmacro-hybridformulations,aregeneralizedtononnecessarilypotentialnanlinearmechanicalproblems.