简介：1IntroductionH-matriceshaveimportantroleinnumericalanalysisandmatrixtheory,etc.Inthispaper,severalpracticalcriteriaforH-matricesareobtained,towhichthematrixisnotnecessarybeadiagonallydominantmatrix,andthenumbersofrowswhicharenotdiago-naldominantcanben-1.Weintroducetheconceptofα-diagonallydominantmatrix,andbyusingtheconcepttoinvestigateH-matrices.

简介：Alooplessgraphonnverticesinwhichverticesareconnectedatleastbyaandatmostbybedgesiscalleda(a,b,n)-graph.A(b,b,n)-graphiscalled(b,n)-graphandisdenotedbyKbn(itisacompletegraph),itscomplementbyKbn.Anonincreasingsequencep=(d1,…,dn)ofnonnegativeintegersissaidtobe(a,b,n)graphicifitisrealizablebyan(a,b,n)-graph.Wesayasimplegraphicsequencep=(d1,…,dn)ispotentiallyK4—K2[K2-graphicifithasaarealizationcontaininganK4—K2[K2asasubgraphwhereK4isacompletegraphonfourverticesandK2[K2isasetofindependentedges.Inthispaper,wefindthesmallestdegreesumsuchthateveryn-termgraphicalsequencecontainsK4—K2[K2assubgraph.

简介：TheauthorsconsidertheextendedHeckegroupsH(λq)generatedbyT(z)=-1/z,S(z)=-1/(z+λq)andR(z)=1/-zwithλq=2cos(π/q)forq≥3aninteger.Inthispaper,theevensubgroupHe(λq),thesecondcommutatorsubgroupH"(λq)andtheprincipalcongruencesubgroupsHp(λq)oftheextendedHeckegroupsH(λq)arestudied.Also,relationsbetweenthemaregiven.

简介：在这份报纸，我们基于范围的楔学习comultiplications的homotopy逆和co-H-spaces的代数学的环的性质。我们也调查一个方法由使用一个组行动从旧的构造新comultiplications。我们首先对有的代数学的环感兴趣反向，力量联合并且为某comultiplications的Moufang性质。

简介：ThispaperdiscussestheconnectivityoftheessentialspectraofToeplitzoperatorswithsymbolsinH^∞-ConHardyspacesandweightedBergmanspacesforseveralcomplexvariables.

简介：ThispaperdealswiththeoutputfeedbackH∞controlproblemforaclassofnonlinearstochasticsystems.Basedonthelatestdevelopedtheoryofstochasticdissipation,anotableresultaboutthenonlinearH∞outputfeedbackcontrolofdeterministicsystemisgeneralizedtothestochasticcase.Finally,inthecasesofstatefeedbackandoutputfeedback,twofamiliesofcontrollersareprovidedrespectively.

简介：本文得到几个关于多变量Hp空间中函数Fourier系数的不等式.与单变量相应情形相比,我们的证明方法有较大的变化.

简介：Letq≥3beanoddnumber,abeanyfixedpositiveintegerwith(a,q)=1.Foreachintegerbwith1≤b1,itisclearthatthereexistsoneandonlyonecwith01≤b,c1/2φ(q).ThemainpurposeofthispaperistostudythedistributionpropertiesofE(a,q),andgiveasharperhybridmean-valueformulainvolvingE(a,q)andgeneralKloostermansums.

简介：SupposethatDisadivisionringinwhichthereisdefinedananti-automorphismα→(?)isinvolutorial,RisaleftvectorspaceoverD.Usingthegivenanti-automorphismα→(?),itiseasytoturnRintoarightvectorspaceoverDbysetingx(?)=ax.Bilinearformg(x,y)connectingtheleftvectorspaceRandtherightvectorspaceRisaHermitianscalar.

简介：本文中，给出了非奇异H-矩阵的新判定条件，改进了近期的相关结果，并用数值例子说明了所得结果判定范围的更加广泛性。

简介：Inthispaper,thegeneralMarcinkiewiczintegraloperatorμΩ.αontheH^pSobolevspacesundertheproperconditionofkernelΩ(x')isconsidered.ItisobtainedthatμΩ.αisboundedfromHα^ptoL^pforsomeO

简介：Wedesignafamilyof2DH~m-nonconformingfiniteelementsusingthefullP_(2m-3)degreepolynomialspace,forsolving2mthellipticpartialdifferentialequations.Theconsistenterrorisestimatedandtheoptimalorderofconvergenceisproved.Numericaltestsonthenewelementsforsolvingtri-harmonic,4-harmonic,5-harmonicand6-harmonicequationsarepresented,toverifythetheory.

简介：Thepaperinvestigatestheh-pversionoftheinfiniteelementmethod.Anexponentialconvergencecanbeabtainedbyasmallamountofcomputingwork.

简介：§1.IntroductionInthispaperweconsidertheparabolicsystem（?）t/（?）ui-div(|▽u|p-2▽ui)=0（1≤i≤m）,withp>1,whereui=ui（x,t）,▽=gradxandxvariesinanopendomainΩ（?）RN.Thesystemisdegenerateifp>2orsingularif1

简介：<正>海南省2013年中考数学第23题是以正方形为基本图形,综合三角形、四边形与图形变换等主干知识的一道"压轴题",是一道极具"灵气"的题目,注重对数学思想方法与学生探究能力的考查.一、试题赏析海南省2013年初中毕业生学业考试数学科试题第23题为:

简介：Let?befullLaplacianonH-typegroupG.ThenforeverycompactsetD■G,alocalestimateoftheSchr¨odingermaximaloperatorholds,thatis,∫_(D)sup|e~(it?)f(x)|~2dx■||f||_(H~s)~2,s>1/2.Wealsoshowthattheaboveinequalityfailswhens<1/4.

简介：在这份报纸，我们证明为非线性的进化方程ut=螖u+螞u的起始边界的价值问题吗？u3为所有k鈮?在Sobolev空间Hk拥有一个全球引起注意的人0，它吸引Hk的任何围住的域(在Hk标准的惟)。这结果被为操作员的线性semigroup使用一种重复技术和整齐估计建立，它从盒子k扩大古典结果[0，1]到盒子k[0，鈭?。

简介：ThispaperdealswiththeapproximatesolutionoftheFredholmequationLu=fofthesecondkindwithf∈H’(Γ).First,wegivetheorderofthen-theoptimalradiusintheworstcasesetting.Then,weshowthattheGalerkinmethodusing2n+1innerproductsoffhasminimalerror.Finally,wegivetheestimateoftheε-complexityoftheFredholmproblemofthesecondkindandGalerkinmethodintheworstcasesetting.

简介：作者在H2(Bn)上给一个作文操作符的必要标准的上面的界限，它在S.S定义的更高维的值分发理论包含数的函数。Chern。一个标准也被给保证H2(Bn)上的作文操作员被围住或压缩。

简介：Inthispaper,theconceptofthes-doublydiagonallydominantmatricesisintroducedandthepropertiesofthesematricesarediscussed.Withthepropertiesofthes-doublydiagonallydominantmatricesandthepropertiesofcomparisonmatrices,someequivalentconditionsforH-matricesarepresented.TheseconditionsgeneralizeandimproveexistingresultsabouttheequivalentconditionsforH-matrices.Applicationsandexamplesusingthesenewequivalentconditionsarealsopresented,andanewinclusionregionofk-multipleeigenvaluesofmatricesisobtained.