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简介：Theproblemofrelatingtheeigervaluesofann×nHermitianmatrixtothoseofitsRayleigh-Ritzapproximationisconsidered.ThesameresidualboundforunitarilyinvariantnormsonHermilianmatricesisobtainedevenwithouttheorlhonormalandRayleigh-RitzassumptionsinStewartandSun’sbook[9,TheoremIV.4.14].TheresultcanalsobeextendedtonearlyHermitianmatrices.

简介：让Gn(C)是概括circulant的三明治semigroup有三明治矩阵C和GC(Jn)的布尔矩阵在Gn(C)的所有原始矩阵的集合。在这份报纸，为在原始的semigroupGn(C)的A的一些必要、足够的条件被给。我们也证明GC(Jn)是Gn(C)的subsemigroup。

简介：矩阵A∈M如果有积极明确的Hermite矩阵H，n(C)被称为概括正常以便哈是正常的。在这篇论文，这些矩阵被调查，他们在一致的意义的正规形式，invariants和相对性质被获得。

简介：ＳＩＧＮ－ＲＥＶＥＲＳＡＬＰＲＯＰＥＲＴＹＦＯＲＦ－ＭＡＴＲＩＣＥＳＡＮＤＮ－ＭＡＴＲＩＣＥＳＸＵＳｏｎｇ（ＧｒａｄｕａｔｅＳｃｈｏｏｌ，ＣｈｉｎａＡｃａｄｅｍｙｏｆＲａｉｌｗａｙＳｃｉｅｎｃｅｓ，Ｂｅｉｊｉｎｇ１０００８１，Ｃｈｉｎａ）Ａｂｓｔｒａ...

简介：随机的矩阵的特征值在联合起来的圆躺着，是著名的，他们中的至少一个有价值一个。让{1，r2，，rN}尺寸N的随机的矩阵X的特征值是慦業祬眠祡吗？

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简介：Itisknownthatnearlyuncoupledirreduciblestochasticmatricesmustpossesssub-dominanteigenvaluesnearλ=1.Itisnaturetoaskwhethertheconverseistrue.HortfielandMeyer[2]gaveapositiveanswer.TheyintroducedthenotionofuncouplingmeasureofStochasticmatrices.Forann×nstochasticmatrixPtheuncouplingmeasureofPisde-finedasσ（p）=min((sumfromi∈M1,j∈M1(Pij))+(sumfromi∈M1,j∈M1(Pij)),wheretheminimumistakenoverall

简介：LetHbetherealquaternionfield,CandRbethecomplexandrealfieldrespectively.ClearlyR（?）C（?）H.LetHm×ndenotethesetofallm×nmatricesoverH.IfA=(ars)∈Hm×n,thenthereexistA1andA2∈Cm×nsuchthatA=A1+A2j.LetACdenotethecomplexrepresentationofA,thatisthe2m×2ncomplexmatrixAc=（（A1/A2）（-A2/A1））（see[1,2]）.WedenotebyADtheDrazininverseofA∈Hm×nwhichistheuniquesolutionofthee-

简介：Inthispaper,weshallprovethatforanypositiveintergern,thereexistsnon-trivialcommutativefinitesemigroupofidempotentconsistingofsomen×nrealquaternionmatri-ceswhichislowersemilattice.Intheprocessofsolvingthisproblemweshallseethatmanypropertiesofgeneralizedinversesforcomplexmatricesstillholdforquaternionsma-

简介：Since1980,Bellmaninequalitywasputforward.Thisarisesattention.In[2,3,4,5]thereweresomegoodresultspresented.InthispaperweshallobtaintheBellmanin-equalityofsimplicialmatrices.

简介：Thereisawellestablishedmultifractaltheoryforself-similarmeasuresgeneratedbynon-overlappingcontractivesimilutudes.Ourreporthereconcernsthosewithoverlaps.Inparticularwerestrictourattentiontotheimportantclassesofself-similarmeasuresthathavematrixrepresentations.ThedimensionspectraandtheLq-spectraareanalyzedthroughtheproductofmatrices.Thereareabnormalbehaviorsonthemultifrac-talstructureandtheywillbediscussedindetail.

简介：LetAbeann×nrealsymmetricmatrix.Aiscalledcompletelypositive(denoteA∈CP_n)ifA=B’Bforsomem×nnonnegativematrixBwheremisanintegeranddenotes

简介：Inthispaper,wefirstshowthatagenericm×nFiedlermatrixmayhave2m-n-1kindsoffactorizationswhichareverycomplicatedwhenmismuchlargerthann.Inthiswork,twospecialcasesareexamined,oneisanm×nFiedlermatrixbeingfactoredasaproductof(m-n)Fiedlermatrices,theotherisanm×(m-2)Fiedlermatrix'sfactorization.Thenwediscusstherelationamongthenumbersofparametersofthreegenericm×n,n×pandm×pFiedlermatrices,andobtainsomeusefulresults.

简介：LetQbetherealquaternionfield.LetthesetofallmatricesA=(αij)n×mbeQn×mwhereαij∈Q,A+betheconjugatetransposeofA.Overalongperiodoftime,therehavebeenvariouskindsofdefinitionsofdeterminantovertherealquaternionfield,butallofthemarenotconcerningtheentriesofthematrixdirectly,thatis"undirectly".Fromthepointofviewhowthetheoryofdetermi-nantisalgebraicallydevelopedforskewfield,itmaybeworthwhiledefineddeterminant

简介：让F是有|F的一块地|≥3，李·平·胡昂电子邮件：lipingmath@sohu.com全文预览(小，大)[3]。苍白，Z.X.：重游的矩阵的几何学，代数学和组合数学，一个国际国会，ICAC'97，香港，由K.P编辑了。Shum等，Springer-Verlag，新加坡，1999，477486[4]。黄，L.P.：在任何部门上的hermitian矩阵的毗邻保存bijection地图与复杂物响。ActaMathematicaSinica，英语系列，23(1)，95102(2007)[5]。黄，W.L.，Höfer，R.，苍白，Z.X.：毗邻保存地图砰对称并且hermitian矩阵。Aequations数学，67(12)，132139(2004)[6]。黄，W.L.，苍白，Z.X.：矩形的矩阵的毗邻保存地图砰。Beiträgezur代数学undGeometrie，45(2)，435446(2004)[7]。黄，L.P.：在戒指上的矩阵的几何学，科学出版社，北京，2006[8]。Šemrl，P.：在Hua矩形的矩阵的几何学的基本定理上。J。代数学，248，366380(2002)[9]。Cao，C.G.，黄，L.P.，唐，X.M.：保存在交替的矩阵上的等级2的添加剂地图。Afr。向国外散居J。数学，3(2)，107113(2005)[10]。你，H.，唐，X.M.：在对称、交替的矩阵的空格的等级添加的添加剂preservers。线性代数学Appl，380，185198(2004)[11]。张，X.：在在域和应用程序上的交替的矩阵空格的等级的添加剂preservers。线性代数学Appl，397(1)，325343(2005)[12]。张，X.：在在地上的交替的矩阵的空格的等级2的Linear/additivepreservers。线性代数学Appl，396(1)，91102(2005)[13]。Havlicek，H.，Šemrl，P.：从几何学到invertibilitypreservers。Studia数学，174，99109(2006)

简介：Inthispaper,weintroducetheapplicationofrandommatricesinmathematicalphysicsincludingRiemann-Hilbertproblem,nuclearphysics,bigdata,imageprocessing,compressedsensingandsoon.WestartwiththeRiemannHilbertproblemandstatetherelationbetweentheprobabilitydistributionofnontrivialzerosandtheeigenvaluesoftherandommatrices.Throughtherandommatricestheory,wederivethedistributionofNeutronwidthandprobabilitydensitybetweenenergylevels.Inaddition,theapplicationofrandommatricesinquantumchromodynamicsandtwodimensionalEinsteingravityequationsisalsopresentinthispaper.

简介：ThesimultaneousdiagonalizationbycongruenceofpairsofHermitianquatemionmatricesisdiscussed.Theproblemisreducedtoaparalleloneoncomplexmatricesbyusingthecomplexadjointmatrixrelatedtoeachquatemionmatrix.Itisprovedthatanytwosemi-positivedefiniteHermitianquatemionmatricescanbesimultaneouslydiagonalizedbycongruence.

简介：让D是任何部门戒指，并且让是k×k的集合(k≥2)矩形的块在D上的三角形的矩阵。为A，B∈，如果等级(−B)=1，然后，A和B被说由∼邻近、表示B。地图φ：被说如果，是在两个方向保存地图的毗邻∼B如果并且仅当φ(A)∼φ(B)。让G所有毗邻的转变组上在两个方向正在保存bijections。什么时候m1,nk≥2，我们描绘G的代数学的结构，并且获得矩形的块的基本定理在D上的三角形的矩阵。

简介：1.IntroductionThroughoutthispaperweshallusethefollowingnotation.RmxnandCoxsdenotethesetsofrealandcomplexmxnmatrices,respectively,R'andC'denotethesetsofrealandcomplexn-dimentionalcolumnvectors,respectively.ThesuperscriptHmeanstheconjugatetransposeofma...