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简介：由使用多重商单个珍视分解QQQQQ-SVD，我们在2x2个划分矩阵的g反、反射的内部逆学习块独立，并且证明一conjecture在[王一菊，暹罗J。矩阵肛门。Appl，19(2)，407-415(1998)]。

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：Wepresentnewsufficientconditionsonthesolvabilityandnumericalmethodsforthefollowingmultiplicativeinverseeigenvalueproblem:Givenann×nrealmatrixAandnrealnumbersλ1,λ2,...,λn,findnrealnumbersc1,c2,...,cnsuchthatthematrixdiag(c1,c2,...,cn)Ahaseigenvaluesλ1,λ2,...,λn.

简介：在这份报纸，作者考虑由一些侧面的边界数据在一个ultrahyperbolic方程决定一个系数或一个来源术语的反的问题。作者证明H?lder估计哪个是全球、本地的，关键工具是Carleman估计。

简介：这篇论文讨论与不同费用和界限限制在一棵树上限制的反的中心地点问题。作者首先证明这个问题能作为一系列组合线性节目被提出，然后O(∣V∣2木头∣V∣)解决这个问题的时间算法被介绍。为相等的费用盒子，作者进一步给O(∣V∣)时间算法。

简介：ByusingMoore-Penrosegeneralizedinverseandthegeneralsingularvaluedecompositionofmatrices,thispaperestablishesthenecessaryandsufficientconditionsfortheexistenceofandtheexpressionsforthecentrosymmetricsolutionswithasubmatrixconstraintofmatrixinverseproblemAX=B.Inaddition,inthesolutionsetofcorrespondingproblem,theexpressionoftheoptimalapproximationsolutiontoagivenmatrixisderived.

简介：isgainedbydeletingthekthrowandthekthcolumn（k=1,2,...,n）fromTn.Weputfor-wardaninverseeigenvalueproblemtobethat:Ifwedon’tknowthematrixT1,n,butweknowalleigenvaluesofmatrixT1,k-1,alleigenvaluesofmatrixTk+1,k,andalleigenvaluesofmatrixT1,ncouldweconstructthematrixT1,n.Letμ1,μ2,…,μk-1,μk,μk+1,…,μn-1,

简介：我们为分级的波浪考虑反的散布问题。我们分析反的出生的系列的集中并且在二和三种尺寸为球状地对称的媒介的案例在数字模拟学习它的使用。

简介：LetT1,nbeann×nunreducedsymmetrictridiagonalmatrixwitheigenvaluesλ1

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简介：让(g，[p])是在典型p的代数学地关上的域上的限制谎言代数学>0。然后，逆更高减少的包围代数学限制{us(g)|s}与碾过g*使分成的g的代表不同块。在这份报纸，我们为给定的g学习如此的无限维的代数学*。一个模块范畴等价在现代派的U(g)的子范畴之间被造并且。在减少的谎言代数学的情况中，(伪)概括了婴儿的Verma模块，他们的性质被描述。而且，与在概括减少的模块范畴的标准Levi形式的人物一起的简单模块的射影的封面的尺寸正是坚定的，并且在常规nilpotent的情况中的更高的交换被获得概括平常的交换。

简介：Theinversescatteringproblemsaretodetectthepropertyofobstaclesfromthemeasurementsoutsidetheobstacles.Oneofimportantresearchareasinthistopicistherecoveryofboundarypropertyforimpenetrableobstacles.Inthispaper,wewouldliketogiveabriefreviewabouttherecentlydevelopedsingularsourcemethods.Therearethreedifferentmethodsinthiscategory,namely,linearsamplingmethod,pointsourcemethodandprobemethod.Wealsopresentsomerecentnewresultsabouttheprobemethod.

简介：Acompoundneuralnetworkisutilizedtoidentifythedynamicnonlinearsystem.Thisnetworkiscomposedoftwoparts:oneisalinearneuralnetwork,andtheotherisarecurrentneuralnetwork.Basedontheinversetheoryacompoundinversecontrolmethodisproposed.Thecontrollerhasalsotwoparts:alinearcontrollerandanonlinearneuralnetworkcontroller.Thestabilityconditionoftheclosed-loopneuralnetwork-basedcompoundinversecontrolsystemisdemonstratedbasedontheLyapunovtheory.Simulationstudieshaveshownthatthisschemeissimpleandhasgoodcontrolaccuracyandrobustness.

简介：LetAandEbeann×nmatricesandB=A+E.DenotetheDrazininverseofAbyADInthispaper,wegiveanupperboundfortherelativeerror||BD-AD||/||AD||undercertaincircumstances.TheerrorboundofthesolutionforsingularequationsAx=b[Ind(A)=k,b∈R(Ak)]arealsoconsidered.

简介：Inthisnote,theauthorprovesthattheinverseproblemofsubmodularfunctionondigraphswithl∞objectivefunctioncanbesolvedbystronglypolynomialalgorithm.Theresultshowsthatmostinversenetworkoptimizationproblemswithl∞objectivefunctioncanbesolvedinthepolynomialtime.

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简介：Inversetechniqueisawidelyusedmethodinoceanography,butithasaproblemthattheretrievedsolutionsoftenviolatemodelpriorassumptions.Totunethemodelhasconsistentsolutions,aniterationapproach,whichsuccessivelyutilizestheposteriorstatisticsfornextroundinverseestimation,isintroducedandtestedfromarealcasestudy.Itisfoundthattheconsistencymaybecomeelusiveasthedeterminantsofsolutionandnoisecovariancematricesbecomezerointheiterationprocess.However,afterseveralstepsofsuchoperation,thedifferencebetweenposteriorstatisticsandthemodelprioronescanbegraduallyreduced.

简介：AnewmethodforapproximatingtheinerseLaplacetransformispresented.WefirstchangeourLaplacetransformequationintoaconvolutiontypeintegralequation,whereTikhonovregularizationtechniquesandtheFouriertransformationareeasilyapplied.WefinallyobtainaregularizedapproximationtotheinverseLaplacetransformasfinitesum

简介：TheBi-LSmethodbasedonQRdecompositionprovidesaconvenientframeworkforde-velopingefficientsubspacetrackingalgorithms.ToovercometheshortcomingofthebacksubstitutionstepandimprovetheparallelarchitectureoftheBi-LSalgorithms,aBi-LSsubspacetrackingalgorithmbasedonInverseQR(IQR)decompositionisdeveloped.TheproposedIQRiterativealgorithmforsubspacetrackingiswellsuitedfortheparallelimplementationinthesystolicarray.SimulationresultsarepresentedtoillustratetheeffectivenessoftheproposedIQRsubspacetrackingalgorithm.