简介:本文讨论矩阵方程ATX+xTA=C的一般解及其最佳逼近解的正交投影迭代解法.首先,利用矩阵的结构特点及相关性质,并借助矩阵空间的相关理论,给出求该矩阵方程一般解正交投影迭代算法;其次,根据奇异值分解、F-范数正交变换不变性证明算法的收敛性并推导出算法的收敛速率估计式,当方程相容时,该算法收敛于问题的极小范数解,且对该算法稍加修改,就可得到相应最佳逼近解;最后,用数值实例验证算法的有效性.
简介:Wereportonanunexplainedhighstatisticssignalthatmayindicatetheexistenceofasuperlightscalarboson[1].Thequestionwhetherthereexistsa(scalar)bosonwithamassofabout38MeVdoesnotdependexclusivelyontheexistenceofaresonance-likestructure(Fig.1)intheexperimentaldataofRef.[2],yetitisatpresenttheclearestsignalwehavefoundinmanyexperiments.
简介:ThefirststarsintheearlyUniversewereformedabout400millionyearsafterthebigbang.VerificationoftheexistenceofthesestarsisimportantforourunderstandingoftheevolutionoftheUniverse[1].IthasbeenpredictedthatforPopulation-IIIstellarproductionyields,theabundancesofodd-Zelementsareremarkablydeficientcomparedtotheiradjacenteven-Zelements[2].Astronomersaresearchingforlong-lived,lowmassstarswiththeuniquenucleosyntheticpatternmatchingthepredictedyields[3].
简介:Theresearchacceleratorsaregrowinginenergyandpowerwhichinducesanincreaseoftheprojectcosts(Fig.1).TheRFcavitiesandpowersupplymainlycontributethecostofthesuperconductinglinac,whichisacompetitivetechnologyforhighpowermachine.AcodewithoptimizationalgorithmisdevelopedtooptimizethebetavalueofSCcavityfamilyandtransitionenergytoincreasetheTTFvalueofthewholelinac.
简介:Anewspectralproblemisproposed,andnonlineardifferentialequationsofthecorrespondinghierarchyareobtained.Withthehelpofthenonlinearizationapproachofeigenvalueproblems,anewfinite-dimensionalHamiltoniansystemonR2nisobtained.Ageneratingfunctionapproachisintroducedtoprovetheinvolutionofconservedintegralsanditsfunctionalindependence,andtheHamiltonianflowsarestraightenedbyintroducingtheAbel-Jacobicoordinates.Atlast,basedontheprinciplesofalgebracurve,thequasi-periodicsolutionsforthecorrespondingequationsareobtainedbysolvingtheordinarydifferentialequationsandinversingtheAbel-Jacobicoordinates.
简介:InstitutionofModernPhysics(IMP)hasdesigned,fabricatedandinstalledthefirstSRFcavityelectropolishingsystemofChina.It’ssizedfor1.3GHzSRFcavities,andalsocanworksformultiplecellcavitieswithfurtherupgradeofstructure.
简介:ThedevelopmentoftheHalfWaveResonator(HWR010)isbasedontheChinaADSproject.TheHWR010operatesat162.5MHzandcanprovidemorethan0.78MVofacceleratingvoltagepercavityforprotonwithopt=0.10.ThegoaloftheRFpropertiesistogetalowerheatloadandahigheracceleratinggradient,whicharedeterminedbyahigherR/Q0andlowerpeaksurfacefields(Bpk/EaccandEpk/Eacc).InordertooptimizetheHWRgeometryparameters,CST-MWSisusedtoconducttheRFsimulation.TheoptimizedRFparametersareshowinTable1.