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:ThinheavilyMg-dopedInGaNandGaNcompoundcontactlayerisusedtoformNi/AuOhmiccontacttop-GaN.ThegrowthconditionsofthecompoundcontactlayeranditseffectontheperformanceofNi/AuOhmiccontacttop-GaNareinvestigated.Itisconfirmedthatthespecificcontactresistivitycanbelowerednearlytwoordersbyoptimizingthegrowthconditionsofcompoundcontactlayer.WhentheflowrateratiobetweenMgandGagassourcesofp++-InGaNlayeris10.6%andthethicknessofp++-InGaNlayeris3nm,thelowestspecificcontactresistivityof3.98×10-5?·cm2isachieved.Inaddition,theexperimentalresultsindicatethatthespecificcontactresistivitycanbefurtherloweredto1.07×10-7?·cm2byoptimizingthealloyingannealingtemperatureto520℃.
简介:Inthispaper,weintroduceaconditionweakerthantheLpdifferentiability,whichwecallCpcondition.Weprovethatifafunctionsatisfiesthisconditionatapoint,thenthereexiststhebestlocalapproximationatthatpoint.WealsogiveanecessaryandsufficientconditionforthatafunctionbeLpdifferentiable.Inaddition,westudytheconvexityofthesetofclusterpointsofthenetofbestappoximationsoff,{Pe(f)}ase→0.
简介:Inthispaper,wesolvethequadraticp-functionalinequalities‖f(x+y)+f(x-y)-2f(x)-2f(y)‖≤‖ρ(2f((x+y)/2)+2f((x-y)/2)-f(x)-f(y))‖,(0.1)whereρisafixedcomplexnumberwith|ρ|<1,and‖2f((x+y)/2)+2f((x-y)/2)-f(x)-f(y)‖≤‖ρ(f(x+y)+f(x-y)-2f(x)-2f(y))‖,(0.2)whereρisafixedcomplexnumberwith|ρ|<1/2.Usingthedirectmethod,weprovetheHyers-Ulamstabilityofthequadraticρ-functionalinequalities(0.1)and(0.2)incomplexBanachspacesandprovetheHyers-Ulamstabilityofquadraticρ-functionalequationsassociatedwiththequadraticρ-functionalinequalities(0.1)and(0.2)incomplexBanachspaces.
简介:LetL=L0+VbethehigherorderSchrdigertypeoperatorwhereL0isahomogeneousellipticoperatoroforder2mindivergenceformwithboundedcoefficientsandVisarealmeasurablefunctionasmultiplicationoperator(e.g.,including(-?)m+V(m∈N)asspecialexamples).Inthispaper,assumethatVsatisfiesastronglysubcriticalformconditionassociatedwithL0,theauthorsattempttoestablishatheoryofHardyspaceHpL(Rn)(0<p≤1)associatedwiththehigherorderSchrdingertypeoperatorL.Specifically,wefirstdefinethemolecularHardyspaceHpL(Rn)bytheso-called(p,q,ε,M)moleculeassociatedtoLandthenestablishitscharacterizationsbytheareaintegraldefinedbytheheatsemigroupe-tL.
简介:Toeffectivelysolvetheagglomerationproblemsinthesolidstatereactionprocess,pre-addingglucoseisadoptedtothesynthesisofLiFePO4/CenergymaterialsusingFe–Pwasteslag.Theaverageparticle&grainsizeofLiFePO4/Cdecreases,andtheimpuritiesinLiFePO4/Ccompositesreducetoagreatextent.Itmakesgreatsensetothemassindustrialproduction.Theoptimumsynthesisconditionsdeterminedinthisworkarebasedontheorthogonalexperiments.Thesamplessynthesizedinascaleof500gexhibithighpurity,excellentelectrochemicalperformance,highreactionactivity,goodreversibility,andlowpolarizationlevel.Thedischargecapacitiesare145,134,117,and102mAh/gatthecurrentdensitiesof0.1C,0.2C,0.5Cand1C,respectively.ThisworkputsforwardapracticalsuggestionformassproducingenvironmentalbenignandlowcostLiFePO4/Cascathodematerialsoflithiumionbatteries.