简介：WeconductedtheresearchonthecalculationoftheJordannormalformofamatrixfrom1993to1998.Inthisperiod,weobtainedsometheoreticalresults,alsodevelopedandimplementedaseriesofalgorithmsforthetheoreticalresults.Nowthisresearchiscompletedtosomedegree.TheGolub-Wilkinson’sProblemComputingtheJordandecompositionofamatrix,introducedbyG.H.GolubandJ.

简介：WeconsiderthemodificationsofthemonicHermiteandGegenbauerpolynomialsviatheadditionofonepointmassattheorigin.Somepropertiesoftheresultingpolynomialsarestudied;three-termrecurrencerelation,differentialequation,ratioasymptotics,hypergeometricrepresentationaswellas,forlargen,thebehaviouroftheirzeros.

简介：Thepresentpaperdealswiththeaveragecase,complexityoftheshift-invariantproblem.Themainaimistogiveanewproofoftheupperboundofaverageerroroffiniteelementmethod.OurmethodisbasedonthetechniquesproposedbyHeinrich(1990).WealsopointoutanessentialerrorregardingtheproofoftheupperboundinA.G.Werschulz(1991).

简介：Intheflatcase,theanswertotheproblemposedbySteenbrinkandZuckerisgiven.

简介：Datacollectedonthesurfaceoftheearthoftenhasspatialinteraction.Inthispaper,anon-isotropicmixingspatialdataprocessisintroduced,andundersuchaspatialstructureanonparametrickernelmethodissuggestedtoestimateaspatialconditionalregression.Undermildregularities,sufficientconditionsarederivedtoensuretheweakconsistencyaswellastheconvergenceratesforthekernelestimator.Ofinterestarethefollowing:(1)Alltheconditionsimposedonthemixingcoefficientandthebandwidtharesimple;(2)Differentlyfromthetimeseriessetting,thebandwidthisfoundtobedependentonthedimensionofthesiteinspaceaswell;(3)Forweakconsistency,themixingcoefficientisallowedtobeunsummableandthetendencyofsamplesizetoinfinitymaybeindifferentmannersalongdifferentdirectioninspace;(4)However,tohaveanoptimalconvergencerate,fasterdecreasingratesofmixingcoefficientandthetendencyofsamplesizetoinfinityalongeachdirectiona

简介：Assumethatm≥2,pisaprimenumber,(m,p(p-1))=1,-1(Z/mZ)~*and[(Z/mZ)~*:]=4.Inthispaper,wecalculatethevalueofGausssumG(X)=Σ_(x∈F_q~*)x(x)ζ_p~(T(x))overF_q,whereq=p~f,f=((m))/4xisamultiplicativecharacterofF_qandTisthetracemapfromF_qtoF_p.Underourassumptions,G(x)belongstothedecompositionfieldKofpinQ(ζm)andKisanimaginaryquarticabeliannumberfield.WhentheGaloisgroupGal(K/Q)iscyclic,wehavestudiedthiscycliceaseinanotherpaper:'Gausssumsofindexfour:(1)cycliccase'(acceptedbyActaMathematicaSinica,2003).Inthispaperwedealwiththenon-cycliccase.

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

简介：ＯＰＴＩＭＡＬＭＯＤＥＬＳＦＯＲＴＨＥＦＩＲＳＴＡＲＲＩＶＡＬＴＩＭＥＤＩＳＴＲＩＢＵＴＩＯＮＦＵＮＣＴＩＯＮＩＮＣＯＮＴＩＮＵＯＵＳＴＩＭＥ－ＷＩＴＨＡＳＰＥＣＩＡＬＣＡＳＥＬＩＮＹＵＡＮＬＩＥ（林元烈）（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａ...

简介：ＡＮＨＡＲＭＯＮＩＣＡＮＡＬＹＳＩＳＦＯＲＯＰＥＲＡＴＯＲＳＩＮＴＨＥＣＡＳＥＯＦＡＬＯＣＡＬＬＹＣＯＭＰＡＣＴＡＢＥＬＩＡＮＧＲＯＵＰ：Ｆ．ＡＮＤＭ．ＲＩＥＳＺ　ＴＨＥＯＲＥＭＳＹｕＳｈｕｍｏ（于树模）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＦｕｄａｎＵｎｉｖ...

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