简介：Gauss原理是分析力学中的一个微分变分原理,它在理论上简单,应用上有优势,而且适用于双面理想完整系统和非完整系统.本文对这个原理的形成和发展给出一些史料,并提出一些看法.

简介：TheauthorobtainsaWeierstrassrepresentationforsurfaceswithprescribednormalGaussmapandGausscurvatureinH3.AdifferentialequationaboutthehyperbolicGaussmapisalsoobtained,whichcharacterizestherelationamongthehyperbolicGaussmap,thenormalGaussmapandGausscurvature.TheauthordiscussestheharmonicityofthenormalGaussmapandthehyperbolicGaussmapfromsurfacewithconstantGausscurvatureinH3toS2withcertainalteredconformalmetric.Finally,theauthorconsidersthesurfacewhosenormalGaussmapisconformalandderivesacompletelynonlineardifferentialequationofsecondorderwhichgraphmustsatisfy.

简介：本文讨论了W-曲面Causs映射的性质,给出了W-曲面一个新的特征,作为结果的应用,我们给出了Cartan定理又一个比较简单的证明。

简介：本文考虑利用Ｇａｕｓｓ求积公式Ｑｎ（ｆ），ｎ∈Ｎ来逼近定积分Ｉ（ｆ）＝ｗ（ｘ）ｆ（ｘ）ｄｘ。其中权函数ｗ（ｘ）＝Ｗ（ｘ）／ｐ（ｘ），ｐ（ｘ）＝（２ｂ＋１）ｘ２＋ｂ２，ｂ＞０和Ｗ（ｘ）＝（１－ｘ）α·（１＋ｘ）β＝，α，ｎ＞１。误差函数Ｒｎ（ｆ）＝Ｉ（ｆ）－Ｑｎ（ｆ），在某些解析函数空间是连续的。对于满足限制条件的权函数，我们得到了计算误差函数Ｒｎ（ｆ）的明显表达式。若α＝β＝和ｎ＞１时，若和α＝β＝和ｎ＞１时，若和α＝－β＝和ｎ＞２时，

简介：ThispaperstudiestheGaussmapofsubmanifoldsinspaceformsdefinedbyWillmoreandSaleemi.ByusingMorsefunctions,itisprovedthatthedegreeofGaussmapistheEulernumberofthesubmanifold,Thetightimmersionsarealsostudied.

简介：LetthelinearsystemAx=bwherethecoefficientmatrixA=(aij)∈Rm,nisanL-ma-trix(thatis,aij>0（?）iandaij≤0（?）i≠j),A=I-L-U,Iistheidentitymatrix,-Land-Uare,respectively,strictlylowerandstrictlyuppertriangularpartsofA.In[1]theauthorsconsideredtwopreconditionedlinearsystems?x=（?）and?x=（?）

简介：<正>InthispaperwestudysurfacesinS~4andtheirtwistorGaussmaps.SomenecessaryandsufficientconditionsthatthetwistorGaussmapisharmonicaregiven.Wefindmanyexamplesofnonisotropicharmonicmapsfromasurfaceto(?)P~3.

简介：Inthispaper,ageneralalgorithmforthecomputationoftheFouriercoefficientsof2π-periodic(continuous)functionsisdevelopedbasedonDirichletcharacters,GausssumsandthegeneralizedM¨obiustransform.ItpermitsthedirectextractionoftheFouriercosineandsinecoefficients.Threespecialcasesofouralgorithmarepresented.AVLSIarchitectureispresentedandtheerrorestimatesaregiven.

简介：AnasynchronousparallelmultisplittingnonlinearGauss-SeideliterativemethodisestablishedfortheparticularlystructuredsystemofnonlinearequationsAφ(x)+Bφ(x)=bwithA,B∈(R^n)φ,φtR^n→R^nbeingdiagonalmappingsandb∈R^n,andtheglobalconvergenceofitisproved.

简介：根据基模高斯光场，运用MonteCarlo随机模拟方法，实现了基模高斯光场的模拟，直观地说明了基模高斯光束的横模．

简介：在计算线性方程组时,我们有时会遇到其系数矩阵A是严格次对角占优及次正定的次对称的情形,对于这样的方程组,我们不能直接应用Jacobi、Gauss—Seidel及超松驰迭代法进行求解.在文[2]中,利用了JA是严格对角占优(占A是严格次对角占优)及JA是正定对称(当A是次正定的次对称)的性质,对方程AX=b作用J得方程JAX=Jb,对此方程我们再使用以上的方法进行求解,然而JA是对A作一条列的行变换得到的,当n是偶数时,至少要作n/2次行对换,在计算机上将A经行变换变成JA至少要进行3/2n~2次赋值,当n是奇数时,至少要进行3/2n(n-1)次赋值.并且在这个过程中还要增加n个单元的内

简介：在这份报纸，我们考虑随机的线性补充问题(SLCP)的一个班与有限地许多元素。可行semismooth抑制了高斯牛顿算法因为SLCP被建议。建议算法的全球、局部地二次的集中在合适的条件下面被获得。一些数字结果在这份报纸被报导，它证实建议算法的好理论性质。

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：ThepreconditionedGauss-Seideltypeiterativemethodforsolvinglinearsystems,withtheproperchoiceofthepreconditioner,ispresented.ConvergenceofthepreconditionedmethodappliedtoZ-matricesisdiscussed.Alsotheoptimalparameterispresented.NumericalresultsshowthattheproperchoiceofthepreconditionercanleadtoeffectivebythepreconditionedGauss-Seideltypeiterativemethodsforsolvinglinearsystems.

简介：Inthispaper,weproposeaparallelGauss-Seideltypeiterativemethodforsolvingthelarge-scalesystemofnonlinearalgebraicequationsAφ(x)+Bψ(x)=b,whichisanasynchronousvariantofthesynchronousparallelnonlinearGauus-SeideltypemethodgivenbyR.E.White.Withalmostthesamebutsomewhatmorerelaxedconstrainteonthemultiplesplittings,weprovetheconvergenceandestimatetheconvergencerateofthenewmethod.

简介：TheJacobiandGauss-Seidelalgorithmsareamongthestationaryiterativemethodsforsolvinglinearsystemofequations.Theyarenowmostlyusedasprecondition-ersforthepopulariterativesolvers.Inthispaperageneralizationofthesemethodsareproposedandtheirconvergencepropertiesarestudied.Somenumericalexperimentsaregiventoshowtheefficiencyofthenewmethods.

简介：AgeneralizedGauss-typequadratureformulaisintroduced,whichassistsinselectionofcollocationpointsinpseudospectralmethodfordifferentialequationswithtwo-pointderiva-tiveboundaryconditions.SomeresultsontherelatedJacobiinterpolationareestablished.Apseu-dospectralschemeisproposedfortheKuramoto-Sivashiskyequation.Askewsymmetricdecompo-sitionisusedfordealingwiththenonlinearconvectionterm.Thestabilityandconvergenceoftheproposedschemeareproved.Theerrorestimatesareobtained.Numericalresultsshowtheeffi-ciencyofthisapproach.

简介：ＦｒｏｍＴｏｐｏｌｏｇｉｃａｌＳｔｒｕｃｔｕｒｅｉｎＧａｕｓｓ－Ｂｏｎｎｅｔ－ＣｈｅｒｎＴｈｅｏｒｅｍｔｏＭｏｒｓｅＴｈｅｏｒｙ￥ＬｉＸｉｇｕｏａｎｄＤｕａｎＹｉｓｈｉ（ＩｎｔｉｔｕｔｅｏｆＴｈｅｏｒｅｔｉｃａｌＰｈｙｓｉｃｓ，Ｌａｎ...

简介：Inordertoimprovetheperformanceofsupportvectormachine(SVM)applicationsinthefieldofcreditriskevaluation,anadaptiveLqSVMmodelwithGausskernel(ALqG-SVM)isproposedtoevaluatecreditrisks.Thenon-adaptivepenaltyoftheobjectfunctionisextendedto(0,2]toincreaseclassificationaccuracy.Tofurtherimprovethegeneralizationperformanceoftheproposedmodel,theGausskernelisintroduced,thusthenon-linearclassificationproblemcanbelinearlyseparatedinhigherdimensio...

简介：在一种紧急情况状况期间改进survivability，为飞机的一个算法强迫了登陆轨道计划被建议。方法集成计划进一个最佳的控制框架的损坏飞机建模和轨道。以便处理复杂飞机飞行动力学，解决的策略基于高斯pseudospetral方法(GPM)被介绍。A3-DOF考虑风的非线性的集体点的模型被开发接近在损失以后的飞机飞行动力学推进。答案最小化强迫的登陆持续时间，关于翻译改变的动力学，飞行信封限制和运作的安全要求的限制。GPM被用来变换计划问题到一个非线性的编程问题(NLP)的轨道，它被顺序的二次的编程算法解决。模拟结果证明建议算法能在事件产生最小时间的强迫的登陆轨道发动机外面与高效率和精确。