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:Inordertoimprovetheperformanceofsupportvectormachine(SVM)applicationsinthefieldofcreditriskevaluation,anadaptiveLqSVMmodelwithGausskernel(ALqG-SVM)isproposedtoevaluatecreditrisks.Thenon-adaptivepenaltyoftheobjectfunctionisextendedto(0,2]toincreaseclassificationaccuracy.Tofurtherimprovethegeneralizationperformanceoftheproposedmodel,theGausskernelisintroduced,thusthenon-linearclassificationproblemcanbelinearlyseparatedinhigherdimensio...
简介:他说:“如果最后的着陆地点只能是地狱,一切都是徒劳无用,而且,当前的潮流,正是以越来越窄小的旋绕,推动我们走向那里。”马可·波罗说:“生灵的地狱,不是一个即将来临的地方;如果真有一个地狱,它已经在这儿存在了,那是我们每天生活其间的地狱,是我们聚在一起而形成的地狱。有两种方法可以逃离,不再受苦痛折磨。对大多数人而言,第一种方法比较容易:接受地狱,成为它的一部分,直到你再也看不到它。第二种方法