简介:§1.IntroductionAssociatedwiththeeigenvalueproblem
简介:Inthepresentpaper,wehaveconsideredtheapproximationofanalyticfunctionsrepresentedbyLaplace-Stieltjestransformationsusingsequenceofdefiniteintegrals.WehavecharacterizedtheirorderandtypeintermsoftherateofdecreaseofEn(F,b)whereEn(F,b)istheerrorinapproximatingofthefunctionF(s)bydefiniteintegralpolynomialsinthehalfplaneRes≤b〈a.
简介:InthispaperwepresentatransformationpathalgorithmforUnconstrainedSignomialGeometricProgramming(USGP).ThealgorithmisproposedfromanewpointofviewbasedonexploringthecharacteristicsofUSGPproblem.Firstlybysomestabletransformations,aparticularsubproblemisderivedwhichisveryeasytosolve.Secondly,aspecialpathisformedconveniently.Andthenthestepofthealgorithmconsistsinfindinga"good"pointtothecurrentiteratebychoosingitalongthespecialpathandwithinatrustregion.Itisprovedthatthealgorithmisgloballyconvergent.
简介:Inthispaper,theauthorsobtaintheBaecklundtransformationontime-likesurfaceswithconstantmeancurvatureinR^2,1.Usingthistransformation,familiesofsurfaceswithconstantmeancurvaturefromknownonescanbeconstructed.
简介:ThegeneralizedBallcurvesofWang-SaidtypewithapositionparameterLnotonlyunifytheWang-BallcurvesandtheSaid-Ballcurves,butalsoincludeseveralusefulintermediatecurves.ThispaperpresentsthedualfunctionalsforthegeneralizedBallbasisofWang-Saidtype.Therelevantbasistransformationformulaearealsoworkedout.
简介:Semiparametrictransformationmodelsprovideaclassofflexiblemodelsforregressionanalysisoffailuretimedata.Severalauthorshavediscussedthemunderdifferentsituationswhencovariatesaretimeindependent(Chenetal.,2002;Chengetal.,1995;Fineetal.,1998).Inthispaper,weconsiderfittingthesemodelstoright-censoreddatawhencovariatesaretime-dependentlongitudinalvariablesand,furthermore,maysuffermeasurementerrors.Forestimation,weinvestigatethemaximumlikelihoodapproach,andanEMalgorithmisdeveloped.Simulationresultsshowthattheproposedmethodisappropriateforpracticalapplication,andanillustrativeexampleisprovided.