简介:Inthispaper,wefirstdiscussthemethodsofcomparingtwospecialabsolutelyconvergentsineseries,sinnxandsinnx.Westatethetheoremin.onedimensionalcaseasfollows;Theorem.Letbeconvergentserieswithnonnegativeterms.SupposeThenforallx∈[0,π]If,inaddition,then
简介:AnewSQPtypefeasiblemethodforinequalityconstrainedoptimizationispresented,itisacombinationofamasteralgorithmandanauxiliaryalgorithmwhichistakenonlyinfiniteiterations.Thedirectionsofthemasteralgorithmaregeneratedbyonlyonequadraticprogramming,anditsstep-sizeisalwaysone,thedirectionsoftheauxiliaryalgorithmarenew'secondorder'feasibledescent.Undersuitableassumptions,thealgorithmisprovedtopossessglobalandstrongconvergence,superlinearandquadraticconvergence.
简介:Inthispaper,theapproximationproblemsofIshikawaiterationwitherrorsoffixedpointsforasymptoticallynonexpansivemappingsandasymptoticallypseudocontractivemappingsinarbitraryrealBanachspacesareinvestigated.Somenecessaryconditionandsufficientconditionfortheconvergenceofiterativesequencesaregivenrespectively.Theresultsthusextendandimprovesomerecentcorrespondingresults.