29985.兩類(lèi)預(yù)條件迭代法的收斂性分析

1、兩類(lèi)預(yù)條件迭代法的收斂性分析學(xué)位論文完成日期：蘭!!啤6固!蘭目指導(dǎo)教師簽字：答辯委員會(huì)成員簽字：疊益壟乏乏之ANAIYSISOFT日ECoNVERGENCE0FTHEOnthisdayinthetwentyfirstCenturymanypracticalproblemscannotsolvewithoutthelinearequations，theiterativemethodisthecommonmethodtosolvetheq

2、uestionsButnsmgofiterativemethodtosolvelinearequations，theconvergencespeedsometimeswouldbeslowore3rfnnotconvergentwhichoonsBmemoretimeInordertosolvetheaboveproblems，itisneedtoimprovetherateofconvergenceoftheiterativemeth

3、odsThis‘a(chǎn)rticlehasresearchedthepreconditionedGAORiterationmethodandthepreconditionedGMTSiterationmethodInthefirstchapterandthesecondchaptertherelevantbackgroundandtherelatedbasicknowledgearcintroducedInthethirdchapterand

4、thefourthchapterfirstly，introducesthegeneralizedacceleratedoverrelaxationiterativemethod(GAORiterativemethod)，thenseveralkindsofnewprocessingfactorsandtherelevantcontentofthepreconditionedGAORiterationmethoda托g(shù)ivcn’discu

5、ssestheconvergenceofthepreconditionedGAORiterationmethodFinallytheexampleisgiventoprovetheconclusionsInthefifthchapterthegeneralizedmixedsplittingiterativemethod(GMTSiterativemethod)andthepreconditionedGMTSiterativemetho

6、dareinuoducedthenstudiesthecomparisonoftheconvergencebetweenthepreconditionedGMTSiterativemethodandGMTSiterativemethodthetheoremsshowsitisbettertousethepreconditionedGMTSiterativemethodFinallytheexampleisgiventoprovethec