Assumethataconvergentmatrixsequence{An}:An→A（n→∞）,An,A∈C3×3.Wewanttoformanewmatrixsequence{Hn},derivedfrom{An},whichhasalsoAaslimitandwhoseconvergenceisfasterthantheof{An}.Threerationalextrapolationmeth-odsforacceleratingtheconvergenceofmatrixsequences{An}arepresentedinthispaper.Theunderlyingmethodsarebasedonthegeneralizedinverseformatriceswhichisuseful
