简介:Inthispaper,analgorithmbasedonashiftedinversepoweriterationforcomputinggeneralizedeigenvalueswithcorrespondingeigenvectorsofalargescalesparsesymmetricpositivedefinitematrixpencilispresented.Itconvergesgloballywithacubicasymptoticconvergencerate,preservessparsityoftheoriginalmatricesandisfullyparallelizable.Thealgebraicmultilevelitera-tionmethod(AMLI)isusedtoimprovetheefficiencywhensymmetricpositivedefinitelinearequa-tionsneedtobesolved.