A NEW ALGORITHM FOR COMPUTING LARGEST REAL PART EIGENVALUE OF MATRICES：COLLATZ ＆ PERRON-FROBERNIUS＇ APPROACH-中国Betway体育网页登陆

摘要 Thispaperdescribesanewmethodandalgorithmforthenumericalsolutionofeigenvalueswiththelargestrealpartofpositivematrices.ThemethodisbasedonanumericalimplementationofCollatz’seigenvalueinclusiontheoremfornon-negativeirreduciblematrices.Eigenvaluesareanalyzedforthestudiesofthestabilityoflinearsystems.Finally,anumericaldiscussionisgiventoderivetherequirednumberofmathematicaloperationsofthenewalgorithm.Comparisonsbetweenthenewalgorithmandseveralwellknownones,suchasPower,andQRmethods,arediscussed.

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A NEW ALGORITHM FOR COMPUTING LARGEST REAL PART EIGENVALUE OF MATRICES：COLLATZ ＆ PERRON-FROBERNIUS＇ APPROACH

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