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