Some suggestion on supplementing gerschgorin's disk theorem in linear algebra
Longquan Yong · Journal of Daqing Normal University · 2009
Diagonalization of matrix was an important problem in linear algebra,some conditions on judging diagonalization have been presented,that is using some properties of eigenvalue or eigenvector to determine whether the matrix can be transformed into diagonal matrix or not.In this paper,a new problem whose diagonalization is cannot be proved by above method is given,by using Gerschgorin's disk theorem,we solved this problem.Finally,we settled a typical problem in matrix theory by using Gerschgorin's disk theorem,too.By above reasons,we illuminate that supplementing Gerschgorin's disk theorem is very necessary in linear algebra.