Article ID Journal Published Year Pages File Type
4608034 Journal of Approximation Theory 2009 13 Pages PDF
Abstract

We consider perturbations of a large Jordan matrix, either random and small in norm or of small rank. In the case of random perturbations we obtain explicit estimates which show that as the size of the matrix increases, most of the eigenvalues of the perturbed matrix converge to a certain circle with centre at the origin. In the case of finite rank perturbations we completely determine the spectral asymptotics as the size of the matrix increases.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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