Article ID Journal Published Year Pages File Type
4599887 Linear Algebra and its Applications 2013 14 Pages PDF
Abstract

In this paper we give new sufficient conditions for the existence and construction of nonnegative matrices with prescribed elementary divisors, which drastically improve and contain some of the previous known conditions. We also show how to perturb complex eigenvalues of a nonnegative matrix while keeping its nonnegativity. These results allow us, under certain conditions, to easily decide if a given list is realizable with prescribed elementary divisors.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
, , , ,