Nonnegative matrices with prescribed elementary divisors

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Ricardo L. Soto
Javier Ccapa


The inverse elementary divisor problem for nonnegative matrices asks for necessary and sufficient conditions for the existence of a nonnegative matrix with prescribed elementary divisors. In this work a Brauer type perturbation result is introduced. This result allows the construction, from a given a list of real or complex numbers Λ  ={λ1,...,λn}, of certain structured nonnegative matrices with spectrum Λ and with any legitimately prescribed elementary divisors.

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