The nonnegative inverse eigenvalue problem from the coefficients of the characteristic polynomial. EBL digraphs (original) (raw)

2007

Abstract

The nonnegative inverse eigenvalue problem (NIEP) is: given a family of complex numbers σ={λ1,…,λn}, find necessary and sufficient conditions for the existence of a nonnegative matrix A of order n with spectrum σ. Loewy and London [R. Loewy, D. London, A note on the inverse eigenvalue problems for nonnegative matrices, Linear and Multilinear Algebra 6 (1978) 83–90] resolved it for

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