Existence and construction of nonnegative matrices with prescribed spectrum

By Ricardo L. Soto. 2003

51 citations recorded by the source corpus.

Abstract We consider the following inverse spectrum problem for nonnegative matrices: given a set of real numbers σ={λ1,λ2,…,λn}, find necessary and sufficient conditions for the existence of an n×n nonnegative matrix A with spectrum σ. In particular, by the use of a relevant theorem of Brauer we obtain new simple sufficient conditions for the problem to have a solution. Moreover, we can always construct a solution matrix, which is nonnegative generalized stochastic.

Subfields: Computational Theory and Mathematics, Electrical and Electronic Engineering, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/823ba5b6c18cdf8c5f1675a82442cafde8edc7cd

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Citations in the corpus

• The nonnegative inverse eigenvalue problem from the coefficients of the characteristic polynomial. EBL digraphs (2007, background): “Rojo and Soto [16] and Borobia, Moro and Soto [3,19] have made the most recent contributions to the NIEP.”