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Revista Integración
versión impresa ISSN 0120-419X
Integración - UIS vol.35 no.1 Bucaramanga ene./jun. 2017
https://doi.org/10.18273/revint.v35n1-2017003
Original article
A recursive condition for the symmetric nonnegative inverse eigenvalue problema
Una condición recursiva para el problema inverso del autovalor para matrices simétricas no negativas
1Universidad de Tarapacá, Departamento de Matemática, Arica, Chile.
2Universidad del Sinú. Elías Bechara Zainum, Departamento de Matemática, Cartagena, Colombia
In this paper we present a sufficient condition and a necessary condition for Symmetric Nonnegative Inverse Eigenvalue Problem. This condition is independent of the existing realizability criteria. This Criterion is recursive, that is, it determines whether a list A = {Al, ... , An, An+d is realizable by a nonnegative symmetric matrix, if the list M = {MI, ... , Mn} associated to A is realizable. This result is easy to program and improves sorne existing criteria.
Keywords: Inverse problems; eigenvalues; orthogonal matrices; symmetric matrix
En este artículo presentamos una condición suficiente y una condición necesaria para el Problema Inverso de Autovalores para Matrices Simétricas no Negativas. Esta condición es independiente de los criterios de realizabilidad existentes. Este criterio es recursivo, es decir determina si una lista A = {Al, ... , An, An+d es realizable por una matriz simétrica no negativa, si la lista M = {MI, ... , Mn} asociada a A es realizable. Este resultado es fácil de programar y mejora algunos criterios existentes.
Palabras clave: Problemas inversos; autovalores; matrices ortogonales; matrices simétricas
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Received: March 2017; Accepted: May 2017
This is an open-access article distributed under the terms of the Creative Commons Attribution License
