Una condición recursiva para el problema inverso del autovalor para matrices simétricas no negativas

• Autores: Elvis Ronald Valero, Exequiel Mallea Zepeda, Eber Lenes
• Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 35, Nº. 1, 2017 (Ejemplar dedicado a: Revista Integración), págs. 37-50
• Idioma: español
• DOI: 10.18273/revint.v35n1-2017003
• Títulos paralelos:
  • A recursive condition for the symmetric nonnegative inverse eigenvalue problem
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• Resumen
  • español

    En este artículo presentamos una condición sufiente 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 Λ= {λ1, …, λn, λn+1} es realizable por una matriz simétrica no negativa, si la lista μ = {μ1, ..., μn} asociada a Λ es realizable. Este resultado es fácil de programar y mejora algunos criterios existentes.

       

  • English

    Abstract. In this paper we present a sufficient ondition and a necessary condition for Symmetri Nonnegative Inverse Eigenvalue Problem. This condition is independent of the existing realizability criteria. This criterion is recursive, that is, it determines whether a list Λ= {λ1, …, λn, λn+1} is realizable by a nonnegative symmetric matrix, if the list μ = {μ1, ..., μn} associated to Λ is realizable. This result is easy to program and improves some existing criteria.

    Keywords: Inverse problems, eigenvalues, orthogonal matrices, symmetric matrix.

    MSC2010: 15A29, 15A18, 15B10, 15A57.

     

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