Inverse eigenproblems for real symmetric doubly arrowhead matrices

• Pickmann Soto, Hubert Rohner ^[1] ; Arela Pérez, Susana ^[1] ; Egaña Arancibia, Juan Carlos ^[2] ; Carrasco Olivera, Dante ^[3]
  1. [1] Universidad de Tarapacá

     Universidad de Tarapacá

     Arica, Chile

     
  2. [2] Universidad Católica del Norte

     Universidad Católica del Norte

     Antofagasta, Chile

     
  3. [3] Universidad del Bío-Bío

     Universidad del Bío-Bío

     Comuna de Concepción, Chile

     

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• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 5, 2020, págs. 1315-1331
• Idioma: inglés
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• Resumen

  • We consider two inverse eigenproblems for a real symmetric doubly arrowhead matrix An(q) , which consist of constructing An(q) from two special kinds of spectra information. These problems were introduced in [11], where the principal results are sufficient conditions for both problems to have a real solution. In this paper, we improve such conditions, in the sense that one of the given conditions implies the rest. The results are constructive and generate one numerical procedure to construct the solution matrix An(q).