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Realization of Extremal Spectral Data by Pentadiagonal Matrices

Author

Listed:
  • Hubert Pickmann-Soto

    (Departamento de Matemática, Facultad de Ciencias, Universidad de Tarapacá, Arica 1000000, Chile)

  • Susana Arela-Pérez

    (Departamento de Matemática, Facultad de Ciencias, Universidad de Tarapacá, Arica 1000000, Chile)

  • Charlie Lozano

    (Carrera de Matemática, Facultad de Ciencias Puras y Naturales, Universidad Mayor de San Andrés, La Paz 0201, Bolivia)

  • Hans Nina

    (Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile)

Abstract

In this paper, we address the extremal inverse eigenvalue problem for pentadiagonal matrices. We provide sufficient conditions for their existence and realizability through new constructions that consider spectral data of its leading principal submatrices. Finally, we present some examples generated from the algorithmic procedures derived from our results.

Suggested Citation

  • Hubert Pickmann-Soto & Susana Arela-Pérez & Charlie Lozano & Hans Nina, 2024. "Realization of Extremal Spectral Data by Pentadiagonal Matrices," Mathematics, MDPI, vol. 12(14), pages 1-12, July.
  • Handle: RePEc:gam:jmathe:v:12:y:2024:i:14:p:2198-:d:1434370
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