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Two Inverse Eigenproblems for Certain Symmetric and Nonsymmetric Pentadiagonal Matrices

Author

Listed:
  • S. Arela-Pérez

    (Departamento de Matemática, 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)

  • H. Pickmann-Soto

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

Abstract

In this paper, we give sufficient conditions for the construction of certain symmetric and nonsymmetric pentadiagonal matrices from particular spectral information. The construction of the symmetric pentadiagonal matrix considers the extreme eigenvalues of its leading principal submatrices and a prescribed entry, and the construction of the nonsymmetric pentadiagonal matrix also considers an eigenvector and two prescribed entries.

Suggested Citation

  • S. Arela-Pérez & Charlie Lozano & Hans Nina & H. Pickmann-Soto, 2022. "Two Inverse Eigenproblems for Certain Symmetric and Nonsymmetric Pentadiagonal Matrices," Mathematics, MDPI, vol. 10(17), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:17:p:3054-:d:896566
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    References listed on IDEAS

    as
    1. H. Pickmann-Soto & S. Arela-Pérez & Juan C. Egaña & Ricardo L. Soto, 2019. "Extreme Spectra Realization by Nonsymmetric Tridiagonal and Nonsymmetric Arrow Matrices," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-7, March.
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