Browsing by Autor "H. Pickmann-Soto"

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    Realization of Extremal Spectral Data by Pentadiagonal Matrices
    (Multidisciplinary Digital Publishing Institute, 2024) H. Pickmann-Soto; Silvia Finol Pérez; Charlie Lozano; Hans Nina
    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.
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    The new inverse eigenvalue problems for periodic and generalized periodic Jacobi matrices from their extremal spectral data
    (Elsevier BV, 2022) Silvia Finol Pérez; Charlie Lozano; Hans Nina; H. Pickmann-Soto; Jonnathan Rodríguez
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    Two Inverse Eigenproblems for Certain Symmetric and Nonsymmetric Pentadiagonal Matrices
    (Multidisciplinary Digital Publishing Institute, 2022) Silvia Finol Pérez; Charlie Lozano; Hans Nina; H. Pickmann-Soto
    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.