Realization of Extremal Spectral Data by Pentadiagonal Matrices

Hubert Pickmann-Soto; Susana Arela-Pérez; Charlie Lozano; Hans Nina

doi:10.3390/math12142198

Realization of Extremal Spectral Data by Pentadiagonal Matrices

Hubert Pickmann-Soto
, Susana Arela-Pérez
, Charlie Lozano
, Hans Nina

Departamento de Matemática

Universidad de Tarapacá
Universidad Mayor de San Andrés, Bolivia
Universidad de Antofagasta

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

2 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Número de artículo	2198
Publicación	Mathematics
Volumen	12
N.º	14
DOI	https://doi.org/10.3390/math12142198
Estado	Publicada - jul 2024

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title = "Realization of Extremal Spectral Data by Pentadiagonal Matrices",

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.",

keywords = "inverse eigenvalue problem, leading principal submatrices, nonsymmetric pentadiagonal matrices, symmetric pentadiagonal matrices",

author = "Hubert Pickmann-Soto and Susana Arela-P{\'e}rez and Charlie Lozano and Hans Nina",

note = "Publisher Copyright: {\textcopyright} 2024 by the authors.",

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doi = "10.3390/math12142198",

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volume = "12",

journal = "Mathematics",

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AU - Pickmann-Soto, Hubert

AU - Arela-Pérez, Susana

AU - Lozano, Charlie

AU - Nina, Hans

PY - 2024/7

Y1 - 2024/7

N2 - 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.

AB - 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.

KW - inverse eigenvalue problem

KW - leading principal submatrices

KW - nonsymmetric pentadiagonal matrices

KW - symmetric pentadiagonal matrices

UR - https://www.scopus.com/pages/publications/85199910701

U2 - 10.3390/math12142198

DO - 10.3390/math12142198

M3 - Article

AN - SCOPUS:85199910701

SN - 2227-7390

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JO - Mathematics

JF - Mathematics

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ER -

Realization of Extremal Spectral Data by Pentadiagonal Matrices

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