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

Department of Mathematics

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

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Article number	2198
Journal	Mathematics
Volume	12
Issue number	14
DOIs	https://doi.org/10.3390/math12142198
State	Published - Jul 2024

Keywords

inverse eigenvalue problem
leading principal submatrices
nonsymmetric pentadiagonal matrices
symmetric pentadiagonal matrices

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10.3390/math12142198

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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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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

VL - 12

JO - Mathematics

JF - Mathematics

IS - 14

M1 - 2198

ER -

Realization of Extremal Spectral Data by Pentadiagonal Matrices

Abstract

Keywords

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