Realization of Extremal Spectral Data by Pentadiagonal Matrices

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

Mathematics, 2024, vol. 12, issue 14, 1-12

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; symmetric pentadiagonal matrices; nonsymmetric pentadiagonal matrices; leading principal submatrices (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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