Two Inverse Eigenproblems for Certain Symmetric and Nonsymmetric Pentadiagonal Matrices

S. Arela-Pérez, Charlie Lozano, Hans Nina () and H. Pickmann-Soto
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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

Mathematics, 2022, vol. 10, issue 17, 1-12

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.

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: 2022
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