Realization of Extremal Spectral Data by Pentadiagonal Matrices

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

Publikováno v: Mathematics, Vol 12, Iss 14, p 2198 (2024)

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 submat

Externí odkaz: https://doaj.org/article/99c4d8aa2b9e45a3820a55de6d5d37d1

On the inverse eigenproblem for symmetric and nonsymmetric arrowhead matrices

Autor: Hubert Rohner Pickmann Soto, Dante Carrasco Olivera, Juan Carlos Egaña Arancibia, Susana Arela Pérez

Publikováno v: Proyecciones (Antofagasta) v.38 n.4 2019
SciELO Chile
CONICYT Chile
instacron:CONICYT
Proyecciones (Antofagasta), Volume: 38, Issue: 4, Pages: 811-828, Published: DEC 2019

We present a new construction of a symmetric arrow matrix from a particular spectral information: let λ(n) 1 be the minimal eigenvalue of the matrix and λj (j) , j = 1, 2, . . . , n the maximal eigenvalues of all leading principal submatrices of th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4ff342591401d453cee747bdc6c3770
https://doi.org/10.22199/issn.0717-6279-2019-04-0053