Hubert Pickmann-SotoSusana Arela-PérezCharlie LozanoHans Nina2026-04-082026-04-0820242227739010.3390/math12142198https://repositorioabierto.uantof.cl/handle/uantof/688In this paper, we address the extremal inverse eigenvalue problem for pentadiagonal matri-ces. 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.enAttribution 4.0 InternationalArticle