Pickmann-Soto, HubertArela-Pérez, SusanaLozano, CharlieNina, Hans2026-04-082026-04-0820242227-739010.3390/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 Internationalinverse eigenvalue problemsymmetric pentadiagonal matricesnonsymmetric pentadiagonal matricesleading principal submatricesArticle