H. Pickmann-SotoSilvia Finol PérezCharlie LozanoHans Nina2026-03-222026-03-22202410.3390/math12142198https://doi.org/10.3390/math12142198https://andeanlibrary.org/handle/123456789/46720Citaciones: 1In 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.enRealizabilityRealization (probability)Eigenvalues and eigenvectorsMathematicsInversePrincipal (computer security)Block matrixAlgebra over a fieldTridiagonal matrixApplied mathematicsarticle