TY - JOUR
T1 - Realization of Extremal Spectral Data by Pentadiagonal Matrices
AU - Pickmann-Soto, Hubert
AU - Arela-Pérez, Susana
AU - Lozano, Charlie
AU - Nina, Hans
N1 - Publisher Copyright:
© 2024 by the authors.
PY - 2024/7
Y1 - 2024/7
N2 - 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 submatrices. Finally, we present some examples generated from the algorithmic procedures derived from our results.
AB - 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 submatrices. Finally, we present some examples generated from the algorithmic procedures derived from our results.
KW - inverse eigenvalue problem
KW - leading principal submatrices
KW - nonsymmetric pentadiagonal matrices
KW - symmetric pentadiagonal matrices
UR - https://www.scopus.com/pages/publications/85199910701
U2 - 10.3390/math12142198
DO - 10.3390/math12142198
M3 - Article
AN - SCOPUS:85199910701
SN - 2227-7390
VL - 12
JO - Mathematics
JF - Mathematics
IS - 14
M1 - 2198
ER -