TY - JOUR
T1 - The new inverse eigenvalue problems for periodic and generalized periodic Jacobi matrices from their extremal spectral data
AU - Arela-Pérez, S.
AU - Lozano, Charlie
AU - Nina, Hans
AU - Pickmann-Soto, H.
AU - Rodríguez, Jonnathan
N1 - Publisher Copyright:
© 2022 Elsevier Inc.
PY - 2023/2/15
Y1 - 2023/2/15
N2 - In this paper, we give sufficient conditions for the construction of periodic and generalized periodic Jacobi matrices from particular spectral data. For the construction of a periodic Jacobi matrix, the smallest and largest eigenvalues of all its leading principal submatrices, and a prescribed entry are required. For the case of the generalized periodic Jacobi matrix, an eigenvector associated with the largest eigenvalue is additionally considered. The results obtained provide algorithmic procedures that are illustrated in some numerical experiments.
AB - In this paper, we give sufficient conditions for the construction of periodic and generalized periodic Jacobi matrices from particular spectral data. For the construction of a periodic Jacobi matrix, the smallest and largest eigenvalues of all its leading principal submatrices, and a prescribed entry are required. For the case of the generalized periodic Jacobi matrix, an eigenvector associated with the largest eigenvalue is additionally considered. The results obtained provide algorithmic procedures that are illustrated in some numerical experiments.
KW - Generalized periodic Jacobi matrix
KW - Inverse eigenvalue problem
KW - Leading principal submatrices
KW - Periodic Jacobi matrix
UR - https://www.scopus.com/pages/publications/85143526115
U2 - 10.1016/j.laa.2022.11.014
DO - 10.1016/j.laa.2022.11.014
M3 - Article
AN - SCOPUS:85143526115
SN - 0024-3795
VL - 659
SP - 55
EP - 72
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
ER -