TY - JOUR
T1 - Two Inverse Eigenproblems for Certain Symmetric and Nonsymmetric Pentadiagonal Matrices
AU - Arela-Pérez, S.
AU - Lozano, Charlie
AU - Nina, Hans
AU - Pickmann-Soto, H.
N1 - Publisher Copyright:
© 2022 by the authors.
PY - 2022/9
Y1 - 2022/9
N2 - In this paper, we give sufficient conditions for the construction of certain symmetric and nonsymmetric pentadiagonal matrices from particular spectral information. The construction of the symmetric pentadiagonal matrix considers the extreme eigenvalues of its leading principal submatrices and a prescribed entry, and the construction of the nonsymmetric pentadiagonal matrix also considers an eigenvector and two prescribed entries.
AB - In this paper, we give sufficient conditions for the construction of certain symmetric and nonsymmetric pentadiagonal matrices from particular spectral information. The construction of the symmetric pentadiagonal matrix considers the extreme eigenvalues of its leading principal submatrices and a prescribed entry, and the construction of the nonsymmetric pentadiagonal matrix also considers an eigenvector and two prescribed entries.
KW - inverse eigenvalue problem
KW - leading principal submatrices
KW - nonsymmetric pentadiagonal matrices
KW - symmetric pentadiagonal matrices
UR - https://www.scopus.com/pages/publications/85137752482
U2 - 10.3390/math10173054
DO - 10.3390/math10173054
M3 - Article
AN - SCOPUS:85137752482
SN - 2227-7390
VL - 10
JO - Mathematics
JF - Mathematics
IS - 17
M1 - 3054
ER -