Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/8156
Title: The Spectrum of a New Class of Sylvester-Kac Matrices
Authors: Alazemi, Abdullah
da Fonseca, Carlos M.
Kılıç, Emrah
Keywords: tridiagonal matrices
determinant
eigenvalues
Sylvester-Kac matrix
Eigenvectors
Determinant
Issue Date: 2021
Publisher: Univ Nis, Fac Sci Math
Abstract: We define a new class of Sylvester-Kac matrices and calculate their spectra explicitly. We use the technique of the left eigenvectors to obtain the claim. We also provide some right eigenvectors which can be useful in applied computations. The main results are rather general and contain many known particular characterizations. Matrices belonging to this family represent a convenient test matrices for numerical eigenvalue computations with known spectrum.
URI: https://doi.org/10.2298/FIL2112017A
https://hdl.handle.net/20.500.11851/8156
ISSN: 0354-5180
Appears in Collections:Matematik Bölümü / Department of Mathematics
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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