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Title: The Spectrum of a New Class of Sylvester-Kac Matrices
Authors: Alazemi, Abdullah
da Fonseca, Carlos M.
Kılıç, Emrah
Keywords: tridiagonal matrices
Sylvester-Kac matrix
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.
ISSN: 0354-5180
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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