Geodesic
The spectrum of a new class of Sylvester-Kac matrices
Filomat, Tome 35 (2021) no. 12, p. 4017

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DOI

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
DOI : 10.2298/FIL2112017A
Classification : 11C20, 15B35, 05A18, 15A15
Keywords: Sylvester-Kac matrix, tridiagonal matrices, determinant, eigenvalues 
Abdullah Alazemi; Carlos M Da Fonseca; Emrah Kılıç. The spectrum of a new class of Sylvester-Kac matrices. Filomat, Tome 35 (2021) no. 12, p. 4017 . doi: 10.2298/FIL2112017A
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     title = {The spectrum of a new class of {Sylvester-Kac} matrices},
     journal = {Filomat},
     pages = {4017 },
     year = {2021},
     volume = {35},
     number = {12},
     doi = {10.2298/FIL2112017A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2112017A/}
}
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