Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/3980
Title: The interesting spectral interlacing property for a certain tridiagonal matrix
Authors: da Fonseca, Carlos M.
Kılıç, Emrah
Pereira, Antonio
Keywords: Sylvester-Kac matrix
tridiagonal matrices
determinant
Eigenvalues
Issue Date: Aug-2020
Publisher: International Linear Algebra Society
Source: da Fonseca, C., Kılıç, E. & Pereira, A. (2020). The interesting spectral interlacing property for a certain tridiagonal matrix. The Electronic Journal of Linear Algebra, 36(36), 587-598.
Abstract: In this paper, a new tridiagonal matrix, whose eigenvalues are the same as the Sylvester-Kac matrix of the same order, is provided. The interest of this matrix relies also in that the spectrum of a principal submatrix is also of a Sylvester-Kac matrix given rise to an interesting spectral interlacing property. It is proved alternatively that the initial matrix is similar to the Sylvester-Kac matrix.
URI: https://doi.org/10.13001/ela.2020.4945
https://hdl.handle.net/20.500.11851/3980
ISSN: 1537-9582
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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