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 |
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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Theinteresting.pdf | Text | 299.08 kB | Adobe PDF | View/Open |
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