Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/3918
Title: A new type of Sylvester–Kac matrix and its spectrum
Authors: Kılıç, Emrah
da Fonseca, C. M.
Keywords: Determinant
eigenvalues
Sylvester–Kac matrix
Issue Date: 2021
Publisher: Taylor and Francis Ltd.
Source: da Fonseca, C. M., & Kılıç, E. (2019). A new type of Sylvester–Kac matrix and its spectrum. Linear and Multilinear Algebra, 1-11.
Abstract: The Sylvester–Kac matrix, sometimes known as Clement matrix, has many extensions and applications throughout more than a century of its existence. The computation of the eigenvalues or even the determinant have always been challenging problems. In this paper, we aim the introduction of a new family of a Sylvester–Kac type matrix and evaluate the corresponding spectrum. As a consequence, we establish a formula for the determinant. © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.
URI: https://www.tandfonline.com/doi/full/10.1080/03081087.2019.1620673
https://hdl.handle.net/20.500.11851/3918
ISSN: 03081087
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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