Sylvester-Kac matrices with quadratic spectra: a comprehensive note
type: Item
instance of: scholarly article
title: Sylvester-Kac matrices with quadratic spectra: a comprehensive note
author: Zhibin Du
author: C. M.da Fonseca
published in: The Ramanujan Journal
publication date: 2024-11-01T00:00:00Z
review text: Sylvester-Kac matrices are tridiagonal integral matrices whose eigenvalues are integers or express some kind of regularity. Such matrices with spectra having some type of quadratic form have widely been studied in the literature. The authors review these results. Using a lower triangular matrix based on Pascal's triangle, they also present a unified approach to them. Finally, they give a comprehensive bibliography on the history and recent development of this topic.
reviewed by: Jorma K. Merikoski
Mathematics Subject Classification ID: 15B36
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15B05
zbMATH DE Number: 7937726
zbMATH Keywords: Sylvester-Kac matrix
zbMATH Keywords: tridiagonal matrix
zbMATH Keywords: eigenvalue
MaRDI profile type: Publication
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DOI: 10.1007/S11139-024-00940-4
description: scientific article; zbMATH DE number 7937726