The Sylvester-Kac matrix space
type: Item
instance of: scholarly article
title: The Sylvester-Kac matrix space
zbMATH Open document ID: 1167.15014
author: Roberto Bevilacqua
author: Enrico Bozzo
published in: Linear Algebra and its Applications
publication date: 2009-06-04T00:00:00Z
review text: The Sylvester-Kac matrix is a triagonal matrix with integer entries and integer eigenvalues that appears in a variety of applications. It is shown that it belongs to a four dimensional linear space of tridiagonal matrices that can be simultaneously reduced to triangular form.
reviewed by: Andreas Arvanitoyeorgos
Mathematics Subject Classification ID: 15B36
Mathematics Subject Classification ID: 15A30
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 5561718
zbMATH Keywords: Sylvester-Kac matrix
zbMATH Keywords: triagonal matrix
zbMATH Keywords: eigenvalues
zbMATH Keywords: triangular form
MaRDI profile type: Publication
full work available at URL: j.laa.2009.01.029
OpenAlex ID: W1980401535
cites work: An explicit formula for singular values of the Sylvester-Kac matrix
cites work: Q4327541
cites work: Q5200738
cites work: Another look at a matrix of Mark Kac
DOI: 10.1016/J.LAA.2009.01.029
description: scientific article; zbMATH DE number 5561718