On spectral radii of Coxeter transformations.
type: Item
instance of: scholarly article
title: On spectral radii of Coxeter transformations.
zbMATH Open document ID: 1070.16016
DOI: 10.1016/S0024-3795(01)00433-5
author: Vlastimil Dlab
author: Piroska Lakatos
published in: Linear Algebra and its Applications
publication date: 2003-05-25T00:00:00Z
review text: The authors give an upper bound of the spectral radius of a Coxeter transformation defined by a tree in terms of the maximal degree of vertices of the tree. This result extends an existing quadratic bound. In a not yet published paper, Y. J. Guo, a student of the reviewer, improves further the result in the paper under review.
Mathematics Subject Classification ID: 16G20
Mathematics Subject Classification ID: 05C05
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 20F55
zbMATH DE Number: 1915485
zbMATH Keywords: Coxeter transformations
zbMATH Keywords: spectral radii
zbMATH Keywords: valued trees
zbMATH Keywords: Coxeter polynomials
zbMATH Keywords: generalized Cartan matrices
Wikidata QID: Q105656541
reviewed by: Changchang Xi
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1915485