Continuity of the generalized spectral radius in max algebra
type: Item
instance of: scholarly article
title: Continuity of the generalized spectral radius in max algebra
zbMATH Open document ID: 1168.15005
author: Yung-Yih Lur
author: Wen-Wei Yang
published in: Linear Algebra and its Applications
publication date: 2009-04-29T00:00:00Z
review text: The authors prove that the max algebra version of the generalized spectral radius is continuous on the Hausdorff metric space. The notion of the max algebra version of simultaneous nilpotence of matrices is also proposed. Necessary and sufficient conditions for the max algebra version of simultaneous nilpotence of matrices are presented as well.
reviewed by: Rodica Covaci
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 5549283
zbMATH Keywords: max algebra
zbMATH Keywords: generalized spectral radius
zbMATH Keywords: joint spectral radius
zbMATH Keywords: simultaneous nilpotence
zbMATH Keywords: Hausdorff metric space
MaRDI profile type: Publication
full work available at URL: j.laa.2008.12.007
OpenAlex ID: W1980566793
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DOI: 10.1016/J.LAA.2008.12.007
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description: scientific article; zbMATH DE number 5549283