Geodesic
On the trace characterization of the joint spectral radius
The electronic journal of linear algebra, Tome 20 (2010), pp. 367-375.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A characterization of the joint spectral radius, due to Chen and Zhou, relies on the limit superior of the k-th root of the dominant trace over products of matrices of length k. In this note, a sufficient condition is given such that the limit superior takes the form of a limit. This result is useful while estimating the joint spectral radius. Although it applies to a restricted class of matrices, it appears to be relevant to many realistic situations.
Classification : 15A18, 15A69, 65F15
Keywords: joint spectral radius, spectral radius, trace, primitivity, nonnegative matrix 
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     author = {Xu, Jianhong},
     title = {On the trace characterization of the joint spectral radius},
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Xu, Jianhong. On the trace characterization of the joint spectral radius. The electronic journal of linear algebra, Tome 20 (2010), pp. 367-375. http://geodesic.mathdoc.fr/item/ELA_2010__20__a26/