Computation of Joint Spectral Radius for Network Model Associated with Rank-One Matrix Set

Jun Liu,Mingqing Xiao

doi:10.1007/978-3-642-34487-9_44

Computation of Joint Spectral Radius for Network Model Associated with Rank-One Matrix Set

Jun Liu, Mingqing Xiao

https://doi.org/10.1007/978-3-642-34487-9_44

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Publication Date: Jan 1, 2012

Citations: 3

Affiliation: Southern Illinois University Carbondale

#Computation Of Joint Spectral Radius #Extremal Norm + Show 8 more

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Abstract

AbstractIn the paper, we prove that any finite set of rank-one matrices has the finiteness property by making use of (invariant) extremal norm. An explicit formula for the computation of joint/generalized spectral radius of such type of matrix sets is derived. Several numerical examples from current literature are provided to illustrate our theoretical conclusion.Keywordsjoint/generalized spectral radiusfiniteness propertyirreducibleextremal normBarabanov norm

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