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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