On the max version of the generalized spectral radius theorem Original Research Article

Let Ψ be a bounded set of n×n non-negative matrices. Recently, the max algebra version μ(Ψ) of the generalized spectral radius of Ψ was introduced. We show thatimagewhere ρ denotes the generalized spectral radius and Ψ(t) the Hadamard power of Ψ. This provides a description of μ(Ψ) that uses no max terminology. As an application we give a short proof of the max version of the generalized spectral radius theorem.