On asymptotic properties of matrix semigroups with an invariant cone

DOI10.1016/j.laa.2012.04.006zbMath1258.15015arXiv1201.3212OpenAlexW2171144202MaRDI QIDQ442681

Raphaël M. Jungers

Publication date: 3 August 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3212

zbMATH Keywords

joint spectral radiusinvariant conesmatrix semigroupsjoint spectral subradiusmaximal spectral radiusmaximal trace

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Algebraic systems of matrices (15A30)

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Lower and upper bounds for the largest Lyapunov exponent of matrices ⋮ Hourglass alternative and the finiteness conjecture for the spectral characteristics of sets of non-negative matrices ⋮ Resonance and marginal instability of switching systems ⋮ Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles ⋮ Extremal norms for positive linear inclusions ⋮ The Berger-Wang formula for the Markovian joint spectral radius ⋮ Polytopic uncertainty for linear systems: new and old complexity results ⋮ Continuity properties of the lower spectral radius ⋮ Consensus in asynchronous multiagent systems. III: Constructive stability and stabilizability ⋮ Consensus in asynchronous multiagent systems. II: Method of joint spectral radius

Cites Work

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