Counterexamples to the Complex Polytope Extremality Conjecture

DOI10.1137/080730652zbMath1202.15027OpenAlexW1992253023WikidataQ122989074 ScholiaQ122989074MaRDI QIDQ3561164

Vladimir Yu. Protasov, Raphaël M. Jungers

Publication date: 25 May 2010

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080730652

zbMATH Keywords

irreduciblejoint spectral radiuscounterexamplesfiniteness propertyinvariant coneextremal complex polytope normnondefective set of matrices

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (9)

The Barabanov Norm is Generically Unique, Simple, and Easily Computed ⋮ On primitivity of sets of matrices ⋮ Exact computation of joint spectral characteristics of linear operators ⋮ Explicit construction of a Barabanov norm for a class of positive planar discrete-time linear switched systems ⋮ The finite-step realizability of the joint spectral radius of a pair of \(d \times d\) matrices one of which being rank-one ⋮ Extremal and Barabanov semi-norms of a semigroup generated by a bounded family of matrices ⋮ Periodically switched stability induces exponential stability of discrete-time linear switched systems in the sense of Markovian probabilities ⋮ Finiteness property of pairs of \(2\times 2\) sign-matrices via real extremal polytope norms ⋮ Stability of Linear Problems: Joint Spectral Radius of Sets of Matrices

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