Finding Extremal Complex Polytope Norms for Families of Real Matrices

DOI10.1137/080715718zbMath1197.93129OpenAlexW2039057583MaRDI QIDQ3561174

Nicola Guglielmi, Marino Zennaro

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/10.1137/080715718

zbMATH Keywords

joint spectral radiusextremal normsfamilies of matricescomplex conjugate leading eigenpairscomplex polytope norms

Mathematics Subject Classification ID

Robust stability (93D09) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Related Items (14)

Polytope Lyapunov functions for stable and for stabilizable LSS ⋮ An experimental study of approximation algorithms for the joint spectral radius ⋮ Computing the spectral gap of a family of matrices ⋮ Elliptic polytopes and invariant norms of linear operators ⋮ An Irreducible Linear Switching System Whose Unique Barabanov Norm Is Not Strictly Convex ⋮ Exact computation of joint spectral characteristics of linear operators ⋮ Rank-one characterization of joint spectral radius of finite matrix family ⋮ 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 ⋮ Subspace confinement for switched linear systems ⋮ Continuity properties of the lower spectral radius ⋮ Invariant Polytopes of Sets of Matrices with Application to Regularity of Wavelets and Subdivisions ⋮ A tree-based approach to joint spectral radius determination ⋮ Stability of Linear Problems: Joint Spectral Radius of Sets of Matrices

Uses Software

• Mathematica

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