Antinorms and self-polar polyhedra

DOI10.1134/s0037446623050129OpenAlexW4387063122MaRDI QIDQ6046807

M. S. Makarov

Publication date: 6 October 2023

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446623050129

zbMATH Keywords

conepolyhedronconvex dualityantinormpolarconical polyhedron

Mathematics Subject Classification ID

Inequalities in real analysis (26Dxx) Convex and discrete geometry (52-XX) Geometry (51-XX)

Cites Work

• Asymptotics of products of nonnegative random matrices
• Invariant functionals for random matrices
• Lower and upper bounds for the largest Lyapunov exponent of matrices
• On \(l_{p_ 1,p_ 2}\) antinorms of nonnegative matrices
• Maximal Lyapunov exponents for random matrix products
• Absolute characteristic exponent of a class of linear nonstationary systems of differential equations
• The Lyapunov exponent and joint spectral radius of pairs of matrices are hard - when not impossible - to compute and to approximate
• Limit theorems for products of positive random matrices
• Asymptotic stability and stabilizability of special classes of discrete-time positive switched systems
• Exact computation of joint spectral characteristics of linear operators
• An antinorm theory for sets of matrices: bounds and approximations to the lower spectral radius
• Jensen and Minkowski inequalities for operator means and anti-norms
• Anti-norms on finite von Neumann algebras
• Polytope Lyapunov functions for stable and for stabilizable LSS
• Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions
• Invariant functions for the Lyapunov exponents of random matrices
• NORM AND ANTI-NORM INEQUALITIES FOR POSITIVE SEMI-DEFINITE MATRICES
• Continuity properties of the lower spectral radius
• Canonical Construction of Polytope Barabanov Norms and Antinorms for Sets of Matrices
• Stability and Stabilizability Criteria for Discrete-Time Positive Switched Systems
• Reverse triangle inequality. Antinorms and semi-antinorms
• Products of Random Matrices
• Antinorms on cones: duality and applications
• Unnamed Item

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