The Lyapunov rank of an improper cone

DOI10.1080/10556788.2016.1202246zbMath1365.90191OpenAlexW2460623955MaRDI QIDQ5268894

Michael Orlitzky

Publication date: 21 June 2017

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556788.2016.1202246

zbMATH Keywords

automorphism groupLie algebraLyapunov rankconic programmingLyapunov-like transformation

Mathematics Subject Classification ID

Semidefinite programming (90C22) Convex programming (90C25) Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Lie algebras of Lie groups (22E60)

Related Items (4)

Unnamed Item ⋮ Gaddum's test for symmetric cones ⋮ Linear Games and Complementarity Problems ⋮ Tight bounds on Lyapunov rank

Cites Work

• The automorphism group of a completely positive cone and its Lie algebra
• On the bilinearity rank of a proper cone and Lyapunov-like transformations
• Bilinear optimality constraints for the cone of positive polynomials
• On the irreducibility, Lyapunov rank, and automorphisms of special Bishop-Phelps cones
• The Linear Complementarity Problem
• Cross-Positive Matrices
• An improved bound for the Lyapunov rank of a proper cone
• Unnamed Item
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