The Lyapunov rank of extended second order cones

DOI10.1007/s10898-016-0445-1zbMath1351.90157OpenAlexW2419108084MaRDI QIDQ727399

Roman Sznajder

Publication date: 6 December 2016

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-016-0445-1

zbMATH Keywords

irreducibilityLyapunov rankproper coneLyapunov-like transformationextended second order cone

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Simple, semisimple Jordan algebras (17C20) Finite-dimensional structures of Jordan algebras (17C55)

Related Items (6)

The monotone extended second-order cone and mixed complementarity problems ⋮ Positive operators on extended second order cones ⋮ Linear complementarity problems on extended second order cones ⋮ Lyapunov rank of polyhedral positive operators ⋮ Primal interior-point decomposition algorithms for two-stage stochastic extended second-order cone programming ⋮ How to project onto extended second order cones

Cites Work

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• On the bilinearity rank of a proper cone and Lyapunov-like transformations
• Bilinear optimality constraints for the cone of positive polynomials
• Indecomposable cones
• On the irreducibility, Lyapunov rank, and automorphisms of special Bishop-Phelps cones
• Extended Lorentz cones and mixed complementarity problems
• An Introduction to Banach Space Theory
• A REPRESENTATION THEOREM FOR LYAPUNOV-LIKE TRANSFORMATIONS ON EUCLIDEAN JORDAN ALGEBRAS
• Cross-Positive Matrices
• An improved bound for the Lyapunov rank of a proper cone

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