Bilinear optimality constraints for the cone of positive polynomials

DOI10.1007/s10107-011-0458-yzbMath1233.90232OpenAlexW2081392908MaRDI QIDQ717131

Nilay Noyan, Gábor Rudolf, Farid Alizadeh, David Papp

Publication date: 27 September 2011

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10107-011-0458-y

zbMATH Keywords

optimality conditionspositive polynomialsbilinearity rankbilinear conescomplementarity slackness

Mathematics Subject Classification ID

Semidefinite programming (90C22) Optimality conditions and duality in mathematical programming (90C46)

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The monotone extended second-order cone and mixed complementarity problems, Unnamed Item, Positive operators on extended second order cones, Automorphisms of Rank-One Generated Hyperbolicity Cones and Their Derivative Relaxations, On the bilinearity rank of a proper cone and Lyapunov-like transformations, Lyapunov rank of polyhedral positive operators, Permutation invariant proper polyhedral cones and their Lyapunov rank, How to project onto extended second order cones, On the irreducibility, Lyapunov rank, and automorphisms of special Bishop-Phelps cones, Bilinear optimality constraints for the cone of positive polynomials, The Lyapunov rank of extended second order cones, An improved bound for the Lyapunov rank of a proper cone, An Introduction to Formally Real Jordan Algebras and Their Applications in Optimization, Unnamed Item, The Lyapunov rank of an improper cone, Tight bounds on Lyapunov rank

Cites Work

• Bilinear optimality constraints for the cone of positive polynomials
• Euclidean Jordan algebras and interior-point algorithms
• Extension of primal-dual interior point algorithms to symmetric cones
• Arrival Rate Approximation by Nonnegative Cubic Splines
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