The Jordan algebraic structure of the circular cone

DOI10.7153/oam-11-01zbMath1404.17046OpenAlexW2586604792MaRDI QIDQ5346599

Baha M. Alzalg

Publication date: 26 May 2017

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-11-01

zbMATH Keywords

Euclidean Jordan algebrasJordan algebrassymmetric conessecond-order conescircular cones

Mathematics Subject Classification ID

Semidefinite programming (90C22) Simple, semisimple Jordan algebras (17C20) Jordan structures associated with other structures (17C50) Identities and free Jordan structures (17C05)

Related Items (7)

An infeasible full NT-step interior point method for circular optimization ⋮ Smoothing functions and algorithm for nonsymmetric circular cone complementarity problems. ⋮ Smoothing inexact Newton method based on a new derivative-free nonmonotone line search for the NCP over circular cones ⋮ A path following interior-point method for linear complementarity problems over circular cones ⋮ On the symmetry of induced norm cones ⋮ A new full-NT step interior-point method for circular cone optimization ⋮ Primal interior-point decomposition algorithms for two-stage stochastic extended second-order cone programming

Cites Work

• Extension of primal-dual interior point algorithms to symmetric cones
• The convex and monotone functions associated with second-order cone
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