On \(Q\) and \(R_0\) properties of a quadratic representation in linear complementarity problems over the second-order cone

DOI10.1016/j.laa.2004.09.017zbMath1069.90099OpenAlexW2046115954MaRDI QIDQ1774962

S. R. Mohan, Madhur Malik

Publication date: 4 May 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.09.017

zbMATH Keywords

\(R_0\)-propertySecond-order coneFace\(Q\)-property

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (13)

Some P-properties of the quadratic representations and automorphism invariance in Euclidean Jordan algebras ⋮ The modulus-based matrix splitting iteration methods for second-order cone linear complementarity problems ⋮ A semi-smooth Newton method for projection equations and linear complementarity problems with respect to the second order cone ⋮ The matrix splitting iteration method for nonlinear complementarity problems associated with second-order cone ⋮ Anderson accelerating the preconditioned modulus approach for linear complementarity problems on second-order cones ⋮ Reducing the projection onto the monotone extended second-order cone to the pool-adjacent-violators algorithm of isotonic regression ⋮ Linear complementarity problems over symmetric cones: characterization of \(Q _{b }\)-transformations and existence results ⋮ The solution set structure of monotone linear complementarity problems over second-order cone ⋮ On unitary elements defined on Lorentz cone and their applications ⋮ How to project onto extended second order cones ⋮ A descent method for a reformulation of the second-order cone complementarity problem ⋮ Conditions for error bounds and bounded level sets of some merit functions for the second-order cone complementarity problem ⋮ Equilibrium problems involving the Lorentz cone

Cites Work

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• Some P-properties for linear transformations on Euclidean Jordan algebras
• An existence theorem for the complementarity problem
• Positive operators on the \(n\)-dimensional ice cream cone
• Extension of primal-dual interior point algorithms to symmetric cones
• Second-order cone programming
• On the number of solutions to the complementarity problem and spanning properties of complementary cones
• Associative and Jordan Algebras, and Polynomial Time Interior-Point Algorithms for Symmetric Cones
• Smoothing Functions for Second-Order-Cone Complementarity Problems
• Relationship Between Strong Monotonicity Property, P₂-Property, and the Gus-Property in Semidefinite Linear Complementarity Problems
• Semismooth Homeomorphisms and Strong Stability of Semidefinite and Lorentz Complementarity Problems

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