Linear complementarity problems over symmetric cones: characterization of \(Q _{b }\)-transformations and existence results

DOI10.1007/s10957-012-0116-4zbMath1317.90296OpenAlexW1998822486MaRDI QIDQ2442698

Julio López, C. Héctor Ramírez, Rubén López

Publication date: 1 April 2014

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-012-0116-4

zbMATH Keywords

linear complementarity problemsymmetric coneEuclidean Jordan algebraGarcía's transformation\(Q _{b }\)-transformation\(Q\)-transformation

Mathematics Subject Classification ID

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

Related Items (1)

Erratum: A note on the paper ``Linear complementarity problems over symmetric cones: characterization of \(Q_b\)-transformations and existence results

Cites Work

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• More results on Schur complements in Euclidean Jordan algebras
• On the Lipschitzian property in linear complementarity problems over symmetric cones
• Characterizing \(\mathbf Q\)-linear transformations for semidefinite linear complementarity problems
• Some P-properties for linear transformations on Euclidean Jordan algebras
• Characterizing \(Q\)-matrices beyond \(L\)-matrices
• Convexity and differentiability properties of spectral functions and spectral mappings on Euclidean Jordan algebras
• Z-transformations on proper and symmetric cones
• Applications of second-order cone programming
• \(Q\)-matrices and boundedness of solutions to linear complementarity problems
• Extension of primal-dual interior point algorithms to symmetric cones
• Variational methods in partially ordered spaces
• Second-order cone programming
• On semidefinite linear complementarity problems
• On \(Q\) and \(R_0\) properties of a quadratic representation in linear complementarity problems over the second-order cone
• The basic theorem of complementarity revisited
• Positive operators and an inertia theorem
• Smoothing Functions for Second-Order-Cone Complementarity Problems
• Interior proximal algorithm with variable metric for second-order cone programming: applications to structural optimization and support vector machines
• The Linear Complementarity Problem
• Matrix Analysis
• A constructive characterization ofQ o-matrices with nonnegative principal minors
• Some perturbation results for the Linear Complementarity Problem
• Variational Analysis
• Some classes of matrices in linear complementarity theory
• Some New Results for the Semidefinite Linear Complementarity Problem
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Complementarity properties of Peirce-diagonalizable linear transformations on Euclidean Jordan algebras^†
• Some P-Properties for Nonlinear Transformations on Euclidean Jordan Algebras
• Automorphism Invariance of P- and GUS-Properties of Linear Transformations on Euclidean Jordan Algebras
• The Linear Complementarity Problem Under Asymptotic Analysis
• Numerical Methods for Quasi‐Linear Elliptic Equations with Nonlinear Boundary Conditions

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