Strict semimonotonicity property of linear transformations on Euclidean Jordan algebras

DOI10.1007/s10957-009-9611-7zbMath1201.90194OpenAlexW2113447742MaRDI QIDQ965062

Jiyuan Tao

Publication date: 21 April 2010

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

Full work available at URL: https://doi.org/10.1007/s10957-009-9611-7

zbMATH Keywords

complementarity problemEuclidean Jordan algebra\(P\) property\(Q\) property\(R_0\) property\(Z\) propertycopositivenessGUS propertySSM property

Mathematics Subject Classification ID

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

Related Items (14)

Some P-properties of the quadratic representations and automorphism invariance in Euclidean Jordan algebras ⋮ Solvability based on E-property for the nonlinear symmetric cone complementarity problem ⋮ More results on column sufficiency property in Euclidean Jordan algebras ⋮ On the completely-Q property for linear transformations on Euclidean Jordan algebras ⋮ Similarity automorphism invariance of some P-properties of linear transformations on Euclidean Jordan algebras ⋮ Complementarity properties of singular \(M\)-matrices ⋮ On the Lipschitz continuity of the solution map in linear complementarity problems over second-order cone ⋮ On the Lipschitzian property in linear complementarity problems over symmetric cones ⋮ Jordan quadratic SSM-property and its relation to copositive linear transformations on Euclidean Jordan algebras ⋮ Complementarity Problems Over Symmetric Cones: A Survey of Recent Developments in Several Aspects ⋮ Extensions of P-property, R0-property and semidefinite linear complementarity problems ⋮ Some new results on the \(\mathbf{P}\)-type properties of \(\mathbf{Z}\)-transformations on symmetric cones ⋮ A uniqueness result for linear complementarity problems over the Jordan spin algebra ⋮ Linear complementarity results for \(\mathbf{Z}\)-matrices on Lorentz cone

Cites Work

• Unnamed Item
• Some P-properties for linear transformations on Euclidean Jordan algebras
• Z-transformations on proper and symmetric cones
• Positive principal minor property of linear transformations on Euclidean Jordan algebras
• An existence theorem for the complementarity problem
• Extension of primal-dual interior point algorithms to symmetric cones
• Second-order cone programming
• On semidefinite linear complementarity problems
• Complementarity forms of theorems of Lyapunov and Stein, and related results
• Some New Results for the Semidefinite Linear Complementarity Problem
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Some P-Properties for Nonlinear Transformations on Euclidean Jordan Algebras
• Automorphism Invariance of P- and GUS-Properties of Linear Transformations on Euclidean Jordan Algebras
• Numerical Methods for Quasi‐Linear Elliptic Equations with Nonlinear Boundary Conditions

This page was built for publication: Strict semimonotonicity property of linear transformations on Euclidean Jordan algebras