On an interconnection between the Lipschitz continuity of the solution map and the positive principal minor property in linear complementarity problems over Euclidean Jordan algebras

DOI10.1016/j.laa.2007.04.004zbMath1138.90033OpenAlexW1984315737MaRDI QIDQ996222

Ramamurthy Balaji

Publication date: 13 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.04.004

zbMATH Keywords

complementarityLipschitzian propertypositive principal minor propertyQ-property

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Jordan structures associated with other structures (17C50) Associated groups, automorphisms of Jordan algebras (17C30)

Related Items (9)

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 ⋮ Pseudomonotonicity of nonlinear transformations on Euclidean Jordan algebras ⋮ Similarity automorphism invariance of some P-properties of linear transformations on Euclidean Jordan algebras ⋮ On the Lipschitz continuity of the solution map in linear complementarity problems over second-order cone ⋮ Complementarity properties of the Lyapunov transformation over symmetric cones ⋮ Lipschitz continuity of the solution mapping of symmetric cone complementarity problems ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some P-properties for linear transformations on Euclidean Jordan algebras
• Z-transformations on proper and symmetric cones
• Lipschitzian \(\mathbb{Q}\)-matrices are \(\mathbb{P}\)-matrices
• On the Lipschitzian properties of polyhedral multifunctions
• On the Continuity of the Solution Map in Linear Complementarity Problems
• Normal Maps Induced by Linear Transformations
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Automorphism Invariance of P- and GUS-Properties of Linear Transformations on Euclidean Jordan Algebras
• On the Lipschitz Continuity of the Solution Map in Semidefinite Linear Complementarity Problems
• Numerical Methods for Quasi‐Linear Elliptic Equations with Nonlinear Boundary Conditions

This page was built for publication: On an interconnection between the Lipschitz continuity of the solution map and the positive principal minor property in linear complementarity problems over Euclidean Jordan algebras