On the Lipschitz continuity of the solution map in linear complementarity problems over second-order cone

DOI10.1016/j.laa.2016.08.019zbMath1352.90096OpenAlexW2516490340MaRDI QIDQ501228

K. Palpandi, Ramamurthy Balaji

Publication date: 29 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.08.019

zbMATH Keywords

Lipschitz continuitysecond-order cone\(\mathbb{Z}\)-matrices with respect to a coneMoreau decomposition

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Cites Work

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• Some P-properties for linear transformations on Euclidean Jordan algebras
• Z-transformations on proper and symmetric cones
• Strict semimonotonicity property of linear transformations on Euclidean Jordan algebras
• 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
• Positive principal minor property of linear transformations on Euclidean Jordan algebras
• Positive operators on the \(n\)-dimensional ice cream cone
• Lipschitzian \(\mathbb{Q}\)-matrices are \(\mathbb{P}\)-matrices
• A uniqueness result for linear complementarity problems over the Jordan spin algebra
• On the Continuity of the Solution Map in Linear Complementarity Problems
• Finite-Dimensional Variational Inequalities and Complementarity Problems

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