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Conditions for Error Bounds of Linear Complementarity Problems over Second-Order Cones with Pseudomonotonicity

Conditions for Error Bounds of Linear Complementarity Problems over Second-Order Cones with... We first discuss some properties of the solution set of a pseudomonotone second-order cone linear complementarity problem (SOCLCP), and then analyse the limiting behavior of a sequence of strictly feasible solutions within a new wide neighborhood of the central trajectory for the pseudomonotone SOCLCP under assumptions of strict complementarity. Based on this, we derive four different characterizations of an error bound for the pseudomonotone SOCLCP. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Conditions for Error Bounds of Linear Complementarity Problems over Second-Order Cones with Pseudomonotonicity

Acta Applicandae Mathematicae , Volume 156 (1) – Jan 18, 2018

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References (31)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer Science+Business Media B.V., part of Springer Nature
Subject
Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Partial Differential Equations; Probability Theory and Stochastic Processes; Calculus of Variations and Optimal Control; Optimization
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-018-0158-1
Publisher site
See Article on Publisher Site

Abstract

We first discuss some properties of the solution set of a pseudomonotone second-order cone linear complementarity problem (SOCLCP), and then analyse the limiting behavior of a sequence of strictly feasible solutions within a new wide neighborhood of the central trajectory for the pseudomonotone SOCLCP under assumptions of strict complementarity. Based on this, we derive four different characterizations of an error bound for the pseudomonotone SOCLCP.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Jan 18, 2018

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