Linear complementarity as absolute value equation solution

DOI10.1007/s11590-013-0656-zzbMath1288.90109OpenAlexW2041204694MaRDI QIDQ2448218

Olvi L. Mangasarian

Publication date: 30 April 2014

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-013-0656-z

zbMATH Keywords

linear programminglinear complementarityabsolute value equation

Mathematics Subject Classification ID

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

Related Items (16)

Unified smoothing functions for absolute value equation associated with second-order cone ⋮ A relaxed generalized Newton iteration method for generalized absolute value equations ⋮ On the global convergence of the inexact semi-smooth Newton method for absolute value equation ⋮ Two new iteration methods with optimal parameters for solving absolute value equations ⋮ Numerical solution of the absolute value equations using two matrix splitting fixed point iteration methods ⋮ Solving absolute value equation using complementarity and smoothing functions ⋮ Modified Newton-type iteration methods for generalized absolute value equations ⋮ The new iteration methods for solving absolute value equations. ⋮ The solution of a type of absolute value equations using two new matrix splitting iterative techniques ⋮ A generalized Newton method for absolute value equations associated with circular cones ⋮ Bounds for the solutions of absolute value equations ⋮ A smoothing Newton method for absolute value equation associated with second-order cone ⋮ Optimal correction of the absolute value equations ⋮ Tikhonov regularization for infeasible absolute value equations ⋮ Levenberg-Marquardt method for absolute value equation associated with second-order cone ⋮ The solution of the absolute value equations using two generalized accelerated overrelaxation methods

Uses Software

• Matlab
• CPLEX

Cites Work

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• Primal-dual bilinear programming solution of the absolute value equation
• Absolute value equations
• Absolute value programming
• A generalized Newton method for absolute value equations
• NP-completeness of the linear complementarity problem
• Solution of general linear complementarity problems via nondifferentiable concave minimization
• Absolute value equation solution via dual complementarity
• Absolute value equation solution via concave minimization
• Complementary pivot theory of mathematical programming
• Convex Analysis

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