A MULTIPLICATIVE SCHWARZ ALGORITHM FOR THE NONLINEAR COMPLEMENTARITY PROBLEM WITH ANM-FUNCTION

DOI10.1017/S0004972710000389zbMath1211.90248OpenAlexW2144616338MaRDI QIDQ3065417

YingJun Jiang, Jin-ping Zeng

Publication date: 5 January 2011

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972710000389

zbMATH Keywords

error boundsnonlinear complementarity problems\(M\)-functionsmultiplicative Schwarz algorithm

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (8)

Parallel multiplicative Schwarz preconditioner for solving nonselfadjoint elliptic problems ⋮ Accelerated modulus-based matrix splitting iteration methods for a restricted class of nonlinear complementarity problems ⋮ Improved Inexact Alternating Direction Methods for a Class of Nonlinear Complementarity Problems ⋮ Quadratic convergence of monotone iterates for semilinear elliptic obstacle problems ⋮ A generalized modulus-based Newton method for solving a class of non-linear complementarity problems with \(P\)-matrices ⋮ A preconditioned general two-step modulus-based matrix splitting iteration method for linear complementarity problems of \(H_+\)-matrices ⋮ Two-step modulus-based matrix splitting iteration method for a class of nonlinear complementarity problems ⋮ Finite algorithms for the numerical solutions of a class of nonlinear complementarity problems

Cites Work

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• A multisplitting method for symmetric linear complementarity problems
• The alternating Schwarz method applied to some biharmonic variational inequalities
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• On P- and S-functions and related classes of \(n\)-dimensional nonlinear mappings
• On the Schwarz Alternating Method with More than two Subdomains for Nonlinear Monotone Problems
• Multigrid Algorithms for Variational Inequalities
• Error Bound and Convergence Analysis of Matrix Splitting Algorithms for the Affine Variational Inequality Problem
• On Monotone and Geometric Convergence of Schwarz Methods for Two-Sided Obstacle Problems
• Parallel solutions of variational inequality problems with nonlinear source terms
• Complementarity problems
• Weighted max-norm estimate of additive Schwarz iteration scheme for solving linear complementarity problems
• Algebraic theory of multiplicative Schwarz methods

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