An inexact alternating direction method of multipliers for a kind of nonlinear complementarity problems
type: Item
instance of: scholarly article
title: An inexact alternating direction method of multipliers for a kind of nonlinear complementarity problems
zbMATH Open document ID: 1476.90328
author: Jie-Wen He
author: Chi-Chon Lei
author: Chenyang Shi
author: Seak-Weng Vong
published in: Numerical Algebra, Control and Optimization
publication date: 2021-12-13T00:00:00Z
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 65K15
zbMATH DE Number: 7443602
zbMATH Keywords: inexact alternating direction method
zbMATH Keywords: augmented Lagrangian
zbMATH Keywords: nonlinear complementarity problem
zbMATH Keywords: iterative methods
zbMATH Keywords: symmetric positive definite
MaRDI profile type: Publication
full work available at URL: naco.2020030
OpenAlex ID: W3035184139
cites work: New comparison theorem for the nonlinear multisplitting relaxation method for the nonlinear complementarity problems
cites work: A class of asynchronous parallel nonlinear accelerated overrelaxation methods for the nonlinear complementarity problems
cites work: Asynchronous parallel nonlinear multisplitting relaxation methods for large sparse nonlinear complementarity problems
cites work: Block and asynchronous two-stage methods for mildly nonlinear systems
cites work: Merit functions for nonsmooth complementarity problems and related descent algorithms
cites work: On the global and linear convergence of the generalized alternating direction method of multipliers
cites work: Q3933378
cites work: Q4775415
cites work: Parallel solutions of variational inequality problems with nonlinear source terms
cites work: The modulus-based matrix splitting algorithms for a class of weakly nonlinear complementarity problems.
cites work: Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
cites work: Equilibrium Points of Bimatrix Games
cites work: Accelerated modulus-based matrix splitting iteration methods for a restricted class of nonlinear complementarity problems
cites work: Modified Gauss-Seidel type methods and Jacobi type methods for Z-matrices
cites work: A general modulus-based matrix splitting method for linear complementarity problems of \(H\)-matrices
cites work: Modified modulus-based matrix splitting algorithms for a class of weakly nondifferentiable nonlinear complementarity problems
cites work: Free boundary problems with nonlinear source terms
cites work: Fixed point approach for complementarity problems
cites work: Interior-point methods
cites work: A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
cites work: A monotone semismooth Newton type method for a class of complementarity problems
cites work: On Glowinski's open question on the alternating direction method of multipliers
cites work: Some recent advances in projection-type methods for variational inequalities
cites work: Two-step modulus-based matrix splitting iteration method for a class of nonlinear complementarity problems
cites work: Modulus-based matrix splitting iteration methods for a class of nonlinear complementarity problem
cites work: The relaxation modulus-based matrix splitting iteration method for solving a class of nonlinear complementarity problems
cites work: The modulus-based nonsmooth Newton's method for solving a class of nonlinear complementarity problems of \(P\)-matrices
cites work: A direct preconditioned modulus-based iteration method for solving nonlinear complementarity problems of \(H\)-matrices
cites work: MSSOR-based alternating direction method for symmetric positive-definite linear complementarity problems
cites work: An inexact alternating direction method of multipliers for the solution of linear complementarity problems arising from free boundary problems
DOI: 10.3934/NACO.2020030
description: scientific article; zbMATH DE number 7443602