An inexact alternating direction method of multipliers for a kind of nonlinear complementarity problems
DOI10.3934/naco.2020030zbMath1476.90328OpenAlexW3035184139MaRDI QIDQ2061355
Chenyang Shi, Jie-Wen He, Chi-Chon Lei, Seak Weng Vong
Publication date: 13 December 2021
Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/naco.2020030
iterative methodsnonlinear complementarity problemaugmented Lagrangiansymmetric positive definiteinexact alternating direction method
Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical methods for variational inequalities and related problems (65K15)
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Cites Work
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- Two-step modulus-based matrix splitting iteration method for a class of nonlinear complementarity problems
- A monotone semismooth Newton type method for a class of complementarity problems
- Merit functions for nonsmooth complementarity problems and related descent algorithms
- Modified modulus-based matrix splitting algorithms for a class of weakly nondifferentiable nonlinear complementarity problems
- Free boundary problems with nonlinear source terms
- Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
- Fixed point approach for complementarity problems
- Block and asynchronous two-stage methods for mildly nonlinear systems
- Asynchronous parallel nonlinear multisplitting relaxation methods for large sparse nonlinear complementarity problems
- A class of asynchronous parallel nonlinear accelerated overrelaxation methods for the nonlinear complementarity problems
- Modified Gauss-Seidel type methods and Jacobi type methods for Z-matrices
- Interior-point methods
- The modulus-based nonsmooth Newton's method for solving a class of nonlinear complementarity problems of \(P\)-matrices
- An inexact alternating direction method of multipliers for the solution of linear complementarity problems arising from free boundary problems
- On Glowinski's open question on the alternating direction method of multipliers
- Modulus-based matrix splitting iteration methods for a class of nonlinear complementarity problem
- New comparison theorem for the nonlinear multisplitting relaxation method for the nonlinear complementarity problems
- Some recent advances in projection-type methods for variational inequalities
- A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
- A direct preconditioned modulus-based iteration method for solving nonlinear complementarity problems of \(H\)-matrices
- MSSOR-based alternating direction method for symmetric positive-definite linear complementarity problems
- A general modulus-based matrix splitting method for linear complementarity problems of \(H\)-matrices
- Accelerated modulus-based matrix splitting iteration methods for a restricted class of nonlinear complementarity problems
- On the global and linear convergence of the generalized alternating direction method of multipliers
- The modulus-based matrix splitting algorithms for a class of weakly nonlinear complementarity problems
- Parallel solutions of variational inequality problems with nonlinear source terms
- The relaxation modulus-based matrix splitting iteration method for solving a class of nonlinear complementarity problems
- Equilibrium Points of Bimatrix Games
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