A first-order multigrid method for bound-constrained convex optimization
From MaRDI portal
Publication:2815552
DOI10.1080/10556788.2016.1146267zbMath1342.90184arXiv1602.03771OpenAlexW2269075851MaRDI QIDQ2815552
Michal Kočvara, Sudaba Mohammed
Publication date: 29 June 2016
Published in: Optimization Methods and Software (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.03771
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear programming (90C30) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
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Cites Work
- A multilevel iterative method for symmetric, positive definite linear complementarity problems
- Multigrid methods II. Proceedings of the 2nd European Conference on Multigrid Methods held at Cologne (Federal Republic of Germany), October 1-4, 1985
- On multi-grid methods for variational inequalities
- Monotone multigrid methods for elliptic variational inequalities. I
- Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming
- On multilevel iterative methods for optimization problems
- MGOPT with gradient projection method for solving bilinear elliptic optimal control problems
- Coordinate search algorithms in multilevel optimization
- Remark on “algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound constrained optimization”
- Multigrid Algorithms for the Solution of Linear Complementarity Problems Arising from Free Boundary Problems
- Improving Direct Search algorithms by multilevel optimization techniques
- A recursive Formula-trust-region method for bound-constrained nonlinear optimization
- Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization
- On the Convergence of Recursive Trust-Region Methods for Multiscale Nonlinear Optimization and Applications to Nonlinear Mechanics
- Recursive Trust-Region Methods for Multiscale Nonlinear Optimization
- Multigrid Methods for Variational Problems: General Theory for the V-Cycle
- Multigrid Algorithms for Variational Inequalities
- Two-sided approximations for unilateral variational inequalities by multi-grid methods
- A Multigrid Tutorial, Second Edition
- A multigrid approach to discretized optimization problems
- Properties of a class of multilevel optimization algorithms for equality-constrained problems
