Properties of a class of multilevel optimization algorithms for equality-constrained problems
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Publication:5746689
DOI10.1080/10556788.2012.759571zbMath1282.65070OpenAlexW2083613895MaRDI QIDQ5746689
Publication date: 7 February 2014
Published in: Optimization Methods and Software (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10556788.2012.759571
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical mathematical programming methods (65K05) Nonlinear programming (90C30)
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Cites Work
- Multigrid optimization methods for linear and bilinear elliptic optimal control problems
- Analysis of a damped nonlinear multilevel method
- On a product of positive semidefinite matrices
- On multilevel iterative methods for optimization problems
- On the convergence of the MG/OPT method
- On the Multiscale Solution of Constrained Minimization Problems
- 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
- A Line Search Multigrid Method for Large-Scale Nonlinear Optimization
- Recursive Trust-Region Methods for Multiscale Nonlinear Optimization
- Multigrid Optimization Schemes for Solving Bose–Einstein Condensate Control Problems
- Numerical Optimization
- Trust Region Methods
- A multigrid approach to discretized optimization problems
- A Global Convergence Analysis of an Algorithm for Large-Scale Nonlinear Optimization Problems
- A Nonmonotone Line Search Technique for Newton’s Method
- Truncated Newton-Based Multigrid Algorithm for Centroidal Voronoi Diagram Calculation
- Optimization Algorithms for Hierarchical Problems with Application to Nanoporous Materials
- Model Problems for the Multigrid Optimization of Systems Governed by Differential Equations