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Optimization Methods and Software Volume 25, 2010 - Issue 3: The 2nd Veszprém Optimization Conference: Advanced Algorithms (VOCAL), 13–15 December 2006, Veszprém, Hungary
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Original Articles

Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization

Serge Gratton CERFACS, av. G. Coriolis, Toulouse, FranceCorrespondence[email protected]
,
Mélodie Mouffe CERFACS, av. G. Coriolis, Toulouse, France
,
Annick Sartenaer Department of Mathematics, University of Namur, 61, rue de Bruxelles, B-5000, Namur, Belgium
,
Philippe L. Toint Department of Mathematics, University of Namur, 61, rue de Bruxelles, B-5000, Namur, Belgium
&
Dimitri Tomanos Department of Mathematics, University of Namur, 61, rue de Bruxelles, B-5000, Namur, Belgium
Pages 359-386 | Received 28 Feb 2007, Published online: 16 Nov 2009

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Chin Pang Ho, Michal Kočvara & Panos Parpas. (2022) Newton-type multilevel optimization method. Optimization Methods and Software 37:1, pages 45-78.
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Michal Kočvara & Sudaba Mohammed. (2016) A first-order multigrid method for bound-constrained convex optimization. Optimization Methods and Software 31:3, pages 622-644.
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Emanuele Frandi & Alessandra Papini. (2015) Improving Direct Search algorithms by multilevel optimization techniques. Optimization Methods and Software 30:5, pages 1077-1094.
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Emanuele Frandi & Alessandra Papini. (2014) Coordinate search algorithms in multilevel optimization. Optimization Methods and Software 29:5, pages 1020-1041.
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Stephen G. Nash. (2014) Properties of a class of multilevel optimization algorithms for equality-constrained problems. Optimization Methods and Software 29:1, pages 137-159.
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Marco Sutti & Bart Vandereycken. (2021) Riemannian Multigrid Line Search for Low-Rank Problems. SIAM Journal on Scientific Computing 43:3, pages A1803-A1831.
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Kexin Wang, Cheng Yang, Zhijiang Shao, Xiaojin Huang & Lorenz T. Biegler. (2020) A Trust-Region Framework for Real-Time Optimization with Structural Process-Model Mismatch. Vietnam Journal of Mathematics 48:4, pages 809-830.
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Alena Kopaničáková & Rolf Krause. (2020) A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture. Computer Methods in Applied Mechanics and Engineering 360, pages 112720.
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Alena Kopaničáková, Rolf Krause & Rasmus Tamstorf. (2019) Subdivision-Based Nonlinear Multiscale Cloth Simulation. SIAM Journal on Scientific Computing 41:5, pages S433-S461.
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Panos Parpas. (2017) A Multilevel Proximal Gradient Algorithm for a Class of Composite Optimization Problems. SIAM Journal on Scientific Computing 39:5, pages S681-S701.
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Anshul Agarwal & Lorenz T. Biegler. (2011) A trust-region framework for constrained optimization using reduced order modeling. Optimization and Engineering 14:1, pages 3-35.
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S. Ulbrich & R. Roth. 2013. Flow and Combustion in Advanced Gas Turbine Combustors. Flow and Combustion in Advanced Gas Turbine Combustors 379 411 .
Serge Gratton, Vincent Malmedy & Philippe L. Toint. (2011) Using approximate secant equations in limited memory methods for multilevel unconstrained optimization. Computational Optimization and Applications 51:3, pages 967-979.
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Vincent Malmedy & Philippe L. Toint. (2010) Approximating Hessians in unconstrained optimization arising from discretized problems. Computational Optimization and Applications 50:1, pages 1-22.
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James J. Cochran, Louis A. CoxJr.Jr., Pinar Keskinocak, Jeffrey P. Kharoufeh & J. Cole SmithGiovanni Fasano. 2011. Wiley Encyclopedia of Operations Research and Management Science. Wiley Encyclopedia of Operations Research and Management Science.

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