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Books and Theses
- 2014
[b2]Hédy Attouch, Giorgio C. Buttazzo, Gérard Michaille:
Variational Analysis in Sobolev and BV Spaces - Applications to PDEs and Optimization, Second Edition. MPS-SIAM series on optimization 17, SIAM 2014, ISBN 978-1-611-97347-1, pp. I-XII, 1-793- 2005
- [b1]Hédy Attouch, Giuseppe C. Buttazzo, Gérard Michaille:
Variational analysis in Sobolev and BV spaces - applications to PDEs and optimization. MPS-SIAM series on optimization 6, SIAM 2005, ISBN 978-0-89871-600-9, pp. I-XII, 1-634
Journal Articles
- 2024
- [j35]Samir Adly
, Hédy Attouch, Manh Hung Le:
A Doubly Nonlinear Evolution System with Threshold Effects Associated with Dry Friction. J. Optim. Theory Appl. 203(2): 1188-1218 (2024) - [j34]Hédy Attouch, Szilárd Csaba László:
Convex optimization via inertial algorithms with vanishing Tikhonov regularization: fast convergence to the minimum norm solution. Math. Methods Oper. Res. 99(3): 307-347 (2024) - [j33]Camille Castera, Hédy Attouch, Jalal Fadili, Peter Ochs:
Continuous Newton-like Methods Featuring Inertia and Variable Mass. SIAM J. Optim. 34(1): 251-277 (2024) - 2023
- [j32]Samir Adly, Hédy Attouch, Manh Hung Le:
First order inertial optimization algorithms with threshold effects associated with dry friction. Comput. Optim. Appl. 86(3): 801-843 (2023) - [j31]Samir Adly, Hédy Attouch, Van Nam Vo:
Convergence of Inertial Dynamics Driven by Sums of Potential and Nonpotential Operators with Implicit Newton-Like Damping. J. Optim. Theory Appl. 198(1): 290-331 (2023) - 2022
- [j30]Hédy Attouch, Zaki Chbani, Jalal Fadili, Hassan Riahi:
Fast Convergence of Dynamical ADMM via Time Scaling of Damped Inertial Dynamics. J. Optim. Theory Appl. 193(1): 704-736 (2022) - [j29]Hédy Attouch, Zaki Chbani, Jalal Fadili, Hassan Riahi:
First-order optimization algorithms via inertial systems with Hessian driven damping. Math. Program. 193(1): 113-155 (2022) - [j28]Samir Adly, Hédy Attouch:
First-order inertial algorithms involving dry friction damping. Math. Program. 193(1): 405-445 (2022) - [j27]Hédy Attouch, Jalal Fadili:
From the Ravine Method to the Nesterov Method and Vice Versa: A Dynamical System Perspective. SIAM J. Optim. 32(3): 2074-2101 (2022) - 2020
- [j26]Hédy Attouch, Alexandre Cabot:
Convergence of a relaxed inertial proximal algorithm for maximally monotone operators. Math. Program. 184(1): 243-287 (2020) - [j25]Samir Adly, Hédy Attouch:
Finite Convergence of Proximal-Gradient Inertial Algorithms Combining Dry Friction with Hessian-Driven Damping. SIAM J. Optim. 30(3): 2134-2162 (2020) - [j24]Hédy Attouch, Szilárd Csaba László:
Newton-like Inertial Dynamics and Proximal Algorithms Governed by Maximally Monotone Operators. SIAM J. Optim. 30(4): 3252-3283 (2020) - 2019
- [j23]Hédy Attouch, Juan Peypouquet:
Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators. Math. Program. 174(1-2): 391-432 (2019) - [j22]Hédy Attouch, Zaki Chbani, Hassan Riahi:
Fast Proximal Methods via Time Scaling of Damped Inertial Dynamics. SIAM J. Optim. 29(3): 2227-2256 (2019) - 2018
- [j21]Hédy Attouch, Alexandre Cabot, Zaki Chbani, Hassan Riahi:
Inertial Forward-Backward Algorithms with Perturbations: Application to Tikhonov Regularization. J. Optim. Theory Appl. 179(1): 1-36 (2018) - [j20]Hédy Attouch, Zaki Chbani, Juan Peypouquet, Patrick Redont:
Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity. Math. Program. 168(1-2): 123-175 (2018) - [j19]Hédy Attouch, Alexandre Cabot:
Convergence Rates of Inertial Forward-Backward Algorithms. SIAM J. Optim. 28(1): 849-874 (2018) - 2016
- [j18]Hédy Attouch, Luis M. Briceño-Arias, Patrick L. Combettes:
A strongly convergent primal-dual method for nonoverlapping domain decomposition. Numerische Mathematik 133(3): 443-470 (2016) - [j17]Hédy Attouch, Juan Peypouquet:
The Rate of Convergence of Nesterov's Accelerated Forward-Backward Method is Actually Faster Than 1/k2. SIAM J. Optim. 26(3): 1824-1834 (2016) - 2014
- [j16]Boushra Abbas, Hédy Attouch, Benar Fux Svaiter:
Newton-Like Dynamics and Forward-Backward Methods for Structured Monotone Inclusions in Hilbert Spaces. J. Optim. Theory Appl. 161(2): 331-360 (2014) - [j15]Hédy Attouch, Juan Peypouquet, Patrick Redont:
A Dynamical Approach to an Inertial Forward-Backward Algorithm for Convex Minimization. SIAM J. Optim. 24(1): 232-256 (2014) - 2013
- [j14]Hédy Attouch, Patrick Redont, Benar Fux Svaiter:
Global Convergence of a Closed-Loop Regularized Newton Method for Solving Monotone Inclusions in Hilbert Spaces. J. Optim. Theory Appl. 157(3): 624-650 (2013) - [j13]Hédy Attouch, Jérôme Bolte, Benar Fux Svaiter:
Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods. Math. Program. 137(1-2): 91-129 (2013) - 2011
- [j12]Hédy Attouch, Benar Fux Svaiter:
A Continuous Dynamical Newton-Like Approach to Solving Monotone Inclusions. SIAM J. Control. Optim. 49(2): 574-598 (2011) - [j11]Hédy Attouch, Marc-Olivier Czarnecki, Juan Peypouquet:
Prox-Penalization and Splitting Methods for Constrained Variational Problems. SIAM J. Optim. 21(1): 149-173 (2011) - [j10]Hédy Attouch, Marc-Olivier Czarnecki, Juan Peypouquet:
Coupling Forward-Backward with Penalty Schemes and Parallel Splitting for Constrained Variational Inequalities. SIAM J. Optim. 21(4): 1251-1274 (2011) - 2010
- [j9]Hédy Attouch, Jérôme Bolte, Patrick Redont, Antoine Soubeyran:
Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz Inequality. Math. Oper. Res. 35(2): 438-457 (2010) - [j8]Hédy Attouch, Luis M. Briceño-Arias, Patrick L. Combettes:
A Parallel Splitting Method for Coupled Monotone Inclusions. SIAM J. Control. Optim. 48(5): 3246-3270 (2010) - 2009
- [j7]Hédy Attouch, Roberto Cominetti, Marc Teboulle:
Foreword: Special issue on nonlinear convex optimization and variational inequalities. Math. Program. 116(1-2): 1-3 (2009) - [j6]Hédy Attouch, Jérôme Bolte:
On the convergence of the proximal algorithm for nonsmooth functions involving analytic features. Math. Program. 116(1-2): 5-16 (2009) - 2007
- [j5]Hédy Attouch, Patrick Redont, Antoine Soubeyran:
A New Class of Alternating Proximal Minimization Algorithms with Costs-to-Move. SIAM J. Optim. 18(3): 1061-1081 (2007) - 1996
- [j4]Hédy Attouch:
Viscosity Solutions of Minimization Problems. SIAM J. Optim. 6(3): 769-806 (1996) - 1993
- [j3]Hédy Attouch, Hassan Riahi:
Stability Results for Ekeland's ε-Variational Principle and Cone Extremal Solutions. Math. Oper. Res. 18(1): 173-201 (1993) - [j2]Hédy Attouch, Roger J.-B. Wets:
Quantitative stability of variational systems: III. epsilon-approximate solutions. Math. Program. 61: 197-214 (1993) - [j1]Hédy Attouch, Roger J.-B. Wets:
Quantitative Stability of Variational Systems II. A Framework for Nonlinear Conditioning. SIAM J. Optim. 3(2): 359-381 (1993)
Informal and Other Publications
- 2022
- [i1]Hédy Attouch, Jalal Fadili:
From the Ravine method to the Nesterov method and vice versa: a dynamical system perspective. CoRR abs/2201.11643 (2022)
Coauthor Index
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