Variational convergence for functions and operators A Attouch Applicable Mathematics Series, 1984 | 2387 | 1984 |
Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward–backward splitting, and regularized Gauss–Seidel methods H Attouch, J Bolte, BF Svaiter Mathematical Programming 137 (1), 91-129, 2013 | 1441 | 2013 |
Proximal alternating minimization and projection methods for nonconvex problems: An approach based on the Kurdyka-Łojasiewicz inequality H Attouch, J Bolte, P Redont, A Soubeyran Mathematics of operations research 35 (2), 438-457, 2010 | 1266 | 2010 |
Variational analysis in Sobolev and BV spaces: applications to PDEs and optimization H Attouch, G Buttazzo, G Michaille Society for Industrial and Applied Mathematics, 2014 | 1075 | 2014 |
An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping F Alvarez, H Attouch Set-Valued Analysis 9, 3-11, 2001 | 806 | 2001 |
On the convergence of the proximal algorithm for nonsmooth functions involving analytic features H Attouch, J Bolte Mathematical Programming 116, 5-16, 2009 | 674 | 2009 |
The heavy ball with friction method, I. The continuous dynamical system: global exploration of the local minima of a real-valued function by asymptotic analysis of a … H Attouch, X Goudou, P Redont Communications in Contemporary Mathematics 2 (01), 1-34, 2000 | 360 | 2000 |
The Rate of Convergence of Nesterov's Accelerated Forward-Backward Method is Actually Faster Than H Attouch, J Peypouquet SIAM Journal on Optimization 26 (3), 1824-1834, 2016 | 313 | 2016 |
Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity H Attouch, Z Chbani, J Peypouquet, P Redont Mathematical Programming 168, 123-175, 2018 | 310 | 2018 |
Quantitative stability of variational systems. I. The epigraphical distance H Attouch, RJB Wets Transactions of the American Mathematical Society 328 (2), 695-729, 1991 | 262 | 1991 |
Duality for the sum of convex functions in general Banach spaces H Attouch, H Brezis North-Holland Mathematical Library 34, 125-133, 1986 | 245 | 1986 |
A second-order gradient-like dissipative dynamical system with hessian-driven damping.: Application to optimization and mechanics F Alvarez, H Attouch, J Bolte, P Redont Journal de mathématiques pures et appliquées 81 (8), 747-779, 2002 | 228 | 2002 |
A dynamical approach to an inertial forward-backward algorithm for convex minimization H Attouch, J Peypouquet, P Redont SIAM Journal on Optimization 24 (1), 232-256, 2014 | 196 | 2014 |
Alternating proximal algorithms for weakly coupled convex minimization problems. Applications to dynamical games and PDE's H Attouch, J Bolte, P Redont, A Soubeyran Journal of Convex Analysis 15 (3), 485, 2008 | 187 | 2008 |
Viscosity solutions of minimization problems H Attouch SIAM Journal on Optimization 6 (3), 769-806, 1996 | 178 | 1996 |
A general duality principle for the sum of two operators H Attouch, M Théra Journal of Convex Analysis 3, 1-24, 1996 | 172 | 1996 |
A dynamical approach to convex minimization coupling approximation with the steepest descent method H Attouch, R Cominetti Journal of Differential Equations 128 (2), 519-540, 1996 | 165 | 1996 |
The topology of theρ-hausdorff distance H Attouch, R Lucchetti, RJB Wets Annali di Matematica pura ed applicata 160 (1), 303-320, 1991 | 158 | 1991 |
Familles d'opérateurs maximaux monotones et mesurabilité H Attouch Annali di Matematica pura ed applicata 120, 35-111, 1979 | 151 | 1979 |
Variational analysis in Sobolev and BV spaces, volume 6 of MPS/SIAM Series on Optimization H Attouch, G Buttazzo, G Michaille Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2006 | 145 | 2006 |