H. Attouch

activity

20082025

most citedThe rate of convergence of Nesterov's accelerated forward-backward method is actually faster than

1/ k^{2}

286 citations · 374 across the 36 of their papers we have counts for

collaborators

Showing 2016 · math.OCShow all

4 papers · 2 filters

math.OC2016

Combining fast inertial dynamics for convex optimization with Tikhonov regularization

Hedy Attouch, Zaki Chbani

In a Hilbert space setting $H$ , we study the convergence properties as $t \to + \infty$ of the trajectories of the second-order differential equation \begin{equation*} \mb…

math.OC2016

Asymptotic behavior of gradient-like dynamical systems involving inertia and multiscale aspects

Hedy Attouch, Marc-Olivier Czarnecki

In a Hilbert space $H$ , we study the asymptotic behaviour, as time variable $t$ goes to $+ \infty$ , of nonautonomous gradient-like dynamical systems involving inertia and m…

math.OC2016

Fast convex optimization via inertial dynamics with Hessian driven damping

Hedy Attouch, Juan Peypouquet, Patrick Redont

We first study the fast minimization properties of the trajectories of the second-order evolution equation $$\ddot{x}(t) + \fracα{t} \dot{x}(t) + β\nabla^2 Φ(x(t))\dot{x} (t) + \na…

math.OC2016★ 1 cited

Asymptotic behavior of nonautonomous monotone and subgradient evolution equations

Hedy Attouch, Alexandre Cabot, Marc-Olivier Czarnecki

In a Hilbert setting $H$ , we study the asymptotic behavior of the trajectories of nonautonomous evolution equations $x ˙ (t) + A_{t} (x (t)) ∋ 0$ , where for each $t \geq 0$ , $A_t:H\tto…