33 citations · 38 across the 5 of their papers we have counts for
6 papers
Accelerated Gradient Methods via Inertial Systems with Hessian-driven Damping
Zepeng Wang, Juan Peypouquet
We analyze the convergence rate of a family of inertial algorithms, which can be obtained by discretization of an inertial system with Hessian-driven damping. We recover a converge…
Forward-backward approximation of evolution equations in finite and infinite horizon
Andres Contreras, Juan Peypouquet
This research is concerned with evolution equations and their forward-backward discretizations. Our first contribution is an estimation for the distance between iterates of sequenc…
Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators
Hedy Attouch, Juan Peypouquet
We study the behavior of the trajectories of a second-order differential equation with vanishing damping, governed by the Yosida regularization of a maximally monotone operator wit…
Fast Convergence of an Inertial Gradient-like System with Vanishing Viscosity
Hedy Attouch, Juan Peypouquet, Patrick Redont
In a real Hilbert space , we study the fast convergence properties as of the trajectories of the second-order evolution equation $$ \ddot{x}(t) + \frac…
Evolution equations for maximal monotone operators: asymptotic analysis in continuous and discrete time
Juan Peypouquet, Sylvain Sorin
This survey is devoted to the asymptotic behavior of solutions of evolution equations generated by maximal monotone operators in Hilbert spaces. The emphasis is in the comparison o…
Asymptotic almost-equivalence of abstract evolution systems
Felipe Alvarez, Juan Peypouquet
We study the asymptotic behavior of almost-orbits of abstract evolution systems in Banach spaces with or without a Lipschitz assumption. In particular, we establish convergence, co…