Jérôme Bolte

Proximal alternating linearized minimization for nonconvex and nonsmooth problems

Jérôme Bolte, Shoham Sabach, Marc Teboulle · Mathematical Programming · 2013 · 1.6K citations

Numerical Analysis, Engineering, Variational Analysis +4

Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward–backward splitting, and regularized Gauss–Seidel methods

Hédy Attouch, Jérôme Bolte, B. F. Svaiter · Mathematical Programming · 2011 · 1.4K citations

Numerical Analysis, Proximal Algorithms, Descent Methods +3

Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality

Hédy Attouch, Jérôme Bolte, Patrick Redont et al. · Mathematics of Operations Research · 2010 · 1.2K citations · Full text

Numerical Analysis, Nonconvex Problems, Engineering +13

The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems

Jérôme Bolte, Aris Daniilidis, Adrian S. Lewis · SIAM Journal on Optimization · 2007 · 690 citations

Engineering, Variational Analysis, Bounded Trajectories +11

On the convergence of the proximal algorithm for nonsmooth functions involving analytic features

Hédy Attouch, Jérôme Bolte · Mathematical Programming · 2007 · 590 citations · Full text

Mathematical Programming, Numerical Analysis, Engineering +9