Jérôme Bolte

Jérôme Bolte, Aris Daniilidis, and Adrian Lewis, “Generic Optimality Conditions for Semialgebraic Convex Programs”, Mathematics of Operations Research, vol. 36, n. 1, February 2011, pp. 55–70.

Hédy Attouch, Jérôme Bolte, Patrick Redont, and Antoine Soubeyran, “Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz Inequality”, Mathematics of Operations Research, vol. 35, n. 2, May 2010, pp. 438–457.

Jérôme Bolte, Aris Daniilidis, Olivier Ley, and Laurent Mazet, “Characterizations of Lojasiewicz Inequalities and Applications”, Transactions of the American Mathematical Society, vol. 362, n. 6, 2010, pp. 3319–3363.

Jérôme Bolte, Aris Daniilidis, and Adrian Lewis, “Tame Functions are Semismooth”, Mathematical Programming, vol. 117, n. 1-2, 2009, pp. 5–19.

Hédy Attouch, and Jérôme Bolte, “On the Convergence of the Proximal Algorithm for Nonsmooth Functions Involving Analytic Features”, Mathematical Programming, vol. 116, n. 1-2, 2009, pp. 5–16.

Hédy Attouch, Jérôme Bolte, Patrick Redont, and Antoine Soubeyran, “Alternating Proximal Algorithms for Weakly Coupled Minimization Problems. Applications to Dynamical Games and PDE’s”, Journal of Convex Analysis, vol. 15, n. 3, 2008, pp. 485–506.

Felipe Alvarez, Jérôme Bolte, and J. Munier, “A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds”, Foundations of Computational Mathematics, vol. 8, n. 2, 2008, pp. 197–226.

Jérôme Bolte, Aris Daniilidis, Adrian Lewis, and Masahiro Shiota, “Clarke Subgradients of Stratifiable Functions”, SIAM Journal on Optimization, vol. 18, n. 2, 2007, pp. 556–572.

Jérôme Bolte, Aris Daniilidis, and Adrian Lewis, “The Lojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems”, SIAM Journal on Optimization, vol. 17, n. 4, 2007, pp. 1205–1223.

Jérôme Bolte, Aris Daniilidis, and Adrian Lewis, “A Nonsmooth Morse-Sard Theorem for Subanalytic Functions”, Journal of Mathematical Analysis and Applications, vol. 321, n. 2, September 2006, pp. 729–740.

Jérôme Bolte, Aris Daniilidis, Adrian Lewis, and Masahiro Shiota, “Clarke Critical Values of Subanalytic Lipschitz Continuous Functions”, Annales Polonici Mathematici, vol. 87, 2005, pp. 13–25.

Hédy Attouch, Jérôme Bolte, Patrick Redont, and Marc Teboulle, “A Singular Riemannian Barrier Method for Constrained Minimization”, Optimization, vol. 53, n. 5-6, 2004, pp. 435–454.

Felipe Alvarez, Jérôme Bolte, and Olivier Brahic, “Hessian Riemannian Gradient Flows in Convex Programming”, SIAM Journal on Control and Optimization, vol. 43, n. 2, 2004, pp. 477–501.

Jérôme Bolte, “Continuous Gradient Projection Method in Hilbert Spaces”, Journal of Optimization Theory and Applications, vol. 119, n. 2, November 2003, pp. 235–259.

Jérôme Bolte, and Marc Teboulle, “Barrier Operators and Associated Gradient-Like Dynamical Systems for Constrained Minimization Problems”, SIAM Journal on Control and Optimization, vol. 42, n. 4, 2003, pp. 1266–1292.

Hédy Attouch, Jérôme Bolte, and Patrick Redont, “Optimizing Properties of an Inertial Dynamical System with Geometric Damping. Link with Proximal Methods”, Control and Cybernetics, vol. 31, n. 3, 2002, pp. 643–657.

Felipe Alvarez, Hédy Attouch, Jérôme Bolte, and Patrick Redont, “A Second-Order Gradient-Like Dissipative Dynamical System with Hessian-Driven Damping. Application to Optimization and Mechanics”, Journal de Mathématiques Pures et Appliquées, vol. 81, n. 8, 2002, pp. 747–779.