Jérôme Bolte

H.H. Bauschke, Jérôme Bolte, and Marc Teboulle, “A Descent Lemma Beyond Lipschitz Gradient Continuity: First-Order Methods Revisited and Applications”, Mathematics of Operations Research, vol. 42, n. 2, May 2017, pp. 330–348.

Jérôme Bolte, and Edouard Pauwels, “Majorization-minimization procedures and convergence of SQP methods for semi-algebraic and tame programs”, Mathematics of Operations Research, January 2016, pp. 442–465.

H.H. Bauschke, Jérôme Bolte, and Marc Teboulle, “Lemma beyond Lipschitz gradient continuity: first-order methods revisited and applications”, Mathematics of Operations Research, vol. 42, n. 2, 2016, pp. 330–348.

Jérôme Bolte, Stéphane Gaubert, and Guillaume Vigeral, “Definable zero-sum stochastic games, Mathematics of Operations Research”, Mathematics of Operations Research, vol. 40, n. 1, February 2015, pp. 171–191.

Pascal Bégout, Jérôme Bolte, and Mohamed Ali Jendoubi, “On damped second-order gradient systems”, Journal of Differential Equations, vol. 259, n. 7-8, 2015, pp. 3115–3143.

Jérôme Bolte, Shoham Sabach, and Marc Teboulle, “Proximal alternating linearized method for nonconvex and nonsmooth problems”, Mathematical Programming, vol. 146, August 2014, pp. 459–494.

Hédy Attouch, Jérôme Bolte, and Benar Fux Svaiter, “Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel method”, Mathematical Programming, vol. 137, n. 1-2, 2013, pp. 91–129.

Felipe Alvarez, Jérôme Bolte, Frédéric Bonnans, and Francisco José Silva - Àlvarez, “Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems”, Mathematical Programming, vol. 135, n. 1-2, October 2012, pp. 473–507.

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.