From error bounds to the complexity of first-order descent methods for convex functions

Majorization-Minimization Procedures and Convergence of SQP Methods for Semi-Algebraic and Tame Programs

(2016) Jérôme Bolte et al.   MATHEMATICS OF OPERATIONS RESEARCH

On damped second-order gradient systems

(2015) Pascal Bégout et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Splitting Methods with Variable Metric for Kurdyka–Łojasiewicz Functions and General Convergence Rates

(2014) Pierre Frankel et al.   JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

Global Hölderian Error Bound for Nondegenerate Polynomials

(2013) Hà Huy Vui   SIAM JOURNAL ON OPTIMIZATION

There is no variational characterization of the cycles in the method of periodic projections

(2011) J.-B. Baillon et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Global error bounds for piecewise convex polynomials

(2011) Guoyin Li   MATHEMATICAL PROGRAMMING

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

(2011) Hedy Attouch et al.   MATHEMATICAL PROGRAMMING

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

(2010) Hédy Attouch et al.   MATHEMATICS OF OPERATIONS RESEARCH

Characterizations of Łojasiewicz inequalities: Subgradient flows, talweg, convexity

(2010) Jérôme Bolte et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems

(2009) Amir Beck et al.   SIAM Journal on Imaging Sciences

An Introduction To Compressive Sampling

(2008) E.J. Candes et al.   IEEE SIGNAL PROCESSING MAGAZINE