An Inertial Tseng’s Type Proximal Algorithm for Nonsmooth and Nonconvex Optimization Problems

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

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

iPiano: Inertial Proximal Algorithm for Nonconvex Optimization

(2014) Peter Ochs et al.   SIAM Journal on Imaging Sciences

A Dynamical Approach to an Inertial Forward-Backward Algorithm for Convex Minimization

(2014) Hédy Attouch et al.   SIAM JOURNAL ON OPTIMIZATION

Variable Metric Forward–Backward Algorithm for Minimizing the Sum of a Differentiable Function and a Convex Function

(2013) Emilie Chouzenoux et al.   JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

Proximal alternating linearized minimization for nonconvex and nonsmooth problems

(2013) Jérôme Bolte et al.   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

Primal-Dual Splitting Algorithm for Solving Inclusions with Mixtures of Composite, Lipschitzian, and Parallel-Sum Type Monotone Operators

(2011) Patrick L. Combettes et al.   Set-Valued and Variational Analysis

A Monotone+Skew Splitting Model for Composite Monotone Inclusions in Duality

(2011) Luis M. Briceño-Arias et al.   SIAM JOURNAL ON OPTIMIZATION

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

Asymptotics for Some Proximal-like Method Involving Inertia and Memory Aspects

(2010) Alexandre Cabot et al.   Set-Valued and Variational Analysis

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

Convergence of New Inertial Proximal Methods for DC Programming

(2008) Paul-Emile Maingé et al.   SIAM JOURNAL ON OPTIMIZATION

Convergence theorems for inertial KM-type algorithms

(2007) Paul-Emile Maingé   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS