A simplified view of first order methods for optimization

Nonconvex Lagrangian-Based Optimization: Monitoring Schemes and Global Convergence

(2018) Jérôme Bolte et al.   MATHEMATICS OF OPERATIONS RESEARCH

Error Bounds, Quadratic Growth, and Linear Convergence of Proximal Methods

(2018) Dmitriy Drusvyatskiy et al.   MATHEMATICS OF OPERATIONS RESEARCH

A Descent Lemma Beyond Lipschitz Gradient Continuity: First-Order Methods Revisited and Applications

(2017) Heinz H. Bauschke et al.   MATHEMATICS OF OPERATIONS RESEARCH

A proximal method for composite minimization

(2015) A. S. Lewis et al.   MATHEMATICAL PROGRAMMING

Rate of Convergence Analysis of Decomposition Methods Based on the Proximal Method of Multipliers for Convex Minimization

(2014) Ron Shefi et al.   SIAM JOURNAL ON OPTIMIZATION

Proximal alternating linearized minimization for nonconvex and nonsmooth problems

(2013) Jérôme Bolte et al.   MATHEMATICAL PROGRAMMING

A Block Coordinate Descent Method for Regularized Multiconvex Optimization with Applications to Nonnegative Tensor Factorization and Completion

(2013) Yangyang Xu et al.   SIAM Journal on Imaging Sciences

Smoothing and First Order Methods: A Unified Framework

(2012) Amir Beck et al.   SIAM JOURNAL ON OPTIMIZATION

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

Approximation accuracy, gradient methods, and error bound for structured convex optimization

(2010) Paul Tseng   MATHEMATICAL PROGRAMMING

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