A dual method for minimizing a nonsmooth objective over one smooth inequality constraint

A first order method for finding minimal norm-like solutions of convex optimization problems

(2013) Amir Beck et al.   MATHEMATICAL PROGRAMMING

Gradient methods for minimizing composite functions

(2012) Yu. Nesterov   MATHEMATICAL PROGRAMMING

Smoothing and First Order Methods: A Unified Framework

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

NESTA: A Fast and Accurate First-Order Method for Sparse Recovery

(2011) Stephen Becker et al.   SIAM Journal on Imaging Sciences

Alternating Direction Algorithms for $\ell_1$-Problems in Compressive Sensing

(2011) Junfeng Yang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

The CoMirror algorithm for solving nonsmooth constrained convex problems

(2010) Amir Beck et al.   OPERATIONS RESEARCH LETTERS

A Moving Balls Approximation Method for a Class of Smooth Constrained Minimization Problems

(2010) Alfred Auslender et al.   SIAM JOURNAL ON OPTIMIZATION

Exact Matrix Completion via Convex Optimization

(2009) Emmanuel J. Candès et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems

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

Probing the Pareto Frontier for Basis Pursuit Solutions

(2008) Ewout van den Berg et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING