A Primal–Dual Splitting Method for Convex Optimization Involving Lipschitzian, Proximable and Linear Composite Terms

A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging

Antonin Chambolle, Thomas Pock · Journal of Mathematical Imaging and Vision · 2010 · 4.4K citations

Natural Sciences, Computer Science, Mathematics +13

The Split Bregman Method for L1-Regularized Problems

Tom Goldstein, Stanley Osher · SIAM Journal on Imaging Sciences · 2009 · 4.3K citations

Natural Sciences, Mathematics, Radiology +17

On the Douglas—Rachford splitting method and the proximal point algorithm for maximal monotone operators

Jonathan Eckstein, Dimitri P. Bertsekas · Mathematical Programming · 1992 · 2.9K citations · Full text

Computing, Computer Science, Algorithms +8

Signal Recovery by Proximal Forward-Backward Splitting

Patrick L. Combettes, Valérie R. Wajs · Multiscale Modeling and Simulation · 2005 · 2.7K citations

Natural Sciences, Computer Science, Computational Geometry +16

Splitting Algorithms for the Sum of Two Nonlinear Operators

Pierre‐Louis Lions, Bertrand Mercier · SIAM Journal on Numerical Analysis · 1979 · 2K citations

Computing, Computer Science, Algorithms +8