A Proximal Point Analysis of the Preconditioned Alternating Direction Method of Multipliers

A Majorized ADMM with Indefinite Proximal Terms for Linearly Constrained Convex Composite Optimization

(2016) Min Li et al.   SIAM JOURNAL ON OPTIMIZATION

Preconditioned Douglas–Rachford Algorithms for TV- and TGV-Regularized Variational Imaging Problems

(2015) Kristian Bredies et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION

On the Global and Linear Convergence of the Generalized Alternating Direction Method of Multipliers

(2015) Wei Deng et al.   JOURNAL OF SCIENTIFIC COMPUTING

Preconditioned Douglas--Rachford Splitting Methods for Convex-concave Saddle-point Problems

(2015) Kristian Bredies et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

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

Iteration-Complexity of Block-Decomposition Algorithms and the Alternating Direction Method of Multipliers

(2013) Renato D. C. Monteiro et al.   SIAM JOURNAL ON OPTIMIZATION

A Splitting-Based Iterative Algorithm for Accelerated Statistical X-Ray CT Reconstruction

(2011) S. Ramani et al.   IEEE TRANSACTIONS ON MEDICAL IMAGING

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

(2010) Antonin Chambolle et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION

A Unified Primal-Dual Algorithm Framework Based on Bregman Iteration

(2010) Xiaoqun Zhang et al.   JOURNAL OF SCIENTIFIC COMPUTING

A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science

(2010) Ernie Esser et al.   SIAM Journal on Imaging Sciences

Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models

(2010) Chunlin Wu et al.   SIAM Journal on Imaging Sciences

The Split Bregman Method for L1-Regularized Problems

(2009) Tom Goldstein et al.   SIAM Journal on Imaging Sciences