A weakly convergent fully inexact Douglas-Rachford method with relative error tolerance

On the numerical solution of heat conduction problems in two and three space variables

Jim Douglas, Jr. and H. H. Rachford, Jr · 1956

Earlier work this paper cites.

Weak convergence of the sequence of successive approximations for nonexpansive mappings

Zdzisław Opial · 1967

Earlier work this paper cites.

Splitting algorithms for the sum of two nonlinear operators

P.-L. Lions and B. Mercier · 1979

Earlier work this paper cites.

Application of the method of multipliers to variational inequalities

D. Gabay · 1983

Earlier work this paper cites.

Representing monotone operators by convex functions

Simon Fitzpatrick · 1988

Earlier work this paper cites.

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

Jonathan Eckstein and Dimitri P. Bertsekas · 1992

Earlier work this paper cites.

Enlargement of monotone operators with applications to variational inequalities

Regina S. Burachik, Alfredo N. Iusem, and B. F. Svaiter · 1997

Earlier work this paper cites.

Error bounds for proximal point subproblems and associated inexact proximal point algorithms

M. V. Solodov and B. F. Svaiter · 1998

Earlier work this paper cites.

A hybrid approximate extragradient-proximal point algorithm using the enlargement of a maximal monotone operator

M. V. Solodov and B. F. Svaiter · 1999

Earlier work this paper cites.

A hybrid projection-proximal point algorithm

M. V. Solodov and B. F. Svaiter · 1999

Cited alongside, same era.

An inexact hybrid generalized proximal point algorithm and some new results on the theory of Bregman functions

M. V. Solodov and B. F. Svaiter · 2000

Cited alongside, same era.

A family of enlargements of maximal monotone operators

B. F. Svaiter · 2000

Cited alongside, same era.

A unified framework for some inexact proximal point algorithms

M. V. Solodov and B. F. Svaiter · 2001

Cited alongside, same era.

A family of projective splitting methods for the sum of two maximal monotone operators

Jonathan Eckstein and B. F. Svaiter · 2008

Cited alongside, same era.

The Douglas-Rachford algorithm in the absence of convexity

Jonathan M. Borwein and Brailey Sims · 2011

Cited alongside, same era.

Recent results on Douglas-Rachford methods for combinatorial optimization problems

Francisco J. Aragón Artacho, Jonathan M. Borwein, and Matthew K. Tam · 2014

Later among the works it cites.

Alternating projections and Douglas-Rachford for sparse affine feasibility

Robert Hesse, D. Russell Luke, and Patrick Neumann · 2014

Later among the works it cites.

Activity identification and local linear convergence of Douglas-Rachford/ADMM under partial smoothness

Jingwei Liang, Jalal Fadili, Gabriel Peyré, and Russell Lukes · 2015

Later among the works it cites.

Local linear convergence of the ADMM/Douglas-Rachford algorithms without strong convexity and application to statistical imaging

Timo Aspelmeier, C. Charitha, and D. Russell Luke · 2016

Later among the works it cites.

Splitting methods in communication, imaging, science, and engineering

Roland Glowinski and Stanley J. Osher, editors · 2016

Later among the works it cites.