Fetching the paper…
Reading the bibliography…
Recently, several convergence rate results for Douglas-Rachford splitting and the alternating direction method of multipliers (ADMM) have been presented in the literature.
The numerical solution of parabolic and elliptic differential equations
D. W. Peaceman and H. H. Rachford · 1955
Earlier work this paper cites.
On the numerical solution of heat conduction problems in two and three space variables
J. Douglas and H. H. Rachford · 1956
Earlier work this paper cites.
Sur l’approximation, par éléments finis d’ordre un, et la résolution, par pénalisation-dualité d’une classe de problémes de dirichlet non linéaires
R. Glowinski and A. Marroco · 1975
Earlier work this paper cites.
A dual algorithm for the solution of nonlinear variational problems via finite element approximation
D. Gabay and B. Mercier · 1976
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.
Applications of the method of multipliers to variational inequalities
D. Gabay · 1983
Earlier work this paper cites.
Splitting methods for monotone operators with applications to parallel optimization
J. Eckstein · 1989
Earlier work this paper cites.
Design of feedback control systems for unstable plants with saturating actuators
P. Kapasouris, M. Athans, and G. Stein · 1990
Earlier work this paper cites.
On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
J. Eckstein and D. P. Bertsekas · 1992
Earlier work this paper cites.
Regression shrinkage and selection via the lasso
R Tibshirani · 1996
Earlier work this paper cites.
Nonlinear control of constrained linear systems via predictive reference management
A. Bemporad, A. Casavola, and E. Mosca · 1997
Earlier work this paper cites.
Analysis of the inexact Uzawa algorithm for saddle point problems
J. H. Bramble, J. E. Pasciak, and A. T. Vassilev · 1997
Earlier work this paper cites.
Variational Analysis
R. T. Rockafellar and R. J-B. Wets · 1998
Earlier work this paper cites.
Preconditioning techniques for large linear systems: A survey
M. Benzi · 2002
Earlier work this paper cites.
Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
E. J. Candes, J. Romberg, and T. Tao · 2006
Earlier work this paper cites.
Nonlinear inexact Uzawa algorithms for linear and nonlinear saddle-point problems
Q. Hu and J. Zou · 2006
Earlier work this paper cites.
Sparse MRI: The application of compressed sensing for rapid MR imaging
M. Lustig, D. Donoho, and J. M. Pauly · 2007
Cited alongside, same era.
Enhancing sparsity by reweighted l1 minimization
E. J. Candes, M. B. Wakin, and S. Boyd · 2008
Cited alongside, same era.
The elements of statistical learning: data mining, inference and prediction
T. Hastie, R. Tibshirani, and J. Friedman · 2009
Cited alongside, same era.
Model Predictive Control: Theory and Design
J. B. Rawlings and D. Q. Mayne · 2009
Cited alongside, same era.
Convex Analysis and Monotone Operator Theory in Hilbert Spaces
H. H. Bauschke and P. L. Combettes · 2011
Cited alongside, same era.
Distributed optimization and statistical learning via the alternating direction method of multipliers
S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein · 2011
Convergence rate analysis of several splitting schemes
D. Davis and W. Yin · 2014
Closest in time.
Faster convergence rates of relaxed Peaceman-Rachford and ADMM under regularity assumptions
D. Davis and W. Yin · 2014
Closest in time.
Diagonal scaling in Douglas-Rachford splitting and ADMM
P. Giselsson and S. Boyd · 2014
Closest in time.
Alternating projections and Douglas-Rachford for sparse affine feasibility
R. Hesse, D. R. Luke, and P. Neumann · 2014
Closest in time.
Proximal algorithms
N. Parikh and S. Boyd · 2014
Closest in time.
Douglas-Rachford splitting: Complexity estimates and accelerated variants
P. Patrinos, L. Stella, and A. Bemporad · 2014
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
A first-order primal-dual algorithm for convex problems with applications to imaging
A. Chambolle and T. Pock · 2011
Cited alongside, same era.
Proximal splitting methods in signal processing
P. L. Combettes and J-C. Pesquet · 2011
Cited alongside, same era.
Diagonal preconditioning for first order primal-dual algorithms in convex optimization
T. Pock and A. Chambolle · 2011
Cited alongside, same era.
On the global and linear convergence of the generalized alternating direction method of multipliers
W. Deng and W. Yin · 2012
Cited alongside, same era.
On the o ( 1 / n ) o(1/n) convergence rate of the Douglas-Rachford alternating direction method
B. He and X. Yuan · 2012
Cited alongside, same era.
Local linear convergence of the alternating direction method of multipliers on quadratic or linear programs
D. Boley · 2013
Cited alongside, same era.
Closest in time.
Linear convergence of the Douglas-Rachford method for two closed sets
H. M. Phan · 2014
Closest in time.
ADMM for convex quadratic programs: Linear convergence and infeasibility detection
A. Raghunathan and S. Di Cairano · 2014
Closest in time.
On the linear convergence of the ADMM in decentralized consensus optimization
W. Shi, Q. Ling, K. Yuan, G. Wu, and W. Yin · 2014
Closest in time.
Preconditioned Douglas–Rachford splitting methods for convex-concave saddle-point problems
K. Bredies and H. Sun · 2015
Closest in time.
Optimal parameter selection for the alternating direction method of multipliers (ADMM): Quadratic problems
E. Ghadimi, A. Teixeira, I. Shames, and M. Johansson · 2015
Closest in time.
Tight global linear convergence rate bounds for Douglas-Rachford splitting
P. Giselsson · 2015
Closest in time.
Tight linear convergence rate bounds for Douglas-Rachford splitting and ADMM
P. Giselsson · 2015
Closest in time.
Metric selection in fast dual forward-backward splitting
P. Giselsson and S. Boyd · 2015
Closest in time.
A general analysis of the convergence of ADMM
R. Nishihara, L. Lessard, B. Recht, A. Packard, and M. Jordan · 2015
Closest in time.
Line search for averaged operator iteration
P. Giselsson, M. Fält, and S. Boyd · 2016
Closest in time.