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The alternating direction method of multipliers (ADMM) has been widely used for solving structured convex optimization problems.
On the numerical solution of the heat conduction problem in 2 and 3 space variables
J. Douglas and H. H. Rachford · 1956
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Splitting algorithms for the sum of two nonlinear operators
P. L. Lions and B. Mercier · 1979
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Applications of the method of multipliers to variational inequalities
D. Gabay · 1983
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Parallel and distributed computation: numerical methods
D. P. Bertsekas and J. N. Tsitsiklis · 1989
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An alternating direction method for linear programming
J. Eckstein and D. P. Bertsekas · 1990
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On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
J. Eckstein and D. P. Bertsekas · 1992
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Error bounds and the convergence analysis of matrix splitting algorithms for the affine variational inequality problem
Z.-Q. Luo and P. Tseng · 1992
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The Mosek optimization tools, ver 6., 2009
Mosek ApS Inc · 2009
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Optimal real-time pricing algorithm based on utility maximization for smart grid
P. Samadi, A. Mohsenian-Rad, R. Schober, V. W.S. Wong, and J. Jatskevich · 2010
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Distributed optimization and statistical learning via the alternating direction method of multipliers
S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein · 2011
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Alternating direction algorithms for ℓ 1 \ell_{1} problems in compressive sensing
J. Yang and Y. Zhang · 2011
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On the global and linear convergence of the generalized alternating direction method of multipliers
W. Deng and W. Yin · 2012
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Augmented lagrangian and alternating direction methods for convex optimization: A tutorial and some illustrative computational results
J. Eckstein · 2012
Cited alongside, same era.
Fast multiple-splitting algorithms for convex optimization
D. Goldfarb and S. Ma · 2012
Cited alongside, same era.
A note on the alternating direction method of multipliers
D. Han and X. Yuan · 2012
Cited alongside, same era.
Alternating direction method with Gaussian back substitution for separable convex programming
B. He, M. Tao, and X. Yuan · 2012
Cited alongside, same era.
On nonergodic convergence rate of Douglas-Rachford alternating direction method of multipliers
B. He and X. Yuan · 2012
Cited alongside, same era.
On the O ( 1 / n ) {O}(1/n) convergence rate of Douglas-Rachford alternating direction method
Iteration-complexity of block-decomposition algorithms and the alternating direction method of multipliers
R. D. C. Monteiro and B. F. Svaiter · 2013
Later among the works it cites.
Solving multiple-block separable convex minimization problems using two-block alternating direction method of multipliers
X. Wang, M. Hong, S. Ma, and Z.-Q. Luo · 2013
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The direct extension of ADMM for three-block separable convex minimization models is convergent when one function is strongly convex
X. Cai, D. Han, and X. Yuan · 2014
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The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent
C. Chen, B. He, Y. Ye, and X. Yuan · 2014
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Parallel multi-block ADMM with o ( 1 / k ) o(1/k) convergence
W. Deng, M. Lai, Z. Peng, and W. Yin · 2014
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B. He and X. Yuan · 2012
Cited alongside, same era.
On the linear convergence of the alternating direction method of multipliers
M. Hong and Z. Luo · 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.
On the convergence analysis of the alternating direction method of multipliers with three blocks
C. Chen, Y. Shen, and Y. You · 2013
Cited alongside, same era.
Local linear convergence of the alternating direction method of multipliers for quadratic programs
D. Han and X. Yuan · 2013
Cited alongside, same era.
On full Jacobian decomposition of the augmented Lagrangian method for separable convex programming
B. He, L. Hou, and X. Yuan · 2013
Cited alongside, same era.
Convergence rate and iteration complexity on the alternating direction method of multipliers with a substitution procedure for separable convex programming
B. He, M. Tao, and X. Yuan · 2013
Cited alongside, same era.
T. Lin, S. Ma, and S. Zhang · 2014
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A three-operator splitting scheme and its optimization applications
D. Davis and W. Yin · 2015
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A convergent 3-block semi-proximal ADMM for convex minimization problems with one strongly convex block
M. Li, D. Sun, and K.-C. Toh · 2015
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Global convergence of unmodified 3-block ADMM for a class of convex minimization problems
T. Lin, S. Ma, and S. Zhang · 2015
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T. Lin, S. Ma, and S. Zhang · 2015
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A convergent 3-block semiproximal alternating direction method of multipliers for conic programming with 4-type constraints
D. Sun, K.-C. Toh, and L. Yang · 2015
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On the expected convergence of randomly permuted ADMM
R. Sun, Z.-Q. Luo, and Y. Ye · 2015
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