A proximal alternating direction method of multipliers for a minimization problem with nonconvex constraints

Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers

Stephen Boyd · Foundations and Trends® in Machine Learning · 2011 · 16K citations

Computing, Computer Science, Machine Learning +13

Monotone Operators and the Proximal Point Algorithm

R. T. Rockafellar · SIAM Journal on Control and Optimization · 1976 · 3.6K citations

Natural Sciences, Computer Science, Algorithms +12

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

Numerical Methods for Nonlinear Variational Problems

Roland Glowinski, J. Tinsley Oden · Journal of Applied Mechanics · 1985 · 1.6K citations · Full text

Natural Sciences, Mathematics, Physics +14

A new inexact alternating directions method for monotone variational inequalities

Bingsheng He, Li‐Zhi Liao, Deren Han et al. · Mathematical Programming · 2002 · 430 citations

Natural Sciences, Mathematics, Applied Mechanics +12