A Regularized Semi-Smooth Newton Method with Projection Steps for Composite Convex Programs

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

Iterative Solution of Nonlinear Equations in Several Variables

E. I., J. M. Ortega, Werner C. Rheinboldt · Mathematics of Computation · 1971 · 4.5K citations

Natural Sciences, Mathematics, Differential Equations +9

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

A dual algorithm for the solution of nonlinear variational problems via finite element approximation

Daniel Gabay, Bertrand Mercier · Computers & Mathematics with Applications · 1976 · 2.6K citations · Full text

Computing, Computational Engineering, Mathematics +15

Splitting Algorithms for the Sum of Two Nonlinear Operators

Pierre‐Louis Lions, Bertrand Mercier · SIAM Journal on Numerical Analysis · 1979 · 2K citations

Computing, Computer Science, Algorithms +8