The primal douglas-rachford splitting algorithm for a class of monotone mappings with application to the traffic equilibrium problem

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

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

Traffic Equilibrium and Variational Inequalities

Stella Dafermos · Transportation Science · 1980 · 935 citations

Engineering, Mathematics, Transportation Planning +17