Concepedia
Mathematical Programming · 1998 · 147 citations · 32 references
Natural SciencesComputer ScienceMathematicsAlgorithmsOptimizationConstrained OptimizationConvex AnalysisConvex OptimizationGradient-based OptimizationNonlinear ProgrammingOptimization TheoryAlternating Direction Method Of MultipliersConvex Relaxations
32
The Numerical Solution of Parabolic and Elliptic Differential Equations
D.W. Peaceman, H.H. Rachford · Journal of the Society for Industrial and Applied Mathematics · 1955 · 3.3K citations
Natural Sciences, Computational Engineering, Physics +17
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
Multiplier and gradient methods
Magnus R. Hestenes · Journal of Optimization Theory and Applications · 1969 · 2.5K citations
Natural Sciences, Computer Science, Mathematics +8
Splitting Algorithms for the Sum of Two Nonlinear Operators
Pierre‐Louis Lions, Bertrand Mercier · SIAM Journal on Numerical Analysis · 1979 · 2K citations