On the convergence rate of Douglas–Rachford operator splitting method

[1]  Zdzisław Denkowski,et al.  Set-Valued Analysis , 2021 .

[2]  Bingsheng He,et al.  On the O(1/t) convergence rate of the projection and contraction methods for variational inequalities with Lipschitz continuous monotone operators , 2013, Computational Optimization and Applications.

[3]  Bingsheng He,et al.  On the O(1/n) Convergence Rate of the Douglas-Rachford Alternating Direction Method , 2012, SIAM J. Numer. Anal..

[4]  Heinz H. Bauschke,et al.  Convex Analysis and Monotone Operator Theory in Hilbert Spaces , 2011, CMS Books in Mathematics.

[5]  Marc Teboulle,et al.  Interior projection-like methods for monotone variational inequalities , 2005, Math. Program..

[6]  P. L. Combettes,et al.  Solving monotone inclusions via compositions of nonexpansive averaged operators , 2004 .

[7]  Bingsheng He,et al.  Self-adaptive operator splitting methods for monotone variational inequalities , 2003, Numerische Mathematik.

[8]  Masao Fukushima,et al.  The primal douglas-rachford splitting algorithm for a class of monotone mappings with application to the traffic equilibrium problem , 1996, Math. Program..

[9]  Dimitri P. Bertsekas,et al.  On the Douglas—Rachford splitting method and the proximal point algorithm for maximal monotone operators , 1992, Math. Program..

[10]  Osman Güer On the convergence of the proximal point algorithm for convex minimization , 1991 .

[11]  P. Lions,et al.  Splitting Algorithms for the Sum of Two Nonlinear Operators , 1979 .

[12]  R. Glowinski,et al.  Finite element approximation and iterative solution of a class of mildly non-linear elliptic equations , 1978 .

[13]  R. Rockafellar Monotone Operators and the Proximal Point Algorithm , 1976 .

[14]  G. Minty Monotone (nonlinear) operators in Hilbert space , 1962 .

[15]  J. Gillis,et al.  Matrix Iterative Analysis , 1961 .

[16]  Jonathan Eckstein Splitting methods for monotone operators with applications to parallel optimization , 1989 .

[17]  R. Glowinski,et al.  Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics , 1987 .

[18]  B. Mercier,et al.  A dual algorithm for the solution of nonlinear variational problems via finite element approximation , 1976 .

[19]  J. Moreau Proximité et dualité dans un espace hilbertien , 1965 .