Strengthened splitting methods for computing resolvents
From MaRDI portal
Publication:2231047
DOI10.1007/s10589-021-00291-6OpenAlexW3194297413MaRDI QIDQ2231047
Rubén Campoy, Matthew K. Tam, Francisco J. Aragón Artacho
Publication date: 29 September 2021
Published in: Computational Optimization and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.01796
Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Monotone operators and generalizations (47H05) Mathematical programming (90Cxx)
Related Items
Projecting onto rectangular matrices with prescribed row and column sums ⋮ A direct proof of convergence of Davis-Yin splitting algorithm allowing larger stepsizes ⋮ A product space reformulation with reduced dimension for splitting algorithms ⋮ The Splitting Algorithms by Ryu, by Malitsky–Tam, and by Campoy Applied to Normal Cones of Linear Subspaces Converge Strongly to the Projection onto the Intersection ⋮ Resolvent splitting for sums of monotone operators with minimal lifting ⋮ On a new simple algorithm to compute the resolvents
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear total variation based noise removal algorithms
- A three-operator splitting scheme and its optimization applications
- A new projection method for finding the closest point in the intersection of convex sets
- A reflected forward-backward splitting method for monotone inclusions involving Lipschitzian operators
- Functional analysis, Sobolev spaces and partial differential equations
- Computing a nearest symmetric positive semidefinite matrix
- Monotone (nonlinear) operators in Hilbert space
- A modification of the Arrow-Hurwicz method for search of saddle points
- On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
- Symbolic computation with monotone operators
- Tight global linear convergence rate bounds for Douglas-Rachford splitting
- A first-order primal-dual algorithm for convex problems with applications to imaging
- Backward-forward-reflected-backward splitting for three operator monotone inclusions
- The Douglas-Rachford algorithm for convex and nonconvex feasibility problems
- Computing the resolvent of the sum of operators with application to best approximation problems
- Uniqueness of DRS as the 2 operator resolvent-splitting and impossibility of 3 operator resolvent-splitting
- Golden ratio algorithms for variational inequalities
- Generalized monotone operators and their averaged resolvents
- Optimal rates of linear convergence of the averaged alternating modified reflections method for two subspaces
- On the asymptotic behaviour of the Aragón Artacho-Campoy algorithm
- Iterative methods for computing the resolvent of the sum of a maximal monotone operator and composite operator with applications
- Projective splitting with forward steps only requires continuity
- Finding the forward-Douglas-Rachford-forward method
- Shadow Douglas-Rachford splitting for monotone inclusions
- On a decomposition formula for the resolvent operator of the sum of two set-valued maps with monotonicity assumptions
- On the Douglas-Rachford algorithm
- Computing the resolvent of the sum of maximally monotone operators with the averaged alternating modified reflections algorithm
- DOUGLAS–RACHFORD FEASIBILITY METHODS FOR MATRIX COMPLETION PROBLEMS
- Variational Analysis in Sobolev and BV Spaces
- Computing the resolvent of composite operators
- Decomposition through formalization in a product space
- Monotone Operators and the Proximal Point Algorithm
- Convergence Rates in Forward--Backward Splitting
- A simple closure condition for the normal cone intersection formula
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- A Forward-Backward Splitting Method for Monotone Inclusions Without Cocoercivity
- Deep unfolding of a proximal interior point method for image restoration
- On a decomposition formula for the proximal operator of the sum of two convex functions
- Adaptive Douglas--Rachford Splitting Algorithm for the Sum of Two Operators
- Proximal-gradient algorithms for fractional programming
- Generalized Solutions for the Sum of Two Maximally Monotone Operators
- Un problème d'approximation matricielle : quelle est la matrice bistochastique la plus proche d'une matrice donnée ?
- Convex analysis and monotone operator theory in Hilbert spaces
This page was built for publication: Strengthened splitting methods for computing resolvents
