Accelerated proximal algorithms with a correction term for monotone inclusions
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Publication:832632
DOI10.1007/s00245-021-09819-yOpenAlexW3196593178MaRDI QIDQ832632
Publication date: 25 March 2022
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-021-09819-y
global rate of convergencecorrection terminertial-type algorithmaccelerated proximal algorithmfast first-order methodNesterov-type algorithmrelaxation factors
Related Items
Fast continuous dynamics inside the graph of subdifferentials of nonsmooth convex functions ⋮ Fast continuous dynamics inside the graph of maximally monotone operators ⋮ From Halpern's fixed-point iterations to Nesterov's accelerated interpretations for root-finding problems ⋮ Fast convergence of generalized forward-backward algorithms for structured monotone inclusions
Cites Work
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- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- Gradient methods for minimizing composite functions
- On the convergence of the iterates of the ``fast iterative shrinkage/thresholding algorithm
- An inertial forward-backward algorithm for monotone inclusions
- Functional analysis, Sobolev spaces and partial differential equations
- On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
- A dual algorithm for the solution of nonlinear variational problems via finite element approximation
- Produits infinis de resolvantes
- Monotone operator theory in convex optimization
- Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators
- Continuous Newton-like inertial dynamics for monotone inclusions
- Performance of first-order methods for smooth convex minimization: a novel approach
- ADMM for monotone operators: convergence analysis and rates
- Second Order Forward-Backward Dynamical Systems For Monotone Inclusion Problems
- First-Order Continuous Newton-like Systems for Monotone Inclusions
- A Continuous Dynamical Newton-Like Approach to Solving Monotone Inclusions
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
- Bregmanized Nonlocal Regularization for Deconvolution and Sparse Reconstruction
- Splitting Algorithms for the Sum of Two Nonlinear Operators
- On the Convergence of the Proximal Point Algorithm for Convex Minimization
- New Proximal Point Algorithms for Convex Minimization
- Monotone Operators and the Proximal Point Algorithm
- Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
- Variational Analysis
- Catalyst Acceleration for First-order Convex Optimization: from Theory to Practice
- Generalizing the Optimized Gradient Method for Smooth Convex Minimization
- Another Look at the Fast Iterative Shrinkage/Thresholding Algorithm (FISTA)
- Newton-like Inertial Dynamics and Proximal Algorithms Governed by Maximally Monotone Operators
- A Generalized Proximal Point Algorithm and Its Convergence Rate
- Convex analysis and monotone operator theory in Hilbert spaces