A second-order adaptive Douglas-Rachford dynamic method for maximal \(\alpha\)-monotone operators
type: Item
instance of: scholarly article
title: A second-order adaptive Douglas-Rachford dynamic method for maximal \(\alpha\)-monotone operators
author: Ming Zhu
author: Rong Hu
author: Ya Ping Fang
published in: Journal of Fixed Point Theory and Applications
publication date: 2021-06-09T00:00:00Z
Mathematics Subject Classification ID: 47-XX
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 90C25
zbMATH DE Number: 7356815
zbMATH Keywords: adaptive Douglas-Rachford algorithm
zbMATH Keywords: second-order dynamic system
zbMATH Keywords: maximal \(\alpha\)-monotone operator
zbMATH Keywords: quasi-nonexpansive operator
MaRDI profile type: Publication
full work available at URL: s11784-021-00862-4
OpenAlex ID: W3138292776
cites work: Newton-like dynamics and forward-backward methods for structured monotone inclusions in Hilbert spaces
cites work: On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces
cites work: Q4889631
cites work: Q4495116
cites work: Fast optimization via inertial dynamics with closed-loop damping
cites work: Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity
cites work: Q4431258
cites work: Fast Proximal Methods via Time Scaling of Damped Inertial Dynamics
cites work: Rate of convergence of the Nesterov accelerated gradient method in the subcritical case α ≤ 3
cites work: THE HEAVY BALL WITH FRICTION METHOD, I. THE CONTINUOUS DYNAMICAL SYSTEM: GLOBAL EXPLORATION OF THE LOCAL MINIMA OF A REAL-VALUED FUNCTION BY ASYMPTOTIC ANALYSIS OF A DISSIPATIVE DYNAMICAL SYSTEM
cites work: A Continuous Dynamical Newton-Like Approach to Solving Monotone Inclusions
cites work: Convex analysis and monotone operator theory in Hilbert spaces
cites work: A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
cites work: Fifty years of maximal monotonicity
cites work: A dynamical system associated with the fixed points set of a nonexpansive operator
cites work: Inertial Douglas-Rachford splitting for monotone inclusion problems
cites work: Second order forward-backward dynamical systems for monotone inclusion problems
cites work: A Douglas--Rachford Type Primal-Dual Method for Solving Inclusions with Mixtures of Composite and Parallel-Sum Type Monotone Operators
cites work: A Monotone+Skew Splitting Model for Composite Monotone Inclusions in Duality
cites work: Forward-Douglas–Rachford splitting and forward-partial inverse method for solving monotone inclusions
cites work: From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images
cites work: A first-order primal-dual algorithm for convex problems with applications to imaging
cites work: Systems of Structured Monotone Inclusions: Duality, Algorithms, and Applications
cites work: Continuous dynamics related to monotone inclusions and non-smooth optimization problems
cites work: Shadow Douglas-Rachford splitting for monotone inclusions
cites work: Adaptive Douglas--Rachford Splitting Algorithm for the Sum of Two Operators
cites work: Linear convergence of the generalized Douglas-Rachford algorithm for feasibility problems
cites work: A three-operator splitting scheme and its optimization applications
cites work: On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
cites work: On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
cites work: Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties
cites work: Q3038523
cites work: A note on the Douglas-Rachford splitting method for optimization problems involving hypoconvex functions
cites work: Convergence Analysis of Douglas--Rachford Splitting Method for “Strongly + Weakly” Convex Programming
cites work: The Convergence Problem for Dissipative Autonomous Systems
cites work: On the convergence rate of Douglas-Rachford operator splitting method
cites work: On Fixed Points of Non-Expansive Piecewise Isometric Mappings
cites work: Splitting Algorithms for the Sum of Two Nonlinear Operators
cites work: Q3320132
cites work: Introductory lectures on convex optimization. A basic course.
cites work: Q3491338
cites work: Variational Analysis
cites work: A differential equation for modeling Nesterov's accelerated gradient method: theory and insights
cites work: On Weak Convergence of the Douglas–Rachford Method
cites work: Q4864293
cites work: Strong and Weak Convexity of Sets and Functions
cites work: A splitting algorithm for dual monotone inclusions involving cocoercive operators
cites work: A new primal-dual algorithm for minimizing the sum of three functions with a linear operator
cites work: A continuous dynamical splitting method for solving ‘strongly+weakly’ convex programming problems
DOI: 10.1007/S11784-021-00862-4
description: scientific article; zbMATH DE number 7356815