A note on the Douglas-Rachford splitting method for optimization problems involving hypoconvex functions
From MaRDI portal
Publication:1630270
DOI10.1007/s10898-018-0660-zzbMath1412.90107OpenAlexW2800547241WikidataQ129891950 ScholiaQ129891950MaRDI QIDQ1630270
Publication date: 7 December 2018
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-018-0660-z
Related Items
A survey on some recent developments of alternating direction method of multipliers ⋮ On compositions of special cases of Lipschitz continuous operators ⋮ Asymptotic behaviour of a nonautonomous evolution equation governed by a quasi-nonexpansive operator ⋮ A fast proximal iteratively reweighted nuclear norm algorithm for nonconvex low-rank matrix minimization problems ⋮ General inertial proximal gradient method for a class of nonconvex nonsmooth optimization problems ⋮ A continuous dynamical splitting method for solving ‘strongly+weakly’ convex programming problems ⋮ An extrapolated proximal iteratively reweighted method for nonconvex composite optimization problems ⋮ Inertial proximal gradient methods with Bregman regularization for a class of nonconvex optimization problems ⋮ A second-order adaptive Douglas-Rachford dynamic method for maximal \(\alpha\)-monotone operators ⋮ Adaptive Douglas--Rachford Splitting Algorithm for the Sum of Two Operators ⋮ A unified Douglas-Rachford algorithm for generalized DC programming
Cites Work
- Unnamed Item
- Unnamed Item
- Semiconcave functions, Hamilton-Jacobi equations, and optimal control
- On the convergence rate of Douglas-Rachford operator splitting method
- On Chebyshev functions and Klee functions
- On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
- Quelques propriétés des opérateurs angle-bornes et n-cycliquement monotones
- The primal Douglas-Rachford splitting algorithm for a class of monotone mappings with application to the traffic equilibrium problem
- Generalized Krasnoselskii-Mann-type iterations for nonexpansive mappings in Hilbert spaces
- Stadium Norm and Douglas-Rachford Splitting: A New Approach to Road Design Optimization
- Linear Convergence of Proximal Gradient Algorithm with Extrapolation for a Class of Nonconvex Nonsmooth Minimization Problems
- On the Range of the Douglas–Rachford Operator
- On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
- Evolution equations with lack of convexity
- Characterizations of Łojasiewicz inequalities: Subgradient flows, talweg, convexity
- Splitting Algorithms for the Sum of Two Nonlinear Operators
- Variational Analysis
- Convergence Analysis of Douglas--Rachford Splitting Method for “Strongly + Weakly” Convex Programming
- Convex analysis and monotone operator theory in Hilbert spaces