Second-order dynamical systems with penalty terms associated to monotone inclusions
From MaRDI portal
Publication:5375967
DOI10.1142/S0219530518500021zbMath1395.34069arXiv1701.05246OpenAlexW2580562385MaRDI QIDQ5375967
Ernö Robert Csetnek, Radu Ioan Boţ, Szilárd Csaba László
Publication date: 17 September 2018
Published in: Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.05246
Convex programming (90C25) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Evolution inclusions (34G25)
Related Items
Fast convergence of dynamical ADMM via time scaling of damped inertial dynamics ⋮ Improved convergence rates and trajectory convergence for primal-dual dynamical systems with vanishing damping ⋮ On the convergence of a class of inertial dynamical systems with Tikhonov regularization
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Forward-backward penalty scheme for constrained convex minimization without inf-compactness
- Coupling the gradient method with a general exterior penalization scheme for convex minimization
- Backward penalty schemes for monotone inclusion problems
- A dynamical system associated with the fixed points set of a nonexpansive operator
- An inertial proximal-gradient penalization scheme for constrained convex optimization problems
- Asymptotic behavior of gradient-like dynamical systems involving inertia and multiscale aspects
- Forward-backward and Tseng's type penalty schemes for monotone inclusion problems
- Approaching the solving of constrained variational inequalities via penalty term-based dynamical systems
- A second-order gradient-like dissipative dynamical system with Hessian-driven damping. Application to optimization and mechanics.
- Introductory lectures on convex optimization. A basic course.
- Newton-like dynamics and forward-backward methods for structured monotone inclusions in Hilbert spaces
- Asymptotic behavior of coupled dynamical systems with multiscale aspects
- Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity
- From Hahn--Banach to monotonicity
- Second Order Forward-Backward Dynamical Systems For Monotone Inclusion Problems
- A Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights
- Prox-Penalization and Splitting Methods for Constrained Variational Problems
- Coupling Forward-Backward with Penalty Schemes and Parallel Splitting for Constrained Variational Inequalities
- Dynamical systems and forward–backward algorithms associated with the sum of a convex subdifferential and a monotone cocoercive operator
- Asymptotic behavior of nonautonomous monotone and subgradient evolution equations
- Second-order dynamical systems associated to variational inequalities
- Convex analysis and monotone operator theory in Hilbert spaces
