Second order splitting dynamics with vanishing damping for additively structured monotone inclusions
DOI10.1007/s10884-022-10160-3arXiv2201.01017OpenAlexW4226163738WikidataQ115382855 ScholiaQ115382855MaRDI QIDQ6196004
Radu Ioan Boţ, David Alexander Hulett
Publication date: 14 March 2024
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.01017
asymptotic stabilizationvanishing viscosityLyapunov analysismonotone inclusionssplitting systemdamped inertial dynamics
Numerical mathematical programming methods (65K05) Convex programming (90C25) Numerical optimization and variational techniques (65K10) Management decision making, including multiple objectives (90B50) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Dynamical systems in optimization and economics (37N40)
Related Items (2)
Cites Work
- Unnamed Item
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- Fast convex optimization via inertial dynamics with Hessian driven damping
- A second-order gradient-like dissipative dynamical system with Hessian-driven damping. Application to optimization and mechanics.
- Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators
- Continuous Newton-like inertial dynamics for monotone inclusions
- Convergence rate of inertial forward-backward algorithm beyond Nesterov's rule
- Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity
- Second Order Forward-Backward Dynamical Systems For Monotone Inclusion Problems
- Asymptotic behavior of second-order dissipative evolution equations combining potential with non-potential effects
- Dynamical systems and forward–backward algorithms associated with the sum of a convex subdifferential and a monotone cocoercive operator
- On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces
- 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
- Asymptotic for a second-order evolution equation with convex potential andvanishing damping term
- Rate of convergence of the Nesterov accelerated gradient method in the subcritical case α ≤ 3
- Newton-like Inertial Dynamics and Proximal Algorithms Governed by Maximally Monotone Operators
- Convex analysis and monotone operator theory in Hilbert spaces
- An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping
This page was built for publication: Second order splitting dynamics with vanishing damping for additively structured monotone inclusions