Accelerated dynamics with dry friction via time scaling and averaging of doubly nonlinear evolution equations
DOI10.1016/j.nahs.2023.101402zbMath1527.37101OpenAlexW4367365903MaRDI QIDQ6052174
Publication date: 21 September 2023
Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nahs.2023.101402
dry frictionaveragingtime scalingHessian driven dampingfast convex optimizationdamped inertial dynamicNesterov algorithms
Numerical mathematical programming methods (65K05) Convex programming (90C25) Numerical optimization and variational techniques (65K10) Management decision making, including multiple objectives (90B50) Time series analysis of dynamical systems (37M10) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Dynamical systems in optimization and economics (37N40)
Cites Work
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- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- Nonsmooth mechanics. Models, dynamics and control
- Fast convex optimization via inertial dynamics with Hessian driven damping
- On the convergence of the iterates of the ``fast iterative shrinkage/thresholding algorithm
- A nonsmooth approach for the modelling of a mechanical rotary drilling system with friction
- Non-convex superpotentials in the sense of F. H. Clarke and applications
- Conjugation and second-order properties of convex functions
- A second-order gradient-like dissipative dynamical system with Hessian-driven damping. Application to optimization and mechanics.
- A stability theory for second-order nonsmooth dynamical systems with application to friction problems.
- Rate of convergence of inertial gradient dynamics with time-dependent viscous damping coefficient
- Asymptotic stabilization of inertial gradient dynamics with time-dependent viscosity
- Understanding the acceleration phenomenon via high-resolution differential equations
- First-order optimization algorithms via inertial systems with Hessian driven damping
- First-order inertial algorithms involving dry friction damping
- An extension of the second order dynamical system that models Nesterov's convex gradient method
- Newton-like dynamics and forward-backward methods for structured monotone inclusions in Hilbert spaces
- Convergence rate of inertial forward-backward algorithm beyond Nesterov's rule
- Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity
- An inertial proximal algorithm with dry friction: finite convergence results
- The Rate of Convergence of Nesterov's Accelerated Forward-Backward Method is Actually Faster Than $1/k^2$
- A Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights
- Well-Posedness, Robustness, and Stability Analysis of a Set-Valued Controller for Lagrangian Systems
- A Variational Approach to Nonsmooth Dynamics
- Stability of Over-Relaxations for the Forward-Backward Algorithm, Application to FISTA
- On A Class Of Doubly Nonlinear Evolution Equations
- 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
- Convergence Rates of Inertial Forward-Backward Algorithms
- 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
- Finite Convergence of Proximal-Gradient Inertial Algorithms Combining Dry Friction with Hessian-Driven Damping
- Fast Proximal Methods via Time Scaling of Damped Inertial Dynamics
- Some methods of speeding up the convergence of iteration methods
