Continuous Newton-like inertial dynamics for monotone inclusions
type: Item
instance of: scholarly article
title: Continuous Newton-like inertial dynamics for monotone inclusions
zbMATH Open document ID: 1477.37101
author: Szilárd László
author: Hédy Attouch
published in: Set-Valued and Variational Analysis
publication date: 2021-08-19T00:00:00Z
Mathematics Subject Classification ID: 37N40
Mathematics Subject Classification ID: 46N10
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 90B50
Mathematics Subject Classification ID: 90C25
zbMATH DE Number: 7383620
zbMATH Keywords: damped inertial dynamics
zbMATH Keywords: Hessian damping
zbMATH Keywords: maximally monotone operators
zbMATH Keywords: Newton method
zbMATH Keywords: vanishing viscosity
zbMATH Keywords: Yosida regularization
MaRDI profile type: Publication
full work available at URL: s11228-020-00564-y
OpenAlex ID: W3087406501
cites work: Newton-like dynamics and forward-backward methods for structured monotone inclusions in Hilbert spaces
cites work: An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping
cites work: A second-order gradient-like dissipative dynamical system with Hessian-driven damping. Application to optimization and mechanics.
cites work: Convergence rate of inertial forward-backward algorithm beyond Nesterov's rule
cites work: Convergence of a relaxed inertial proximal algorithm for maximally monotone operators
cites work: Convergence Rates of Inertial Forward-Backward Algorithms
cites work: Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity
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: Newton-like Inertial Dynamics and Proximal Algorithms Governed by Maximally Monotone Operators
cites work: Asymptotic behavior of second-order dissipative evolution equations combining potential with non-potential effects
cites work: A second-order differential system with Hessian-driven damping; application to non-elastic shock laws
cites work: A dynamic approach to a proximal-Newton method for monotone inclusions in Hilbert spaces, with complexity \(\mathcal{O}(1/n^2)\)
cites work: Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators
cites work: The rate of convergence of Nesterov's accelerated forward-backward method is actually faster than \(1/k^2\)
cites work: Fast convex optimization via inertial dynamics with Hessian driven damping
cites work: Global convergence of a closed-loop regularized Newton method for solving monotone inclusions in Hilbert spaces
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: Second order forward-backward dynamical systems for monotone inclusion problems
cites work: A second-order dynamical approach with variable damping to nonconvex smooth minimization
cites work: On the convergence of the iterates of the ``fast iterative shrinkage/thresholding algorithm''
cites work: Q3997729
cites work: Convergence rates for an inertial algorithm of gradient type associated to a smooth non-convex minimization
cites work: Asymptotic for a second-order evolution equation with convex potential andvanishing damping term
cites work: Q3320132
cites work: Some methods of speeding up the convergence of iteration methods
cites work: A differential equation for modeling Nesterov's accelerated gradient method: theory and insights
DOI: 10.1007/S11228-020-00564-Y
description: scientific article; zbMATH DE number 7383620