Convergence of damped inertial dynamics governed by regularized maximally monotone operators

DOI10.1016/j.jde.2018.02.017zbMath1406.37068OpenAlexW2768527043WikidataQ130200190 ScholiaQ130200190MaRDI QIDQ1708130

Hedy Attouch, Alexandre Cabot

Publication date: 4 April 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.02.017

zbMATH Keywords

monotone operatorasymptotic stabilizationLyapunov analysisYosida regularizationdamped inertial dynamicstime-dependent viscosity

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Numerical optimization and variational techniques (65K10) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Dynamical systems in numerical analysis (37N30)

Related Items (13)

Fast inertial dynamic algorithm with smoothing method for nonsmooth convex optimization ⋮ Fast continuous dynamics inside the graph of subdifferentials of nonsmooth convex functions ⋮ On inexact relative-error hybrid proximal extragradient, forward-backward and Tseng's modified forward-backward methods with inertial effects ⋮ Unnamed Item ⋮ Convergence rate of a relaxed inertial proximal algorithm for convex minimization ⋮ A fast continuous time approach for non-smooth convex optimization using Tikhonov regularization technique ⋮ Inertial proximal point algorithms for solving a class of split feasibility problems ⋮ Convergence of a relaxed inertial proximal algorithm for maximally monotone operators ⋮ Unnamed Item ⋮ Fast Proximal Methods via Time Scaling of Damped Inertial Dynamics ⋮ A control-theoretic perspective on optimal high-order optimization ⋮ Convergence of a relaxed inertial forward-backward algorithm for structured monotone inclusions ⋮ A fast continuous time approach with time scaling for nonsmooth convex optimization

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