Asymptotics for some proximal-like method involving inertia and memory aspects

DOI10.1007/s11228-010-0140-1zbMath1214.65037OpenAlexW2092157735MaRDI QIDQ632230

Alexandre Cabot, Pierre Frankel

Publication date: 15 March 2011

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-010-0140-1

zbMATH Keywords

algorithmconvergencedifferential inclusionproximal point algorithmdissipative dynamical systemmemory effectaveraged gradient method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Ordinary differential inclusions (34A60) Existence theories for optimal control problems involving ordinary differential equations (49J15) Discrete approximations in optimal control (49M25)

Related Items (13)

Penalty schemes with inertial effects for monotone inclusion problems ⋮ New inertial factors of the Krasnosel'skiĭ-Mann iteration ⋮ An inertial forward-backward algorithm for the minimization of the sum of two nonconvex functions ⋮ Inertial Douglas-Rachford splitting for monotone inclusion problems ⋮ A Hybrid Proximal-Extragradient Algorithm with Inertial Effects ⋮ An inertial Tseng's type proximal algorithm for nonsmooth and nonconvex optimization problems ⋮ Sequential formulae for the normal cone to sublevel sets ⋮ Convergence of a relaxed inertial proximal algorithm for maximally monotone operators ⋮ Convergence Rates of Inertial Forward-Backward Algorithms ⋮ Gradient-type penalty method with inertial effects for solving constrained convex optimization problems with smooth data ⋮ An inertial proximal-gradient penalization scheme for constrained convex optimization problems ⋮ Asymptotics for a gradient system with memory term ⋮ An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems

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