Global convergence of a closed-loop regularized Newton method for solving monotone inclusions in Hilbert spaces

DOI10.1007/s10957-012-0222-3zbMath1290.90061OpenAlexW2062016584MaRDI QIDQ365658

Patrick Redont, Hedy Attouch, Benar Fux Svaiter

Publication date: 9 September 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-012-0222-3

zbMATH Keywords

convex optimizationNewton-type methodsLevenberg-Marquardt methodmonotone inclusionsBV controlsclosed-loop regularization

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Programming in abstract spaces (90C48)

Related Items

First-order optimization algorithms via inertial systems with Hessian driven damping ⋮ Asymptotic behavior of Newton-like inertial dynamics involving the sum of potential and nonpotential terms ⋮ Dynamical systems and forward–backward algorithms associated with the sum of a convex subdifferential and a monotone cocoercive operator ⋮ Newton-type inertial algorithms for solving monotone equations Governed by sums of potential and nonpotential operators ⋮ Convergence of inertial dynamics driven by sums of potential and nonpotential operators with implicit Newton-like damping ⋮ Fast optimization via inertial dynamics with closed-loop damping ⋮ Continuous Newton-like Methods Featuring Inertia and Variable Mass ⋮ Newton-like Inertial Dynamics and Proximal Algorithms Governed by Maximally Monotone Operators ⋮ Tikhonov regularization of a second order dynamical system with Hessian driven damping ⋮ Weak versus strong convergence of a regularized Newton dynamic for maximal monotone operators ⋮ Newton-like dynamics and forward-backward methods for structured monotone inclusions in Hilbert spaces ⋮ Continuous Newton-like inertial dynamics for monotone inclusions ⋮ A control-theoretic perspective on optimal high-order optimization

Cites Work

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