First-Order Continuous Newton-like Systems for Monotone Inclusions

DOI10.1137/110854758zbMath1272.34086OpenAlexW2094772768MaRDI QIDQ2840151

Paul-Emile Maingé

Publication date: 17 July 2013

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110854758

zbMATH Keywords

maximal monotone operatorsconvex optimizationdissipative dynamical systemsnonautonomous differential equationsNewton-like methodsabsolutely continuous trajectories

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Variational methods involving nonlinear operators (47J30) Iterative procedures involving nonlinear operators (47J25) Theoretical approximation of solutions to ordinary differential equations (34A45) Evolution inclusions (34G25)

Related Items (5)

Accelerated proximal algorithms with a correction term for monotone inclusions ⋮ Global convergence of a closed-loop regularized Newton method for solving monotone inclusions in Hilbert spaces ⋮ Newton-type inertial algorithms for solving monotone equations Governed by sums of potential and nonpotential operators ⋮ Weak versus strong convergence of a regularized Newton dynamic for maximal monotone operators ⋮ A control-theoretic perspective on optimal high-order optimization

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