First-Order Frameworks for Continuous Newton-like Dynamics Governed by Maximally Monotone Operators
Sign Up to like & getrecommendations! Published in 2021 at "Set-Valued and Variational Analysis"
DOI: 10.1007/s11228-021-00593-1
Abstract: In a Hilbert framework, we discuss a continuous Newton-like model that is well-adapted in view to numerical purposes for solving convex minimization and more general monotone inclusion problems. Algorithmic solutions to these problems were recently… read more here.
Keywords: newton like; maximally monotone; first order; continuous newton ... See more keywords
Convergence of damped inertial dynamics governed by regularized maximally monotone operators
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.02.017
Abstract: In a Hilbert space setting, we study the asymptotic behavior, as time $t$ goes to infinity, of the trajectories of a second-order differential equation governed by the Yosida regularization of a maximally monotone operator with… read more here.
Keywords: dynamics governed; damped inertial; convergence damped; inertial dynamics ... See more keywords