In a real Hilbert space H, in order to develop fast optimization methods, we analyze the
asymptotic behavior, as time t tends to infinity, of a large class of autonomous dissipative …

We investigate the asymptotic properties of the trajectories generated by a second-order
dynamical system with Hessian driven damping and a Tikhonov regularization term in …

In this paper, we propose a second-order continuous primal-dual dynamical system with
time-dependent positive damping terms for a separable convex optimization problem with …

In this work, we approach the minimization of a continuously differentiable convex function
under linear equality constraints by a second-order dynamical system with asymptotically …

In this paper we deal with a general second order continuous dynamical system associated
to a convex minimization problem with a Fréchet differentiable objective function. We show …

For a linear equality constrained convex optimization problem, we initially propose a mixed
primal-dual dynamical system with Hessian driven damping. This dynamical system …

This paper provides a self-contained ordinary differential equation solver approach for
separable convex optimization problems. A novel primal-dual dynamical system with built-in …

We propose an inertial primal-dual dynamic with damping and scaling coefficients, which
involves inertial terms both for primal and dual variables, for a linearly constrained convex …

In this work, we approach the minimization of a continuously differentiable convex function
under linear equality constraints by a second-order dynamical system with an asymptotically …

The aim of this survey is to present the main important techniques and tools from variational
analysis used for first and second order dynamical systems of implicit type for solving …