A speed restart scheme for a dynamics with Hessian driven damping

Juan Jose Maulen, Juan Peypouquet

In this paper, we analyze a speed restarting scheme for the dynamical system given by $$\ddot{x}(t)+\frac{\alpha }{t}\dot{x}(t)+\nabla \varphi (x(t))+\beta {\nabla }^2\varphi (x(t))\dot{x}(t)=0,$$ whe…