A Speed Restart Scheme for a Dynamics with Hessian-Driven Damping
分析了Attouch等人提出的海森驱动阻尼惯性动力学的速度重启方案，证明了沿重启轨迹函数值的线性收敛率，数值实验表明该方案能提升动力学及迭代算法的实际性能。
Abstract In this paper, we analyze a speed restarting scheme for the inertial dynamics with Hessian-driven damping, introduced by Attouch et al. (J Differ Equ 261(10):5734–5783, 2016). We establish a linear convergence rate for the function values along the restarted trajectories. Numerical experiments suggest that the Hessian-driven damping and the restarting scheme together improve the performance of the dynamics and corresponding iterative algorithms in practice.