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Convergence Rates of First- and Higher-Order Dynamics for Solving Linear Ill-Posed Problems

Convergence Rates of First- and Higher-Order Dynamics for Solving Linear Ill-Posed Problems

Abstract Recently, there has been a great interest in analysing dynamical flows, where the stationary limit is the minimiser of a convex energy. Particular flows of great interest have been continuous limits of Nesterov’s algorithm and the fast iterative shrinkage-thresholding algorithm, respectively. In this paper, we approach the solutions of …