Bouligand-Levenberg-Marquardt iteration for a non-smooth ill-posed inverse problem

27 Feb 2019 Christian Clason Vu Huu Nhu

In this paper, we consider a modified Levenberg--Marquardt method for solving an ill-posed inverse problem where the forward mapping is not G\^ateaux differentiable. By relaxing the standard assumptions for the classical smooth setting, we derive asymptotic stability estimates that are then used to prove the convergence of the proposed method... (read more)

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  • NUMERICAL ANALYSIS
  • OPTIMIZATION AND CONTROL