On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations

11/18/2020

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by   J. Baumeister, et al.

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In this article a modified Levenberg-Marquardt method coupled with a Kaczmarz strategy for obtaining stable solutions of nonlinear systems of ill-posed operator equations is investigated. We show that the proposed method is a convergent regularization method. Numerical tests are presented for a non-linear inverse doping problem based on a bipolar model.