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

Abstract

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.

arXiv comment16 pages, 2 figures. arXiv admin note: text overlap with arXiv:0801.3088

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