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.

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

Cited by in corpus (5)

• On projective Landweber-Kaczmarz methods for solving systems of nonlinear ill-posed equations
• Landweber-Kaczmarz for parameter identification in time-dependent inverse problems: All-at-once versus Reduced version
• Modified iterated Tikhonov methods for solving systems of nonlinear ill-posed equations
• Range-relaxed criteria for choosing the Lagrange multipliers in the Levenberg-Marquardt method
• On numerical aspects of parameter identification for the Landau-Lifshitz-Gilbert equation in Magnetic Particle Imaging