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Inverse Problems and Imaging

Subject Areas: Analysis
ISSN: 1930-8345
SJR: 40

Open Access

Journal Article

Modified iterated Tikhonov methods for solving systems of nonlinear ill-posed equations

Baumeister, J.; De Cezaro, A.; Leitao, A.

2020 Mathematics

doi:10.3934/ipi.2011.5.1

Abstract: We investigate iterated Tikhonov methods coupled with a Kaczmarz strategy for obtaining stable solutions of nonlinear systems of ill-posed operator equations. We show that the proposed method is a convergent regularization method. In the case of noisy data we propose a modification, the...

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