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

Cezaro, Adriano de; Baumeister, Johann; Leitão, Antônio


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 modi_cation, the so called loping iterated Tikhonov-Kaczmarz method, where a sequence of relaxation parameters is introduced and a di_erent stopping rule is used. Convergence analysis for this method is also provided.

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  • IMEF - Artigos publicados em periódicos