On Steepest-Descent-Kaczmarz methods for regularizing systems of nonlinear ill-posed equations

Cezaro, Adriano de; Haltmeier, Markus; Leitão, Antônio; Scherzer, Otmar

Abstract:

We investigate modified steepest-descent methods coupled with a loping 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. Numerical tests are presented for a linear problem related to photoacoustic tomography and a nonlinear problem related to the testing of semiconductor devices.

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  • IMEF - Artigos publicados em periódicos