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Kaczmarz methods for regularizing nonlinear ill-posed equations II: Applications

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  • In part I we introduced modified Landweber--Kaczmarz methods and established a convergence analysis. In the present work we investigate three applications: an inverse problem related to thermoacoustic tomography, a nonlinear inverse problem for semiconductor equations, and a nonlinear problem in Schlieren tomography. Each application is considered in the framework established in the previous part. The novel algorithms show robustness, stability, computational efficiency and high accuracy.
    Mathematics Subject Classification: Primary: 65J20, 65J15; Secondary: 47J06.

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