Kaczmarz methods for regularizing nonlinear ill-posed equations II: Applications
Markus Haltmeier Richard Kowar Antonio Leitão Otmar Scherzer
Inverse Problems & Imaging 2007, 1(3): 507-523 doi: 10.3934/ipi.2007.1.507
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.
keywords: Ill-posed systems; Landweber--Kaczmarz; Regularization.

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