The Averaged Kaczmarz Iteration for Solving Inverse ProblemsMS61

We introduce a new iterative regularization method for solving imaging problems and other inverse problems that can be written as systems of linear or non-linear equations. The proposed averaged Kaczmarz (AVEK) method can be seen as a hybrid method between the Landweber and the Kaczmarz method. We present a convergence analysis of AVEK and present numerical results for its application to photo-acoustic tomography.

This presentation is part of Minisymposium “MS61 - Imaging with Light and Sound (3 parts)
organized by: Felix Lucka (CWI & UCL) , Tanja Tarvainen (University of Eastern Finland) .

Markus Haltmeier (University Innsbruck)
Housen Li (Georg-August-Universität Göttingen)
computed tomography, image reconstruction, inverse problems