Preprint D112/2014
Convergence rates for Kaczmarz type regularization methods
Stefan Kinderman | Antonio Leitao

This article is devoted to the convergence analysis of a special family of iterative regular-
ization methods for solving systems of ill{posed operator equations in Hilbert spaces, namely
Kaczmarz type methods. The analysis is focused on the Landweber{Kaczmarz (LK) explicit
iteration an the iterated Tikhonov{Kaczmarz (iTK) implicit iteration. The corresponding
symmetric versions of these iterative methods are also investigated (sLK and siTK).We prove
convergence rates for the four methods above, extending and complementing the convergence
analysis established originally in [24, 13, 12, 7].