Stefan Kindermann, Antonio Leitao,
"Convergence rates for Kaczmarz type regularization methods"
, in Inverse Problems and Imaging, Vol. 8, Nummer 1, Seite(n) 149-172, 2014
Original Titel:
Convergence rates for Kaczmarz type regularization methods
Sprache des Titels:
Englisch
Original Kurzfassung:
This article is devoted to the convergence analysis of a special family of iterative regularization 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 and 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 [22, 13, 12, 8]