On Landweber–Kaczmarz Methods for Regularizing Systems of Ill-Posed Equations in Banach Spaces

Antonio Leitao* and Maicon Marques Alves

In this talk, iterative regularization methods of Landweber–Kaczmarz type are considered for solving systems of ill-posed equations modeled (finitely many) by operators acting between Banach spaces. Using assumptions of uniform convexity and smoothness on the parameter space, we are able to prove a monotony result for the proposed method, as well as to establish convergence (for exact data) and stability results (in the noisy data case).

Mathematics Subject Classification: 65J20

Keywords: Iterative regularization; Landweber method; Ill-posed problems

Minisymposion: Dual Methods for Approaching Inverse Problems