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Landweber iteration of Kaczmarz type with general non-smooth convex penalty functionals

Landweber iteration of Kaczmarz type with general non-smooth convex penalty functionals

The determination of solutions of many inverse problems usually requires a set of measurements which leads to solving systems of ill-posed equations. In this paper, we propose the Landweber iteration of Kaczmarz type with general uniformly convex penalty functional. The method is formulated by using tools from convex analysis. The …