Inexact Newton-Landweber iteration for solving nonlinear inverse problems in Banach spaces
By making use of duality mappings, we formulate an inexact Newton-Landweber iteration method for solving nonlinear inverse problems in Banach spaces. The method consists of two components: an outer Newton iteration and an inner scheme providing the increments by applying the Landweber iteration in Banach spaces to the local linearized equations. It has the advantage of reducing computational work by computing more cheap steps in each inner scheme. We first prove a convergence result for the...[Show more]
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