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Inexact Newton-Landweber iteration for solving nonlinear inverse problems in Banach spaces

Jin, Qinian


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]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
Source: Inverse Problems
DOI: 10.1088/0266-5611/28/6/065002


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