Iteratively regularized Landweber iteration method: Convergence analysis via Hölder stability
作者：
Highlights：
• In this paper, the local convergence of Iteratively regularized Landweber iteration method is investigated for solving non-linear ill-posed inverse problems in Banach spaces.
• The convergence analysis is based on a recently discovered smoothness concept of Holder stability estimates.
• We discussed the convergence analysis for both the noisy as well as non-noisy data.
• The assumptions in the paper are verified through a concrete example.
• The study provides two different convergence rates for the iterates.
摘要
•In this paper, the local convergence of Iteratively regularized Landweber iteration method is investigated for solving non-linear ill-posed inverse problems in Banach spaces.•The convergence analysis is based on a recently discovered smoothness concept of Holder stability estimates.•We discussed the convergence analysis for both the noisy as well as non-noisy data.•The assumptions in the paper are verified through a concrete example.•The study provides two different convergence rates for the iterates.
论文关键词：Iterative regularization,Nonlinear ill-posed problems,Hölder stability estimates
论文评审过程：Received 29 March 2020, Revised 7 September 2020, Accepted 11 October 2020, Available online 22 October 2020, Version of Record 22 October 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125744
