Iteratively regularized Landweber iteration method: Convergence analysis via Hölder stability
نویسندگان
چکیده
In this paper, the local convergence of Iteratively regularized Landweber iteration method is investigated for solving non-linear inverse problems in Banach spaces. Our analysis mainly relies on assumption that mapping satisfies Hölder stability estimate locally. We consider both noisy as well non-noisy data our analysis. Under a-priori choice stopping index data, we show iterates remain a certain ball around exact solution and obtain rates. The to shown under assumptions case by-product, different conditions, two rates are obtained.
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2021
ISSN: ['1873-5649', '0096-3003']
DOI: https://doi.org/10.1016/j.amc.2020.125744