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Numerical Functional Analysis and Optimization Volume 31, 2010 - Issue 10
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Original Articles

Modified Landweber Iteration in Banach Spaces—Convergence and Convergence Rates

Torsten Hein Technische Universität Chemnitz, Fakultät für Mathematik, Chemnitz, Deutschland
&
Kamil S. Kazimierski Center for Industrial Mathematics (ZeTeM) in collaboration with SFB 747, University of Bremen, Bremen, GermanyCorrespondence[email protected]
Pages 1158-1184 | Received 26 Aug 2009, Accepted 19 Jul 2010, Published online: 13 Sep 2010

Citations (13)

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Ying Wang, Jing Li & Jinping Wang. (2018) A convergence analysis of an inexact Newton-Landweber iteration method for nonlinear problem. Applicable Analysis 97:7, pages 1106-1116.
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Lingling Du, Jing Li & Jinping Wang. (2017) The analysis study on nonlinear iterative methods for inverse problems. Applicable Analysis 96:6, pages 925-935.
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Articles from other publishers (11)

Pallavi Mahale & Sharad Kumar Dixit. (2021) Error estimates for the iteratively regularized Newton–Landweber method in Banach spaces under approximate source conditions. Journal of Inverse and Ill-posed Problems 29:1, pages 27-48.
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Ivan Tomba & Barbara Kaltenbacher. (2015) Enhanced choice of the parameters in an iteratively regularized Newton-Landweber iteration in Banach space. Enhanced choice of the parameters in an iteratively regularized Newton-Landweber iteration in Banach space.
Martin Burger, Barbara Kaltenbacher & Andreas Neubauer. 2015. Handbook of Mathematical Methods in Imaging. Handbook of Mathematical Methods in Imaging 431 470 .
Martin Burger, Barbara Kaltenbacher & Andreas Neubauer. 2020. Handbook of Mathematical Methods in Imaging. Handbook of Mathematical Methods in Imaging 1 37 .
Paola Brianzi, Fabio Di?Benedetto & Claudio Estatico. (2013) Preconditioned iterative regularization in Banach spaces. Computational Optimization and Applications 54:2, pages 263-282.
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Barbara Kaltenbacher & Ivan Tomba. (2013) Convergence rates for an iteratively regularized Newton–Landweber iteration in Banach space. Inverse Problems 29:2, pages 025010.
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Barbara Kaltenbacher. 2013. System Modeling and Optimization. System Modeling and Optimization 38 48 .
Radu Ioan Boţ & Torsten Hein. (2012) Iterative regularization with a general penalty term—theory and application to L 1 and TV regularization . Inverse Problems 28:10, pages 104010.
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A Leitão & M Marques Alves. (2012) On Landweber–Kaczmarz methods for regularizing systems of ill-posed equations in Banach spaces. Inverse Problems 28:10, pages 104008.
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Maarten V de Hoop, Lingyun Qiu & Otmar Scherzer. (2012) Local analysis of inverse problems: Hölder stability and iterative reconstruction. Inverse Problems 28:4, pages 045001.
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Caifang Wang & Tie Zhou. (2012) The order of convergence for Landweber Scheme with $\alpha,\beta$-rule. Inverse Problems and Imaging 6:1, pages 133-146.
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