A Study of a Posteriori Stopping in Iteratively Regularized Gauss–Newton-Type Methods for Approximating Quasi-Solutions of Irregular Operator Equations
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Published:2022-02
Issue:2
Volume:66
Page:24-35
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ISSN:1066-369X
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Container-title:Russian Mathematics
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language:en
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Short-container-title:Russ Math.
Subject
General Mathematics
Reference7 articles.
1. A. B. Bakushinsky, M. M. Kokurin, and M.Yu. Kokurin, Regularization Algorithms for Ill–Posed Problems (Walter de Gruyter, Berlin, 2018).
2. B. Kaltenbacher, A. Neubauer, and O. Scherzer, Iterative Regularization Methods for Nonlinear Ill–Posed Problems (Walter de Gruyter, Berlin, 2008).
3. A. B. Bakushinskii and M. Yu. Kokurin, Algorithmic Analysis of Irregular Operator Equations (URSS, Moscow, 2012) [in Russian].
4. M. Yu. Kokurin, “Iteratively regularized methods for irregular nonlinear operator equations with a normally solvable derivative at the solution,” Comput. Math. Math. Phys. 56 (9), 1523–1535 (2016). https://doi.org/10.1134/S0965542516090098
5. M. Yu. Kokurin, “Accuracy estimates of Gauss–Newton-type iterative regularization methods for nonlinear equations with operators having normally solvable derivative at the solution,” J. Inverse Ill-Posed Probl. 24 (4), 449–462 (2016). https://doi.org/10.1515/jiip-2016-0009