Hanke–Raus rule for Landweber iteration in Banach spaces

We consider the Landweber iteration for solving linear as well as nonlinear inverse problems in Banach spaces. Based on the discrepancy principle, we propose a heuristic parameter choice rule for choosing the regularization parameter which does not require the information on the noise level, so it i...

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Bibliographic Details
Published in:	Numerische Mathematik Vol. 156; no. 1; pp. 345 - 373
Main Author:	Real, Rommel R.
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2024 Springer Nature B.V
Subjects:	Banach spaces Convergence Inverse problems Iterative methods Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Noise levels Numerical Analysis Numerical and Computational Physics Parameters Regularization Simulation Theoretical 65J20 Numerical solutions of ill-posed problems in abstract spaces regularization
ISSN:	0029-599X, 0945-3245
Online Access:	Get full text
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