Projected finite dimensional iteratively regularized Gauss–Newton method with a posteriori stopping for the ionospheric radiotomography problem

DOI10.1080/17415977.2021.1916818OpenAlexW3159806729WikidataQ114098126 ScholiaQ114098126MaRDI QIDQ5861287

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Publication date: 4 March 2022

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2021.1916818

zbMATH Keywords

discretizationintegral equationHilbert spaceprojectioniterative regularizationunique solvabilityoperator equationaccuracy estimateirregular operatorionospheric radiotomography

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear ill-posed problems (47J06) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22)

Cites Work

• Regularization methods in Banach spaces.
• Iterative regularization methods for nonlinear ill-posed problems
• Regularization algorithms for ill-posed problems
• A nonstandard approximation of pseudoinverse and a new stopping criterion for iterative regularization
• Finite dimensional iteratively regularized Gauss–Newton type methods and application to an inverse problem of the wave tomography with incomplete data range
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