A projective averaged Kaczmarz iteration for nonlinear ill-posed problems

DOI10.1088/1361-6420/aba5efzbMath1451.65068OpenAlexW3042635590MaRDI QIDQ5123707

Shanshan Tong, Bo Han, Jinping Tang

Publication date: 29 September 2020

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6420/aba5ef

zbMATH Keywords

convergence analysisiterative regularizationnonlinear ill-posed problemsKaczmarz methodhomotopy perturbationprojective method

Mathematics Subject Classification ID

Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (5)

A generalized adaptive Levenberg–Marquardt method for solving nonlinear ill-posed problems ⋮ Adaptively sketched Bregman projection methods for linear systems ⋮ A Fast Averaged Kaczmarz Iteration with Convex Penalty for Inverse Problems in Hilbert Spaces ⋮ A data-driven Kaczmarz iterative regularization method with non-smooth constraints for ill-posed problems ⋮ A projective two-point gradient Kaczmarz iteration for nonlinear ill-posed problems

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