Irregular operator equations by iterative methods with undetermined reverse connection

DOI10.1515/jiip.2010.005zbMath1280.47011OpenAlexW2080081640MaRDI QIDQ2874438

Anatoly B. Bakushinsky, Alexandra B. Smirnova

Publication date: 30 January 2014

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2010.005

zbMATH Keywords

regularizationill-posed problemstopping ruleGauss-Newton algorithm

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Linear operators and ill-posed problems, regularization (47A52)

Cites Work

• Image super-resolution by TV-regularization and Bregman iteration
• Iterative total variation regularization with non-quadratic fidelity
• Numerical solution of a non-linear ill-posed problem arising in inverse scattering
• On the Born approximation for weak uniform scatterers
• On convergence rates for the iteratively regularized Gauss-newton method
• Logarithmic convergence rates of the iteratively regularized Gauss - Newton method for an inverse potential and an inverse scattering problem
• Regularizing Newton--Kaczmarz Methods for Nonlinear Ill-Posed Problems
• Convergence and application of a modified iteratively regularized Gauss–Newton algorithm

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