Convergence and application of a modified iteratively regularized Gauss–Newton algorithm

DOI10.1088/0266-5611/23/4/011zbMath1123.65052OpenAlexW2145594223MaRDI QIDQ5757524

Taufiquar Khan, Rosemary A. Renaut, Alexandra B. Smirnova

Publication date: 7 September 2007

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

Full work available at URL: https://doi.org/10.1088/0266-5611/23/4/011

zbMATH Keywords

convergenceregularizationHilbert spaceiterative methodill-posed operator equationsnonlinear differentiable operator

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)

Related Items (13)

A Krylov subspace type method for Electrical Impedance Tomography ⋮ Numerical study of discretization algorithms for stable estimation of disease parameters and epidemic forecasting ⋮ Improving epidemic size prediction through stable reconstruction of disease parameters by reduced iteratively regularized Gauss-Newton algorithm ⋮ Inverse problem of groundwater modeling by iteratively regularized Gauss-Newton method with a nonlinear regularization term ⋮ Relative computational efficiency of iteratively regularized methods ⋮ On iteratively regularized predictor–corrector algorithm for parameter identification ^* ⋮ A study of frozen iteratively regularized Gauss-Newton algorithm for nonlinear ill-posed problems under generalized normal solvability condition ⋮ A family of preconditioned iteratively regularized methods for nonlinear minimization ⋮ Comparison of statistical inversion with iteratively regularized Gauss Newton method for image reconstruction in electrical impedance tomography ⋮ Inverse Problems Involving PDEs with Applications to Imaging ⋮ Theoretical and Numerical Study of Iteratively Truncated Newton’s Algorithm ⋮ On stable parameter estimation and short-term forecasting with quantified uncertainty with application to COVID-19 transmission ⋮ Irregular operator equations by iterative methods with undetermined reverse connection

This page was built for publication: Convergence and application of a modified iteratively regularized Gauss–Newton algorithm