A generalization of continuous regularized Gauss–Newton method for ill-posed problems
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Publication:5745469
DOI10.1515/JIIP.2011.040zbMath1280.47065OpenAlexW2064897641MaRDI QIDQ5745469
P. Ravishankar, M. Thamban Nair
Publication date: 30 January 2014
Published in: jiip (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip.2011.040
regularizationill-posed problemGauss-Newton methoddynamical system methodgeneral source conditionorder optimal
Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)
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Cites Work
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- General Source Conditions for Nonlinear Ill-Posed Equations
- A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions
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- CONTINUOUS ANALOG OF THE GAUSS–NEWTON METHOD
- On the asymptotical regularization of nonlinear ill-posed problems
- On a general regularization scheme for nonlinear ill-posed problems
- Optimality for ill-posed problems under general source conditions
- Regularized Versions of Continuous Newton's Method and Continuous Modified Newton's Method Under General Source Conditions
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