A generalization of continuous regularized Gauss–Newton method for ill-posed problems

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

zbMATH Keywords

regularizationill-posed problemGauss-Newton methoddynamical system methodgeneral source conditionorder optimal

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)

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Cites Work

• On the discrepancy principle for some Newton type methods for solving nonlinear inverse problems
• Convergence rates of iterated Tikhonov regularized solutions of nonlinear ill-posed problems
• A posteriori parameter choice strategies for some Newton type methods for the regularization of nonlinear ill-posed problems
• Morozov's discrepancy principle under general source conditions
• A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
• Continuous modified Newton's-type method for nonlinear operator equations
• A simplified generalized Gauss-Newton method for nonlinear ill-posed problems
• 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
• On broyden's method for the regularization of nonlinear ill-posed problems
• 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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