Tikhonov regularization of nonlinear ill-posed equations under general source condition

DOI10.1515/jiip.2007.044zbMath1153.65060OpenAlexW2160623699MaRDI QIDQ5443546

Pallavi Mahale, M. Thamban Nair

Publication date: 21 February 2008

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2007.044

zbMATH Keywords

error estimatesTikhonov regularizationEuler-Lagrange equationsource conditionnonlinear ill-posed equationsparameter choices

Mathematics Subject Classification ID

Nonlinear ill-posed problems (47J06) Numerical solutions to equations with linear operators (65J10) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (4)

Simplified Levenberg–Marquardt method in Banach spaces for nonlinear ill-posed operator equations ⋮ Logarithmic convergence rate of Levenberg–Marquardt method with application to an inverse potential problem ⋮ Regularization Methods for Ill-Posed Problems ⋮ ON MOROZOV’S DISCREPANCY PRINCIPLE FOR NONLINEAR ILL-POSED EQUATIONS

Cites Work

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• MOROZOV'S DISCREPANCY PRINCIPLE FOR TIKHONOV-REGULARIZATION OF NONLINEAR OPERATORS
• Tikhonov regularization anda posteriorirules for solving nonlinear ill posed problems
• Tikhonov replacement functionals for iteratively solving nonlinear operator equations

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