Tikhonov regularization for nonlinear ill-posed problems

DOI10.1016/S0362-546X(95)00235-NzbMath0873.65056OpenAlexW2070289595MaRDI QIDQ3124190

Zongyi Hou, Qi-nian Jin

Publication date: 12 October 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(95)00235-n

zbMATH Keywords

convergenceHilbert spaceTikhonov regularizationnonlinear ill-posed problemsparameter choice

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (3)

A Discretizing Levenberg-Marquardt Scheme for Solving Nonlinear Ill-Posed Integral Equations ⋮ Efficient graph‐based tensile strength simulations of random fiber structures ⋮ Converse and saturation results on Tikhonov regularization together with a posteriori parameter choice

Cites Work

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• On a class of damped Morozov principles
• On the choice of the regularization parameter for iterated Tikhonov regularization of ill-posed problems
• The use of Morozov's discrepancy principle for Tikhonov regularization for solving nonlinear ill-posed problems
• Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
• An A Posteriori Parameter Choice for Ordinary and Iterated Tikhonov Regularization of Ill-Posed Problems Leading to Optimal Convergence Rates
• The general Arcangeli's method for solving ill-posed problems
• Optimal a Posteriori Parameter Choice for Tikhonov Regularization for Solving Nonlinear Ill-Posed Problems

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