Expanding the applicability of Lavrentiev regularization methods for ill-posed problems

DOI10.1186/1687-2770-2013-114zbMath1293.65083OpenAlexW2156394487WikidataQ59304909 ScholiaQ59304909MaRDI QIDQ2251120

Ioannis K. Argyros, Yeol Je Cho, Santhosh George

Publication date: 11 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-114

zbMATH Keywords

convergencenumerical examplesHilbert spaceerror analysisboundary value problemFréchet derivativeill-posed problemsstopping indexsource functionLavrentiev regularization method

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 (3)

Lavrentiev's regularization method in Hilbert spaces revisited ⋮ Conditional stability versus ill-posedness for operator equations with monotone operators in Hilbert space ⋮ Finite dimensional realization of a quadratic convergence yielding iterative regularization method for ill-posed equations with monotone operators

Cites Work

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• On the method of Lavrentiev regularization for nonlinear ill-posed problems
• On the choice of the regularization parameter for ordinary and iterated Tikhonov regularization of nonlinear ill-posed problems
• On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems
• ON APPLICATION OF GENERALIZED DISCREPANCY PRINCIPLE TO ITERATIVE METHODS FOR NONLINEAR ILL-POSED PROBLEMS
• Tikhonov regularization anda posteriorirules for solving nonlinear ill posed problems
• Weakly closed nonlinear operators and parameter identification in parabolic equations by tikhonov regularization

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