Cubically convergent methods for selecting the regularization parameters in linear inverse problems

DOI10.1016/j.jmaa.2009.03.024zbMath1167.65027OpenAlexW2036905605MaRDI QIDQ1023031

J. Martínez

Publication date: 10 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.03.024

zbMATH Keywords

iterative methodMorozov's discrepancy principleTikhonov's regularizationlinear inverse problemscubic convergencechoice of regularization parameter

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items

Projected Tikhonov regularization method for Fredholm integral equations of the first kind, A relaxed iterated Tikhonov regularization for linear ill-posed inverse problems, A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations

Cites Work

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• On a class of damped Morozov principles
• Inverse nodal and inverse spectral problems for discontinuous boundary value problems
• Attractors and symmetries of vector fields: the inverse problem
• Fast realization algorithms for determining regularization parameters in linear inverse problems
• Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
• On the Choice of the Regularization Parameter in Nonlinear Inverse Problems
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
• Iterative choices of regularization parameters in linear inverse problems
• A family of Chebyshev-Halley type methods in Banach spaces
• One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization
• A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction
• An improved model function method for choosing regularization parameters in linear inverse problems
• Inverse Problems and Torricelli's Law
• An introduction to the mathematical theory of inverse problems