Uniform convergence of regularization methods for linear ill-posed problems

DOI10.1016/0377-0427(91)90163-EzbMath0747.65037OpenAlexW2029581216MaRDI QIDQ1184113

Heinz W. Engl, Günther Hodina

Publication date: 28 June 1992

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(91)90163-e

zbMATH Keywords

convergence ratesBanach spacesuniform convergencenumerical exampleslinear ill-posed problemregularization methods

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (1)

Perturbation analysis for the operator equation \(Tx=b\) in Banach spaces

Cites Work

• Quantitative Korovkin type theorems on simultaneous approximation
• A posteriori parameter choice for general regularization methods for solving linear ill-posed problems
• Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
• Tikhonov regularisation for non-linear ill-posed problems: optimal convergence rates and finite-dimensional approximation
• An Improved Version of Marti's Method for Solving Ill-Posed Linear Integral Equations
• An A Posteriori Parameter Choice for Ordinary and Iterated Tikhonov Regularization of Ill-Posed Problems Leading to Optimal Convergence Rates
• Necessary and sufficient conditions for convergence of regularization methods for solving linear operator equations of the first kind
• An Algorithm for Computing Minimum Norm Solutions of Fredholm Integral Equations of the First Kind
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