Monotonicity of error of regularized solution and its use for parameter choice

DOI10.1080/17415977.2013.827185zbMath1304.65152OpenAlexW2059375498MaRDI QIDQ5496485

Toomas Raus, Reimo Palm, Uno Hämarik, Urve Kangro, Ulrich Tautenhahn

Publication date: 2 February 2015

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2013.827185

zbMATH Keywords

regularizationill-posed problemparameter choicemonotone error rule

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)

Related Items (2)

Heuristic Parameter Choice in Tikhonov Method from Minimizers of the Quasi-Optimality Function ⋮ ON THE SELF-REGULARIZATION OF ILL-POSED PROBLEMS BY THE LEAST ERROR PROJECTION METHOD

Uses Software

• Regularization tools

Cites Work

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• A family of rules for the choice of the regularization parameter in the Lavrentiev method in the case of rough estimate of the noise level of the data

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