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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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Publication:5745528
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DOI10.1515/jip-2012-0061zbMath1280.47013OpenAlexW2318195119MaRDI QIDQ5745528

Reimo Palm, Uno Hämarik, Toomas Raus

Publication date: 30 January 2014

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jip-2012-0061


zbMATH Keywords

regularizationill-posed problemsregularization parameter choicenoise levelLavrentiev method


Mathematics Subject Classification ID

Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)


Related Items (3)

Adaptivity and Oracle Inequalities in Linear Statistical Inverse Problems: A (Numerical) Survey ⋮ On application of asymptotic generalized discrepancy principle to the analysis of epidemiology models ⋮ Monotonicity of error of regularized solution and its use for parameter choice




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