Lavrentiev Regularization and Balancing Principle for Solving Ill-Posed Problems with Monotone Operators

Abstract: The paper considers a method for solving nonlinear ill-posed problems with monotone operators. The approach combines the Lavrentiev method, the fixedpoint method, and the balancing principle for selection of the regularization parameter. The method’s optimality has been proved for some set of smooth solutions. A test example proves the efficiency of the proposed method.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Lavrentiev Regularization and Balancing Principle for Solving Ill-Posed Problems with Monotone Operators ; volume:10 ; number:4 ; year:2010 ; pages:444-454
Computational methods in applied mathematics ; 10, Heft 4 (2010), 444-454

Creator
Semenova, E.V.

DOI
10.2478/cmam-2010-0026
URN
urn:nbn:de:101:1-2410261637155.652658574218
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:28 AM CEST

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Associated

  • Semenova, E.V.

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