About Regularization of Severely Ill-Posed Problems by Standard Tikhonov's Method with the Balancing Principle

Autor: Sergei G. Solodky, Ganna L. Myleiko
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Mathematical Modelling and Analysis, Vol 19, Iss 2 (2014)
Druh dokumentu: article
ISSN: 13926292
1392-6292
1648-3510
DOI: 10.3846/13926292.2014.909898
Popis: In the present paper for a stable solution of severely ill-posed problems with perturbed input data, the standard Tikhonov method is applied, and the regularization parameter is chosen according to balancing principle. We establish that the approach provides the order of accuracy on the class of problems under consideration.
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