Morozov’s Discrepancy Principle For The Tikhonov Regularization Of Exponentially Ill-Posed Problems

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Abstract: The problem of approximate solution of severely ill-posed problems given in the form of linear operator equations of the first kind with approximately known right-hand sides was considered. We have studied a strategy for solving this type of problems, which consists in combinating of Morozov’s discrepancy principle and a finite-dimensional version of the Tikhonov regularization. It is shown that this combination provides an optimal order of accuracy on source sets

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: Morozov’s Discrepancy Principle For The Tikhonov Regularization Of Exponentially Ill-Posed Problems ; volume:8 ; number:1 ; year:2008 ; pages:86-98
Computational methods in applied mathematics ; 8, Heft 1 (2008), 86-98

Creator: SOLODKY, S.G.
MOSENTSOVA, A.

DOI: 10.2478/cmam-2008-0006

URN: urn:nbn:de:101:1-2410261633061.773765485904

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:37 AM CEST

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SOLODKY, S.G.
MOSENTSOVA, A.

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Morozov’s Discrepancy Principle For The Tikhonov Regularization Of Exponentially Ill-Posed Problems

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