Morozov’s Discrepancy Principle For The Tikhonov Regularization Of Exponentially Ill-Posed Problems
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
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
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
- Urheber
-
SOLODKY, S.G.
MOSENTSOVA, A.
- DOI
-
10.2478/cmam-2008-0006
- URN
-
urn:nbn:de:101:1-2410261633061.773765485904
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
15.08.2025, 07:37 MESZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- SOLODKY, S.G.
- MOSENTSOVA, A.
Ähnliche Objekte (12)
Morozov's discrepancy principle for Tikhonov regularization of severely ill-posed problems in finite-dimensional subspaces
Regularization properties of the discrepancy principle for Tikhonov regularization in Banach spaces : Regularization properties of the discrepancy principle for Tikhonov regularization in Banach spaces
A discrepancy principle for Tikhonov regularization with approximately specified data
Lavrentiev Regularization and Balancing Principle for Solving Ill-Posed Problems with Monotone Operators
Regularization algorithms for ill-posed problems
Regularization of Ill-Posed Point Neuron Models
Regularization theory for Ill-posed problems : selected topics
Iterative regularization methods for nonlinear ill posed problems
Ill-posed inverse problems and their optimal regularization
Regularization Methods for Ill-Posed Optimal Control Problems
Iterated Tikhonov regularization for linear ill-posed problem
Ill-posed inverse problems and their optimal regularization
Morozov's discrepancy principle for Tikhonov regularization of severely ill-posed problems in finite-dimensional subspaces
Regularization properties of the discrepancy principle for Tikhonov regularization in Banach spaces : Regularization properties of the discrepancy principle for Tikhonov regularization in Banach spaces
A discrepancy principle for Tikhonov regularization with approximately specified data
Lavrentiev Regularization and Balancing Principle for Solving Ill-Posed Problems with Monotone Operators
Regularization algorithms for ill-posed problems
Regularization of Ill-Posed Point Neuron Models
Regularization theory for Ill-posed problems : selected topics
Iterative regularization methods for nonlinear ill posed problems
Ill-posed inverse problems and their optimal regularization
Regularization Methods for Ill-Posed Optimal Control Problems
Iterated Tikhonov regularization for linear ill-posed problem
Ill-posed inverse problems and their optimal regularization
Morozov's discrepancy principle for Tikhonov regularization of severely ill-posed problems in finite-dimensional subspaces
Regularization properties of the discrepancy principle for Tikhonov regularization in Banach spaces : Regularization properties of the discrepancy principle for Tikhonov regularization in Banach spaces
A discrepancy principle for Tikhonov regularization with approximately specified data
Lavrentiev Regularization and Balancing Principle for Solving Ill-Posed Problems with Monotone Operators
Regularization algorithms for ill-posed problems
Regularization of Ill-Posed Point Neuron Models
Regularization theory for Ill-posed problems : selected topics
Iterative regularization methods for nonlinear ill posed problems
Ill-posed inverse problems and their optimal regularization
Regularization Methods for Ill-Posed Optimal Control Problems
Iterated Tikhonov regularization for linear ill-posed problem