Comments on Morozov’s Discrepancy Principle

1983 ◽  
pp. 97-104 ◽  
Author(s):  
C. W. Groetsch
Keyword(s):  
Discrepancy Principle ◽  
Morozov’S Discrepancy Principle

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

2008 ◽  
Vol 8 (1) ◽  
pp. 86-98 ◽  
Author(s):  
S.G. SOLODKY ◽  
A. MOSENTSOVA
Keyword(s):  
Tikhonov Regularization ◽  
Optimal Order ◽  
Discrepancy Principle ◽  
Operator Equations ◽  
Order Of Accuracy ◽  
Finite Dimensional ◽  
Dimensional Version ◽  
Ill Posed ◽  
Linear Operator Equations ◽  
Morozov’S Discrepancy Principle

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

Morozov's discrepancy principle for tikhonov

2000 ◽  
Vol 21 (7-8) ◽  
pp. 901-916 ◽  
Author(s):  
Sergei Pereverzev ◽  
Eberhard Schock
Keyword(s):  
Discrepancy Principle ◽  
Morozov’S Discrepancy Principle

scholarly journals ON MOROZOV’S DISCREPANCY PRINCIPLE FOR NONLINEAR ILL-POSED EQUATIONS

2009 ◽  
Vol 79 (2) ◽  
pp. 337-342 ◽  
Author(s):  
M. T. NAIR
Keyword(s):  
Tikhonov Regularization ◽  
Nonlinear Problems ◽  
Discrepancy Principle ◽  
Parameter Choice ◽  
Operator Equations ◽  
Ill Posed ◽  
Morozov’S Discrepancy Principle ◽  
General Source

AbstractMorozov’s discrepancy principle is one of the simplest and most widely used parameter choice strategies in the context of regularization of ill-posed operator equations. Although many authors have considered this principle under general source conditions for linear ill-posed problems, such study for nonlinear problems is restricted to only a few papers. The aim of this paper is to apply Morozov’s discrepancy principle for Tikhonov regularization of nonlinear ill-posed problems under general source conditions.

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