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

Part of: Numerical analysis in abstract spaces Partial differential equations, initial value and time-dependent initial-boundary value problems

Published online by Cambridge University Press:  13 March 2009

M. T. NAIR
M. T. NAIR*
Affiliation:
Department of Mathematics, I.I.T. Madras, Chennai 600 036, India (email: mtnair@iitm.ac.in)
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Abstract

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Morozov’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.

Keywords

inverse problemsill-posed problemsTikhonov regularizationdiscrepancy principle

MSC classification

Secondary: 65J20: Improperly posed problems; regularization 65M30: Improperly posed problems
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 79 , Issue 2 , April 2009 , pp. 337 - 342
Copyright
Copyright © Australian Mathematical Society 2009

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