Expanding the applicability of a two step Newton-type projection method for ILL-posed problems

Ioannis K. Argyros; Monnanda E. Shobha; Santhosh George

doi:10.7169/facm/2014.51.1.8

Expanding the applicability of a two step Newton-type projection method for ILL-posed problems

Ioannis K. Argyros^*
, Monnanda E. Shobha
, Santhosh George

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

There are many classes of ill-posed problems that cannot be solved with existing iterative methods, since the usual Lipschitz-type assumptions are not satisfied. In this study, we expand the applicability of a two step Newton-type projection method considered in [10], [11], using weaker assumptions. Numerical examples for the method and examples where the old assumptions are not satisfied but the new assumptions are satisfied are provided at the end of this study.

Original language	English
Pages (from-to)	141-166
Number of pages	26
Journal	Functiones et Approximatio, Commentarii Mathematici
Volume	51
Issue number	1
DOIs	https://doi.org/10.7169/facm/2014.51.1.8
Publication status	Published - 01-05-2014

All Science Journal Classification (ASJC) codes

General Mathematics

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abstract = "There are many classes of ill-posed problems that cannot be solved with existing iterative methods, since the usual Lipschitz-type assumptions are not satisfied. In this study, we expand the applicability of a two step Newton-type projection method considered in [10], [11], using weaker assumptions. Numerical examples for the method and examples where the old assumptions are not satisfied but the new assumptions are satisfied are provided at the end of this study.",

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Expanding the applicability of a two step Newton-type projection method for ILL-posed problems

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