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Two-Step Modified Newton Method for Nonlinear Lavrentiev Regularization
Joint Authors
George, Santhosh
Pareth, Suresan
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-04
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A two step modified Newton method is considered for obtaining an approximate solution for the nonlinear ill-posed equation F(x)=f when the available data are fδ with ‖f−fδ‖≤δ and the operator F is monotone.
The derived error estimate under a general source condition on x0−x^ is of optimal order; here x0 is the initial guess and x^ is the actual solution.
The regularization parameter is chosen according to the adaptive method considered by Perverzev and Schock (2005).
The computational results provided endorse the reliability and effectiveness of our method.
American Psychological Association (APA)
George, Santhosh& Pareth, Suresan. 2012. Two-Step Modified Newton Method for Nonlinear Lavrentiev Regularization. ISRN Applied Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-493954
Modern Language Association (MLA)
George, Santhosh& Pareth, Suresan. Two-Step Modified Newton Method for Nonlinear Lavrentiev Regularization. ISRN Applied Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-493954
American Medical Association (AMA)
George, Santhosh& Pareth, Suresan. Two-Step Modified Newton Method for Nonlinear Lavrentiev Regularization. ISRN Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-493954
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493954