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Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations
Joint Authors
Jidesh, P.
Argyros, Ioannis K.
George, Santhosh
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-17
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We present a new iterative method which does not involve inversion of the operators for obtaining an approximate solution for the nonlinear ill-posed operator equation F(x)=y.
The proposed method is a modified form of Tikhonov gradient (TIGRA) method considered by Ramlau (2003).
The regularization parameter is chosen according to the balancing principle considered by Pereverzev and Schock (2005).
The error estimate is derived under a general source condition and is of optimal order.
Some numerical examples involving integral equations are also given in this paper.
American Psychological Association (APA)
Argyros, Ioannis K.& George, Santhosh& Jidesh, P.. 2014. Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations. International Journal of Mathematics and Mathematical Sciences،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-496122
Modern Language Association (MLA)
Argyros, Ioannis K.…[et al.]. Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations. International Journal of Mathematics and Mathematical Sciences No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-496122
American Medical Association (AMA)
Argyros, Ioannis K.& George, Santhosh& Jidesh, P.. Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations. International Journal of Mathematics and Mathematical Sciences. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-496122
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496122