doi: 10.7763/IJAPM.2013.V3.198
On Improving the Semi-Local Convergence of Newton-Type Projection Method for Ill-Posed Hammerstein Type Operator Equations
Monnanda Erappa Shobha
- the Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, Surathkal, India-575025
Abstract
A Two Step Newton-Tikhonov Projection method is presented for obtaining a stable approximate solution of nonlinear ill-posed Hammerstein type operator equations KF(x) =f. The regularization parameter is chosen according to the adaptive parameter choice strategy suggested by Perverzev and Schock (2005). The error estimates obtained with respect to the general source conditions are of optimal order. We also give the numerical example which confirms the efficiency of the proposed method.
Keywords
- Adaptive method
- discretized newton tikhonov method
- hammerstein operators
- monotone operator
- regularization
How to Cite
Monnanda Erappa Shobha, "On Improving the Semi-Local Convergence of Newton-Type Projection Method for Ill-Posed Hammerstein Type Operator Equations," International Journal of Applied Physics and Mathematics, vol. 3, no. 3, pp. 161-166, 2013. https://doi.org/ 10.7763/IJAPM.2013.V3.198
Copyright & License
Copyright © 2013 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).