Please use this identifier to cite or link to this item:
https://idr.nitk.ac.in/jspui/handle/123456789/11227
Title: | Extended Newton-type iteration for nonlinear ill-posed equations in Banach space |
Authors: | Sreedeep, C.D. George, S. Argyros, I.K. |
Issue Date: | 2019 |
Citation: | Journal of Applied Mathematics and Computing, 2019, Vol.60, pp.435-453 |
Abstract: | In this paper, we study nonlinear ill-posed equations involving m-accretive mappings in Banach spaces. We produce an extended Newton-type iterative scheme that converges cubically to the solution which uses assumptions only on the first Fr chet derivative of the operator. Using general H lder type source condition we obtain an error estimate. We also use the adaptive parameter choice strategy proposed by Pereverzev and Schock (SIAM J Numer Anal 43(5):2060 2076, 2005) for choosing the regularization parameter. 2018, Korean Society for Computational and Applied Mathematics. |
URI: | http://idr.nitk.ac.in/jspui/handle/123456789/11227 |
Appears in Collections: | 1. Journal Articles |
Files in This Item:
File | Description | Size | Format | |
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33.Extended Newton-type.pdf | 467.65 kB | Adobe PDF | View/Open |
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