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https://idr.l3.nitk.ac.in/jspui/handle/123456789/11120
Title: | Expanding the Applicability of the Kantorovich s Theorem for Solving Generalized Equations Using Newton s Method |
Authors: | Argyros, I.K. George, S. |
Issue Date: | 2017 |
Citation: | International Journal of Applied and Computational Mathematics, 2017, Vol.3, 4, pp.3295-3304 |
Abstract: | In this paper we consider the Kantorovich s theorem for solving generalized equations F(x) + Q(x) ? 0 using Newton s method, where F is a Fr chet differentiable function and Q is a set-valued and maximal monotone function acting between Hilbert spaces. We used our new idea of restricted convergence domains to obtain better location about where the iterates are located leading to a tighter convergence analysis than in the earlier studies and under the same or less computational cost of the majorant functions involved. 2016, Springer India Pvt. Ltd. |
URI: | http://idr.nitk.ac.in/jspui/handle/123456789/11120 |
Appears in Collections: | 1. Journal Articles |
Files in This Item:
File | Description | Size | Format | |
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5.Expanding the Applicability.pdf | 541.67 kB | Adobe PDF | View/Open |
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