Inexact Newton’s Method to Nonlinear Functions with Values in a Cone Using Restricted Convergence Domains

Argyros, Ioannis K and Geroge, Santhosh and Erappa, Shobha M (2017) Inexact Newton’s Method to Nonlinear Functions with Values in a Cone Using Restricted Convergence Domains. International Journal of Applied and Computational Mathematics, 3 (1). pp. 953-959. ISSN 2349-5103

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Abstract

Using our new idea of restricted convergence domains, a robust convergence theorem for inexact Newton’s method is presented to find a solution of nonlinear inclusion problems in Banach space. Using this technique, we obtain tighter majorizing functions. Consequently, we get a larger convergence domain and tighter error bounds on the distances involved. Moreover, we obtain an at least as precise information on the location of the solution than in earlier studies. Furthermore, a numerical example is presented to show that our results apply to solve problems in cases earlier studies cannot.

Item Type: Article
Uncontrolled Keywords: Inclusion problems · Inexact Newton’s method · Restricted convergence domains · Semi-local convergen
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 02 Dec 2017 03:54
Last Modified: 02 Dec 2017 03:54
URI: http://eprints.manipal.edu/id/eprint/150097

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