On the convergence of a damped Newton-like method with modified right hand side vector

Ioannis K. Argyros, Alicia Cordero, Alberto Magreñán and Juan R. Torregrosa

Applied Mathematics and Computation, 2015, vol. 266, issue C, 927-936

Abstract: We present a convergence analysis for a damped Newton-like method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special case when the method is defined on Rm, our method provides computable error estimates based on the initial data. Such estimates were not given in relevant studies such as. Numerical examples further validating the theoretical results are also presented in this study.

Keywords: Damped Newton method; Banach space; Local/semi-local convergence (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:927-936

DOI: 10.1016/j.amc.2015.05.148

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