Please use this identifier to cite or link to this item: https://idr.nitk.ac.in/jspui/handle/123456789/11558
Title: Improved local convergence for Euler Halley-like methods with a parameter
Authors: Argyros, I.K.
George, S.
Issue Date: 2016
Citation: Rendiconti del Circolo Matematico di Palermo, 2016, Vol.65, 1, pp.87-96
Abstract: We present a local convergence analysis for Euler Halley-like methods with a parameter in order to approximate a locally unique solution of an equation in a Banach space setting. Using more flexible Lipschitz-type hypotheses than in earlier studies such as Huang and Ma (Numer Algorith 52:419 433, 2009), we obtain a larger radius of convergence as well as more precise error estimates on the distances involved. Numerical examples justify our theoretical results. 2015, Springer-Verlag Italia.
URI: http://idr.nitk.ac.in/jspui/handle/123456789/11558
Appears in Collections:1. Journal Articles

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