Semi-local convergence of a Newton-like method for solving equations with a singular derivative


Argyros, Ioannis K. and George, Santhosh


Abstract

creative_2018_27_1_01_08_abstract

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creative_2018_27_1_01_08

We present a semi-local convergence analysis for a Newton-like method to approximate solutions of equations when the derivative is not necessarily non-singular in a Banach space setting. In the special case when the equation is defined on the real line the convergence domain is improved for this method when compared to earlier results. Numerical results where earlier results cannot apply but the new results can apply to solve nonlinear equations are also presented in this study.

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Author(s)

Argyros, Ioannis K., George, S.