Local convergence of a two-step Newton-secant method for equations with solutions of multiplicity greater than one

Argyros, I.K.George, S.2020-03-312020-03-312017Panamerican Mathematical Journal, 2017, Vol.27, 1, pp.15-28https://idr.nitk.ac.in/handle/123456789/11910We present the local convergence analysis of a two-step Newton-secant method in order to approximate a locally unique solution of multiplicity greater than one of a nonlinear equation. Numerical examples validating the theoretical results are also provided.Local convergence of a two-step Newton-secant method for equations with solutions of multiplicity greater than oneArticle