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

Argyros, I.K.George, S.2026-02-052017Panamerican Mathematical Journal, 2017, 27, 1, pp. 15-2810649735https://idr.nitk.ac.in/handle/123456789/25786We 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 convergenceMultiplicity of solutionTwo-step Newton-Secant methodsLocal convergence of a two-step Newton-secant method for equations with solutions of multiplicity greater than one