Abstract:A.\ Cordero et.\ al (2010) considered a modified Newton-Jarratt's composition to solve nonlinear equations. In this study, using decomposition technique under weaker assumptions we extend the applicability of this method. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study.
Keywords: Newton-Jarratt's method; radius of convergence; local convergence; decomposition techniques; restricted convergence domain
DOI: DOI 10.14712/1213-7243.2019.005
AMS Subject Classification: 65D10 65D99 65J20 49M15 74G20 41A25