Enlarging the ball convergence for the modified Newton method to solve equations with solutions of multiplicity under weak conditions

Argyros, I.K.George, S.2026-02-052018Numerical Mathematics, 2018, 11, 3, pp. 506-51710048979https://doi.org/10.4208/nmtma.2017-OA-0055https://idr.nitk.ac.in/handle/123456789/25304The objective of this paper is to enlarge the ball of convergence and improve the error bounds of the modified Newton method for solving equations with solutions of multiplicity under weak conditions. © 2018 Global-Science Press.Ball convergenceDerivativeDivided differenceMultiple solutionsNewton's methodEnlarging the ball convergence for the modified Newton method to solve equations with solutions of multiplicity under weak conditions