Argyros, I.K.George, S.Magreñán Ruiz, A.2026-02-052019Applied Mathematics Letters, 2019, 98, , pp. 29-358939659https://doi.org/10.1016/j.aml.2019.04.032https://idr.nitk.ac.in/handle/123456789/24275The aim of this article is to present the correct version of the main theorem 3.2 given in Guo and Duff (2011), concerning the semi-local convergence analysis of the Newton-HSS (NHSS)method for solving systems of nonlinear equations. Our analysis also includes the corrected upper bound on the initial point. © 2019Mathematical techniquesInitial pointLarge systemSemi-local convergencesSystems of nonlinear equationsUpper BoundNonlinear equationsImproved semi-local convergence of the Newton-HSS method for solving large systems of equations