Argyros, I.K.George, S.2026-02-052016Applied Mathematics Letters, 2016, 55, , pp. 49-538939659https://doi.org/10.1016/j.aml.2015.12.003https://idr.nitk.ac.in/handle/123456789/26011We improve local convergence results for Newton's method by defining a more precise domain where the Newton iterates lie than in earlier studies using Dennis and Schnabel-type techniques. A numerical example is presented to show that the new convergence radii are larger and new error bounds are more precise than the earlier ones. © 2015 Elsevier Ltd. All rights reserved.Error analysisDennis and SchnabelError boundLocal ConvergenceNewton's methodsOrder of convergenceNewton-Raphson method