Argyros, I.K.George, S.2020-03-312020-03-312016Applied Mathematics Letters, 2016, Vol.55, , pp.49-53https://idr.nitk.ac.in/handle/123456789/12347We 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.Article