@article{Argyros_2017, title={Convergence of Newton’s method under the gamma condition}, volume={25}, url={https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1538}, DOI={10.4067/S0716-09172006000300006}, abstractNote={<span class="fontstyle0">We provide a semilocal as well as a local convergence analysis of Newton’s method using the gamma condition [1], [10], [11]. Using more precise majorizing sequences than before [4], [8]—[11] and under at least as weak hypotheses, we provide in the semilocal case: finer error bounds on the distances involved and an at least as precise information on the location of the solution; in the local case: a larger radius of convergence.</span>}, number={3}, journal={Proyecciones (Antofagasta, On line)}, author={Argyros, Ioannis K.}, year={2017}, month={May}, pages={293-306} }