Local convergence of two competing third order methods in Banach space
Volume 41 / 2014
Applicationes Mathematicae 41 (2014), 341-350
MSC: 65D10, 65D99, 65G99, 47H17, 49M15.
DOI: 10.4064/am41-4-5
Abstract
We present a local convergence analysis for two popular third order methods of approximating a solution of a nonlinear equation in a Banach space setting. The convergence ball and error estimates are given for both methods under the same conditions. A comparison is given between the two methods, as well as numerical examples.
