On the quadratic convergence of the Aitken Δ2 process
V.M. Verzhbitskii, Irina F. Yumanova · Computational Mathematics and Mathematical Physics · 2011
The Aitken Δ 2 method for finding fixed points of scalar mappings is interpreted as a modification of the Wegstein method. Based on this approach, conditions for the quadratic convergence of this method are obtained for various situations of convergence/divergence of simple iteration. An algorithm for calculating fixed points that keeps track of these situations is presented.