Author:
Argyros Ioannis K.,Hilout Saïd
Abstract
We introduce the new idea of recurrent functions to provide a new semilocal convergence analysis for Steffensen-type methods (STM) in a Banach space setting. It turns out that our sufficient convergence conditions are weaker, and the error bounds are tighter than in earlier studies in many interesting cases[1]-[5], [12], [14]-[17], [23], [24], [26]. Applications and numerical examples, involving a nonlinear integral equation of Chandrasekhar-type, and a differential equation are also provided in this study.
Publisher
Academia Romana Filiala Cluj
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis,Mathematics (miscellaneous)
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