Ball Convergence for Steffensen-type Fourth-order Methods

We present a local convergence analysis for a family of Steffensen-type fourth-order methods in order to approximate a solution of a nonlinear equation. We use hypotheses up to the first derivative in contrast to earlier studies such as [1], [5]-[28] using hypotheses up to the fifth derivative. This...

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Bibliographic Details
Main Authors: Ioannis Argyros, Santhosh George
Format: Article
Language:English
Published: Universidad Internacional de La Rioja (UNIR) 2015-08-01
Series:International Journal of Interactive Multimedia and Artificial Intelligence
Subjects:
Online Access:http://www.ijimai.org/journal/node/805