Expanding the Applicability of High-Order Traub-Type Iterative Procedures

Sergio Amat (), Ioannis K. Argyros (), Sonia Busquier () and Saïd Hilout ()
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Sergio Amat: Universidad Politécnica de Cartagena
Ioannis K. Argyros: Cameron University
Sonia Busquier: Universidad Politécnica de Cartagena
Saïd Hilout: Poitiers University

Journal of Optimization Theory and Applications, 2014, vol. 161, issue 3, No 10, 837-852

Abstract: Abstract We propose a collection of hybrid methods combining Newton’s method with frozen derivatives and a family of high-order iterative schemes. We present semilocal convergence results for this collection on a Banach space setting. Using a more precise majorizing sequence and under the same or weaker convergence conditions than the ones in earlier studies, we expand the applicability of these iterative procedures.

Keywords: High-order iterative procedures; Banach space; Semilocal convergence; Convergence domain; Majorizing sequence (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10957-013-0440-3

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