Efficient high-order methods based on golden ratio for nonlinear system

Autores UPV
Año
Revista APPLIED MATHEMATICS AND COMPUTATION

Abstract

We derive new iterative methods with order of convergence four or higher, for solving nonlinear systems, by composing iteratively golden ratio methods with a modified Newton's method. We use different efficiency indices in order to compare the new methods with other ones and present several numerical tests which confirm the theoretical results. © 2010 Elsevier Inc. All rights reserved.