Ball comparison of three methods of convergence order six under the same set of conditions

Authors

  • I. Argyros Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA
  • S. George Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, India-575 025

Abstract

The aim of this paper is to compare the convergence radii of three methods of convergence order six under the same conditions. Moreover, we expand the applicability of these methods using only the first derivative in contrast to earlier works using hypotheses on derivatives up to order seven although these derivatives do not appear in the methods. Numerical examples complete this study.

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Published

2018-12-31

How to Cite

Argyros, I., & George, S. (2018). Ball comparison of three methods of convergence order six under the same set of conditions. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 9(2), 129-138. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/536

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Section

Research Article

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