On the local convergence and comparison between two novel eighth convergence order schemes for solving nonlinear equations

  • Samundra Regmi University of North Texas at Dallas, Dallas, TX, USA
  • Ioannis K. Argyros Cameron University, Lawton, OK 73505, USA
  • Santhosh George National Institute of Technology Karnataka, India-575 025
  • Christopher I. Argyros Cameron University, Lawton, OK 73505, USA

Abstract

We compare two eighth order schemes for solving nonlinear equations involving Banach space valued equations. This is done by using assumptions only on the first derivative that does appear on the schemes, whereas in earlier works up to the ninth derivative (not on the scheme) are used to establish the convergence. Our technique is so general that it can be used to extend the usage of other schemes along the same lines.

Published
2021-11-23