Computing

, Volume 92, Issue 2, pp 169–179

Derivative free algorithm for solving nonlinear equations

Article

DOI: 10.1007/s00607-010-0135-7

Cite this article as:
Khattri, S.K. & Log, T. Computing (2011) 92: 169. doi:10.1007/s00607-010-0135-7

Abstract

In this work, we develop a simple yet practical algorithm for constructing derivative free iterative methods of higher convergence orders. The algorithm can be easily implemented in software packages for achieving desired convergence orders. Convergence analysis shows that the algorithm can develop methods of various convergence orders which is also supported through the numerical work. Computational results ascertain that the developed algorithm is efficient and demonstrate equal or better performance as compared with other well known methods.

Keywords

Iterative methodsHigher orderNewtonConvergenceAlgorithmSoftwareDerivative free

Mathematics Subject Classification (2000)

65D9965H0565D0541A2565Bxx

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Department of EngineeringStord Haugesund University CollegeHaugesundNorway