, Volume 92, Issue 2, pp 169–179

Derivative free algorithm for solving nonlinear equations


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


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.


Iterative methodsHigher orderNewtonConvergenceAlgorithmSoftwareDerivative free

Mathematics Subject Classification (2000)


Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Department of EngineeringStord Haugesund University CollegeHaugesundNorway