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.
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An erratum to this article can be found online at http://dx.doi.org/10.1007/s00607-012-0221-0.
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Khattri, S.K., Log, T. Derivative free algorithm for solving nonlinear equations. Computing 92, 169–179 (2011). https://doi.org/10.1007/s00607-010-0135-7
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DOI: https://doi.org/10.1007/s00607-010-0135-7