A class of optimal eighth-order Steffensen-type iterative methods for solving nonlinear equations and their basins of attraction

2014/04/11 by Singh, Anuradha, Jaiswal, J. P.
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1404.3053

Abstract

This article concerned with the issue of solving a nonlinear equation with the help of iterative method where no any derivative evaluation is required per iteration. Therefore, this work contributes to a new class of optimal eighth-order Steffensen-type methods. Theoretical proof has been given to reveal the eighth-order convergence. Numerical comparisons have been carried out to show the effectiveness of contributed scheme.

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