A new fourth-order iterative method for finding multiple roots of nonlinear equations

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摘要

In this paper, we present a new fourth-order method for finding multiple roots of nonlinear equations. It requires one evaluation of the function and two of its first derivative per iteration. Finally, some numerical examples are given to show the performance of the presented method compared with some known third-order methods.

论文关键词：Jarratt method,Multiple roots,Nonlinear equations,Iterative methods,Root finding

论文评审过程：Available online 4 July 2009.

论文官网地址：https://doi.org/10.1016/j.amc.2009.06.065