Second-derivative-free variants of Cauchy’s method
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摘要
In this paper, we present some new variants of Cauchy’s method free from the second derivative for solving non-linear equations. Per iteration the new methods require two evaluations of the function and one of its first derivative. The new methods have fourth-order convergence. Numerical tests verifying the theory are also given.
论文关键词：Cauchy’s method,Newton’s method,Non-linear equations,Root-finding,Iterative method
论文评审过程：Available online 19 January 2007.
论文官网地址：https://doi.org/10.1016/j.amc.2007.01.028
