On a family of second-derivative-free variants of Chebyshev’s method
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摘要
In this paper, we present a family of new second-derivative-free variants of Chebyshev’s method, in which f′(x) = 0 in some points is permitted. Analysis of convergence shows that the new methods are cubically convergent. Analysis of efficiency, in term of function evaluations, shows that the new methods have the great practical utility, which is demonstrated by numerical examples.
论文关键词：Chebyshev’s method,Newton’s method,Third-order convergence,Non-linear equations,Root-finding,Iterative method
论文评审过程：Available online 22 March 2006.
论文官网地址：https://doi.org/10.1016/j.amc.2006.01.075
