Modified Chebyshev–Halley methods with sixth-order convergence

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摘要

In this paper, we present a family of modified Chebyshev–Halley methods. The new methods add one evaluation of the function at the point iterated by Chebyshev–Halley methods. Analysis of convergence shows that these methods have sixth-order convergence. Numerical results show that the new methods can be of practical interest.

论文关键词：Chebyshev–Halley methods,Newton’s method,Non-linear equations,Iterative method,Root-finding

论文评审过程：Available online 13 November 2006.

论文官网地址：https://doi.org/10.1016/j.amc.2006.10.018