A one-parameter family of second-order iteration methods

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摘要

A new one-parameter family of iteration methods for finding simple roots of nonlinear equations is developed. Error analysis providing the second-order convergence is given. Numerical experience shows that the method is comparable to the well-known Newton’s method.

论文关键词:Nonlinear equations,Newton’s method,Root finding,Order of convergence

论文评审过程:Available online 27 September 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2006.07.140