Parametric iterative methods of second-order for solving nonlinear equation

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摘要

Two new three-parametric methods of second-order without derivatives are presented for solving the nonlinear equation; The iterative formulae based on the Liapunov method of dynamic system are deduced and their convergence is provided. Finally, some numerical experiments show the feasibility of the above methods.

论文关键词:Nonlinear equation,Iterative method,Liapunov method,Newton method

论文评审过程:Available online 23 June 2005.

论文官网地址:https://doi.org/10.1016/j.amc.2005.04.033