Modified Householder iterative method for nonlinear equations
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摘要
In this paper, we suggest and analyze a new two-step predictor–corrector type iterative method for solving nonlinear equations of the type f(x)=0. This new method includes the two-step Newton method as a special case. We show that this new two-step method is a sixth-order convergent method. Several examples are given to illustrate the efficiency of this new method and its comparison with other sixth-order methods. This method can be considered as a significant improvement of the Newton method and its variant forms.
论文关键词:Iterative method,Convergence,Newton method,Taylor series,Examples
论文评审过程:Available online 22 February 2007.
论文官网地址:https://doi.org/10.1016/j.amc.2007.02.036