A family of multi-point iterative methods for solving systems of nonlinear equations
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摘要
We extend to n-dimensional case a known multi-point family of iterative methods for solving nonlinear equations. This family includes as particular cases some well known and also some new methods. The main advantage of these methods is they have order three or four and they do not require the evaluation of any second or higher order Fréchet derivatives. A local convergence analysis and numerical examples are provided.
论文关键词:65H05,Nonlinear equation,Iterative method,Order of convergence,Chebyshev–Halley family
论文评审过程:Received 21 April 2007, Revised 24 October 2007, Available online 1 November 2007.
论文官网地址:https://doi.org/10.1016/j.cam.2007.10.054