Iterative methods of order four and five for systems of nonlinear equations

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摘要

The Adomian decomposition is used in order to obtain a family of methods to solve systems of nonlinear equations. The order of convergence of these methods is proved to be p≥2, under the same conditions as the classical Newton method. Also, numerical examples will confirm the theoretical results.

论文关键词：Nonlinear systems,Adomian decomposition,The Newton method,Fixed point iteration,Convergence order

论文评审过程：Received 24 July 2008, Revised 27 March 2009, Available online 4 May 2009.

论文官网地址：https://doi.org/10.1016/j.cam.2009.04.015