Developing high order methods for the solution of systems of nonlinear equations
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摘要
Two families of order six for the solution of systems of nonlinear equations are developed and compared to existing schemes of order up to six. We have found that one of the methods in the literature has been rediscovered. The comparison is based on the total cost of an iteration and the performance on 14 examples of systems of dimensions 2–9.
论文关键词:Iterative methods,Order of convergence,Systems of equations
论文评审过程:Received 23 February 2017, Revised 15 March 2018, Accepted 12 September 2018, Available online 2 October 2018, Version of Record 2 October 2018.
论文官网地址:https://doi.org/10.1016/j.amc.2018.09.032