Higher order Jarratt-like iterations for solving systems of nonlinear equations
作者：
Highlights：
• The main advantage of the proposed methods is that they work well for any value of parameter “a” in the first stage of iterations, while the existing Jarratt-like methods work only for some a=2/3, 1/2.
• To develop new methods with the highest possible order of convergence which requires the smallest possible evaluation of the function F and its derivatives and matrix inversions.
• To extend the domain of applicability of existing methods.
• From numerical results, clearly show that proposed method with the selected parameters are faster than other cases.
摘要
•The main advantage of the proposed methods is that they work well for any value of parameter “a” in the first stage of iterations, while the existing Jarratt-like methods work only for some a=2/3, 1/2.•To develop new methods with the highest possible order of convergence which requires the smallest possible evaluation of the function F and its derivatives and matrix inversions.•To extend the domain of applicability of existing methods.•From numerical results, clearly show that proposed method with the selected parameters are faster than other cases.
论文关键词：Systems of nonlinear equations,Jarratt-like methods,Order of convergence,Computational efficiency,Higher order methods
论文评审过程：Received 13 August 2020, Revised 2 November 2020, Accepted 26 November 2020, Available online 19 December 2020, Version of Record 19 December 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125849
