| 三步迭代求解非线性方程组(英文) |
| |
| 引用本文： | 何翠杰,阿布都热西提·阿布都外力.三步迭代求解非线性方程组(英文)[J].新疆大学学报(理工版),2010,27(1):51-55. |
| |
| 作者姓名： | 何翠杰 阿布都热西提·阿布都外力 |
| |
| 作者单位： | 新疆大学数学与系统科学学院,新疆乌鲁木齐830046 |
| |
| 基金项目： | Supported by The National Natural Science Foundation of P.R.China(10571148); The Scientific Research Programmes of Colleges in Xinjiang(XJEDU2007102) |
| |
| 摘 要： | 本文给出求解非线性方程组具有六阶精度的三步迭代方法,理论上给予了证明。并且与Jae Heon Yun提出的有四阶精度的三步迭代方法相比有比较大的改进。最后给出数值例子,对几种不同的迭代方法进行比较,数值结果显示给出的方法与理论结果一致。
|
| 关 键 词： | 牛顿方法 非线性方程组 三步迭代方法 效率指标 |
Three-step Iterative Method for Solving Nonlinear Equations |
| |
| HE Cui-jie,Abdurishit Abduwali.Three-step Iterative Method for Solving Nonlinear Equations[J].Journal of Xinjiang University(Science & Engineering),2010,27(1):51-55. |
| |
| Authors: | HE Cui-jie Abdurishit Abduwali |
| |
| Abstract: | We proposed two three-step iteration methods for solving system of nonlinear equations and it is showed that the methods have sixth-order convergence.Compared with Jae Heon Yun.J.H.Yun,a note on three-step iterative method for nonlinear equation,Appl Math Comput,2008,202: 401-405] proposed three-step iterative method with fourth-order convergence,our methods have a significant improvement.Some numerical experiments are given to illustrate the performance of our three-step iterative method. |
| |
| Keywords: | Newton's method Nonlinear equations Three-step iterative method Efficiency index |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
