三步迭代求解非线性方程组(英文)  

Three-step Iterative Method for Solving Nonlinear Equations

作　　者：何翠杰[1] 阿布都热西提.阿布都外力 

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《新疆大学学报（自然科学版）》2010年第1期51-55,共5页Journal of Xinjiang University(Natural Science Edition)

基　　金：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。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.

关 键 词：牛顿方法 非线性方程组 三步迭代方法 效率指标 

分 类 号：O241[理学—计算数学]