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新疆大学数学与系统科学学院
Published:2010
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[1]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(自然科学版),2010,27(01):51-55.
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]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2010, 27(1): 51-55.
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.
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