| 求解非线性方程的最优8阶史蒂芬森方法 |
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| 引用本文： | 王晓锋,张铁.求解非线性方程的最优8阶史蒂芬森方法[J].数学杂志,2014,34(2):205-213. |
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| 作者姓名： | 王晓锋 张铁 |
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| 作者单位： | 渤海大学数理学院;东北大学理学院; |
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| 基金项目： | Supported by National Natural Science Foundation of China(11071033) |
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| 摘 要： | 本文研究了非线性方程求根问题.利用权函数方法,获得了一种三步8阶收敛的史蒂芬森型方法.实验结果表明本文提出的方法计算时间少于其它同阶的最优方法.
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| 关 键 词： | 史蒂芬森法 无导数 阶收敛 |
| 收稿时间： | 2012/11/26 0:00:00 |
| 修稿时间： | 2013/7/8 0:00:00 |
OPTIMAL EIGHTH-ORDER STEFFENSEN TYPE METHODS FOR NONLINEAR EQUATIONS |
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| WANG Xiao-feng and ZHANG Tie.OPTIMAL EIGHTH-ORDER STEFFENSEN TYPE METHODS FOR NONLINEAR EQUATIONS[J].Journal of Mathematics,2014,34(2):205-213. |
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| Authors: | WANG Xiao-feng and ZHANG Tie |
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| Institution: | School of Mathematics and Physics, Bohai University, Jinzhou 121013, China;College of Sciences, Northeastern University, Shenyang 110819, China and College of Sciences, Northeastern University, Shenyang 110819, China |
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| Abstract: | In this paper, we present a family of three-step eighth-order Steffensen type meth-ods for solving nonlinear equations by using weight function methods. Numerical experiments show that these methods require less time to converge than the other optimal methods. |
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| Keywords: | Steffensen''s method derivative free eighth-order convergence |
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