| 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. |
| 关键词: 史蒂芬森法 无导数 8阶收敛 |
| DOI： |
| 分类号:O241.7 |
| 基金项目:Supported by National Natural Science Foundation of China(11071033) |
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| OPTIMAL EIGHTH-ORDER STEFFENSEN TYPE METHODS FOR NONLINEAR EQUATIONS |
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WANG Xiao-feng1,2, ZHANG Tie2
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1.School of Mathematics and Physics, Bohai University, Jinzhou 121013, China;2.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. |
| Key words: Steffensen's method derivative free eighth-order convergence |
