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| 摘要: |
| 本文研究了非线性方程求解的问题.利用泰勒公式和耦合方法,获得了一种求解非线性方程的加速收敛的七阶迭代改进格式,该格式不需要计算高阶导数,且具有更大的收敛半径,大大提高了计算效率. |
| 关键词: 迭代法 非线性方程 扩展指数 效率指数 收敛半径 |
| DOI： |
| 分类号:O241.7 |
| 基金项目:Supported by National Natural Science Foundation of China (U1304106) |
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| A NOVEL AND PRECISE SEVENTH-ORDER NEWTON'S ITERATIVE METHOD FOR SOLVING NONLINEAR EQUATIONS |
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WANG Xiao-feng,SHI Dong-yang
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| Abstract: |
| In this paper, we study the problem of solving nonlinear equations. By using Taylor formulas and cupling method, we get a novel and robust three-step seventh-order iterative scheme. The contributed without memory method does not need to calculate higher order derivatives and has a large radius of convergence and higher efficiency of calculation. |
| Key words: iterative method nonlinear equations extended computational index efficiency index convergence radius |
