| 一类解非线性方程的不需要计算导数的新方法 |
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| 引用本文： | 龙爱芳,胡军浩.一类解非线性方程的不需要计算导数的新方法[J].哈尔滨工业大学学报,2009,41(1):226-228. |
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| 作者姓名： | 龙爱芳 胡军浩 |
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| 作者单位： | 龙爱芳,LONG Ai-fang(中南民族大学计算机科学学院,武汉,430074);胡军浩,HU Jun-hao(华中科技大学控制科学与工程系,武汉,430074)
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| 摘 要： | 为解决Newton迭代法求非线性方程数值解时必须提供一阶导数值的问题,提出了一个新的迭代方法,该方法不需提供导数值而只需计算函数值,且具有p=1.839的收敛阶,因而是一个收敛速度快且不需要计算导数值的迭代方法.最后给出了数值试验,计算结果表明,该方法是非常有效的.
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| 关 键 词： | 牛顿法 迭代 收敛阶 |
A new method for solving nonlinear equation without derivative calculation |
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| LONG Ai-fang,HU Jun-hao.A new method for solving nonlinear equation without derivative calculation[J].Journal of Harbin Institute of Technology,2009,41(1):226-228. |
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| Authors: | LONG Ai-fang HU Jun-hao |
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| Affiliation: | 1.College of Computer Science,South-central University for Nationality,Wuhan 430074,China;2.Dept.of Control Science and Engineering,Huazhong University of Science and Technology,Wuhan 430074,China) |
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| Abstract: | Aimed at the calculation complexity of Newton iterative method for solving nonlinear equation,a new iterative method with higher convergence rate and without derivative calculation is presented in this paper.Its convergence rate p is 1.839 and it doesn’t need to calculate derivative.The numerical experient is given,and the calculation result shows that this method is effective. |
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| Keywords: | Newton method iteration order of convergence |
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