| 一个八阶收敛的修正牛顿法 |
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| 引用本文： | 许长勇,肖志华,沈栩竹.一个八阶收敛的修正牛顿法[J].唐山师范学院学报,2011,33(2):45-47. |
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| 作者姓名： | 许长勇 肖志华 沈栩竹 |
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| 作者单位： | 云南大学数学与统计学院,云南昆明,650091 |
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| 摘 要： | 给出了一个求解非线性方程的新算法,并证明了它具有八阶收敛速度。同时给出数值试验,通过与牛顿法及其他算法比较,说明了新算法具有一定的优越性。
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| 关 键 词： | 非线性方程 迭代法 收敛性 效能指数 |
A Modified Newton's Method with Eighth-Order Convergence |
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| XU Chang-yong,XIAO Zhi-hua,SHEN Xu-zhu.A Modified Newton's Method with Eighth-Order Convergence[J].Journal of Tangshan Teachers College,2011,33(2):45-47. |
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| Authors: | XU Chang-yong XIAO Zhi-hua SHEN Xu-zhu |
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| Institution: | (School of mathematics and Statistics,Yunnan Univercity,Kunming 650091,China) |
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| Abstract: | A new modified Newton’s method for solving nonlinear equations with eighth-order convergence is proposed in this paper,and the convergence is proved.Further more,the numerical tests are given and compared with Newton’s method and other iterative methods.The results show that the proposed method has some advantages. |
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| Keywords: | nonlinear equations iterative method convergence efficiency index |
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