| 一种新的改进Newton法(英文) |
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| 引用本文： | 苏岐芳.一种新的改进Newton法(英文)[J].数学杂志,2010,30(3). |
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| 作者姓名： | 苏岐芳 |
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| 作者单位： | 台州学院数学与信息工程学院,浙江,临海,317000 |
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| 基金项目： | Supported by the Department of Education of Zhejiang Province(20070509); the Research Project of the Higher Education Teaching Reform in the New Century 2008 Zhejiang(yb08072) |
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| 摘 要： | 本文给出了求解非线性方程的一种新的改进方法.利用Newton法和Heron平均,将新改进方法与其它一些迭代法作比较.数值结果表明该方法具有一定的实用价值.
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| 关 键 词： | 牛顿法 Heron平均 收敛阶 渐近误差常数 |
A NEW VARIANT OF NEWTON'S METHOD |
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| SU Qi-fang.A NEW VARIANT OF NEWTON'S METHOD[J].Journal of Mathematics,2010,30(3). |
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| Authors: | SU Qi-fang |
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| Institution: | SU Qi-fang (College of Math., Information Engineering,Taizhou University,Linhai 317000,China) |
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| Abstract: | In this article,we present a new modification method to solve non-linear equations. By the composition of Newton's method and Heron mean,we have compared this modified method with some other iterative methods,which shows that this new iterative method is robust and efficient.Numerical results show that the method has practical utility. |
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| Keywords: | Newton's method heron mean order of convergence asymptotic error constant |
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