| 修正的三阶收敛的牛顿迭代法 |
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| 引用本文： | 王晓锋. 修正的三阶收敛的牛顿迭代法[J]. 数学的实践与认识, 2010, 40(3) |
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| 作者姓名： | 王晓锋 |
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| 作者单位： | 渤海大学数学系,辽宁,锦州,121013 |
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| 摘 要： | 给出了牛顿迭代法的两种修正形式,证明了它们是三阶收敛的,数值实验表明,与其它已知的三阶收敛的牛顿迭代法相比,修正的牛顿迭代法具有一定的优势.
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| 关 键 词： | 牛顿迭代 收敛阶 数值试验 |
Variants of Newton's Iteration Method with Third-Order Convergence |
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| WANG Xiao-feng. Variants of Newton's Iteration Method with Third-Order Convergence[J]. Mathematics in Practice and Theory, 2010, 40(3) |
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| Authors: | WANG Xiao-feng |
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| Affiliation: | WANG Xiao-feng (Department of Mathematics,Bohai University,Jinzhou 121013,china) |
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| Abstract: | Two variants of Newton's Iteration method are given.The orders of convergence of the variant methods are three.In the end,numerical tests show that the variant methods have some more advantages than the other known Newton's Iteration methods with thirdorder convergence. |
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| Keywords: | Newton's iteration method order of convergence numerical test |
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