| 一种修正的牛顿迭代法 |
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| 引用本文： | 王晓峰.一种修正的牛顿迭代法[J].长春理工大学学报,2010,33(1):178-179. |
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| 作者姓名： | 王晓峰 |
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| 作者单位： | 渤海大学数学系,锦州,121013 |
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| 摘 要： | 给出了牛顿迭代法的一种修正形式,并证明了当r≠1/2时修正的牛顿迭代法是二阶收敛的,当参数r=1/2时是三阶收敛的,数值实验表明,与经典牛顿迭代法相比,该修正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 |
A Variant Newton's Iteration Method |
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| WANG Xiaofeng.A Variant Newton''s Iteration Method[J].Journal of Changchun University of Science and Technology,2010,33(1):178-179. |
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| Authors: | WANG Xiaofeng |
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| Affiliation: | Department of Mathematics;Bohai University;Jinzhou 121013 |
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| Abstract: | This paper gives a variant Newton's Iteration method and proves the order convergence of the variant method .The orders of convergence of the variant method is three,when the parameter r is equal to 1/2. The orders of convergence of the variant method is two,when the parameter r is not equal to 1/2.In the end,numerical tests show that the variant method has some more advantages than the Newton's Iteration method. |
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| Keywords: | Newton's iteration method order of convergence numerical test |
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