| 6阶收敛的牛顿迭代修正格式 |
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| 引用本文： | 王晓锋,陈静.6阶收敛的牛顿迭代修正格式[J].河南师范大学学报(自然科学版),2010,38(4). |
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| 作者姓名： | 王晓锋 陈静 |
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| 作者单位： | 1. 渤海大学,数学系,辽宁,锦州,121013
2. 河南机电高等专科学校,基础部,河南,新乡,453002 |
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| 摘 要： | 给出两种牛顿迭代法的修正格式,证明了该迭代格式是六阶收敛到单根.数值实验表明,与其它已知的牛顿迭代格式相比,该迭代格式具有一定的优越性.
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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 Sixth-order Convergence |
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| WANG Xiao-feng,Chen Jing.Variants of Newton's Iteration Method with Sixth-order Convergence[J].Journal of Henan Normal University(Natural Science),2010,38(4). |
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| Authors: | WANG Xiao-feng Chen Jing |
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| Abstract: | Two Newton's variants Iteration method are given.It is at least sixth order convergence near simple root.In the end,numerical tests show that the new variant methods have some more advantages than the other known Newton's Iteration methods. |
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| Keywords: | Newton's iteration method order of convergence numerical test |
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