| 一个四阶收敛的牛顿类方法 |
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| 引用本文： | 王霞,赵玲玲.一个四阶收敛的牛顿类方法[J].数学季刊,2008,23(4). |
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| 作者姓名： | 王霞 赵玲玲 |
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| 作者单位： | Department;Mathematic;Information;Science;Zhengzhou;University;Light;Industry;Zheng;zhou;450002;China; |
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| 基金项目： | Supported by the National Science Foundation of China(10701066);;Supported by the National Foundation of the Education Department of Henan Province(2008A110022) |
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| 摘 要： | A fourth-order convergence method of solving roots for nonlinear equation,which is a variant of Newton's method given.Its convergence properties is proved.It is at least fourth-order convergence near simple roots and one order convergence near multiple roots. In the end,numerical tests are given and compared with other known Newton and Newtontype methods.The results show that the proposed method has some more advantages than others.It enriches the methods to find the roots of non-linear equations and it ...
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| 关 键 词： | 四阶收敛 牛顿类方法 非线性代数 数学测试 |
A Fourth-order Covergence Newton-type Method |
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| WANG Xia,ZHAO Ling-ling.A Fourth-order Covergence Newton-type Method[J].Chinese Quarterly Journal of Mathematics,2008,23(4). |
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| Authors: | WANG Xia ZHAO Ling-ling |
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| Institution: | Department of Mathematic and Information Science, Zhengzhou University of Light Industry, Zhengzhou 450002, China |
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| Abstract: | A fourth-order convergence method of solving roots for nonlinear equation,which is a variant of Newton's method given.Its convergence properties is proved.It is at least fourth-order convergence near simple roots and one order convergence,near multiple roots.In the end,numerical tests are given and compared with other known Newton and Newton-type methods.The results show that the proposed method has some more advantages than others.It enriches the methods to find the roots of non-linear equations and it is important in both theory and application. |
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| Keywords: | Newton iteration method root-finding method fourth-order convergence numerical test |
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