| 两个同时求多项式零点的3阶Newton型迭代法 |
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| 引用本文： | 罗文,张昕.两个同时求多项式零点的3阶Newton型迭代法[J].岳阳师范学院学报,2013(4):8-12,17. |
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| 作者姓名： | 罗文 张昕 |
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| 作者单位： | 华南农业大学理学院,广州510642 |
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| 摘 要： | 构造了两个同时求多项式零点的Newton型并行迭代法，同时证明它们的收敛性，证明其收敛阶为3，并讨论其初始条件，最后给出数值例子．
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| 关 键 词： | 多项式零点 迭代法 收敛阶 初始条件 |
Two New Third-order Newton-like Method for Solving a Polynomial |
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| LUO Wen,ZHANG Xin.Two New Third-order Newton-like Method for Solving a Polynomial[J].Journal of Yueyang Normal University,2013(4):8-12,17. |
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| Authors: | LUO Wen ZHANG Xin |
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| Institution: | (College of Sciences, South China Agricultural University, Guangzhou 510642, China) |
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| Abstract: | Two new methods with the order 3 for simultaneously finding all zeros of an algebraic polynomial are proposed. Convergence analysis and the initial condition of the presented methods are preformed. One numerical example is presented to demonstrate convergence properties of this iterative method later. |
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| Keywords: | zeros of polynomial iterative method order of convergence initial conditions for convergence |
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