| 求多项式全部零点的快速并行Halley算法 |
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| 引用本文： | 王秋华,张新东.求多项式全部零点的快速并行Halley算法[J].山东大学学报(理学版),2007,42(11):114-120. |
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| 作者姓名： | 王秋华 张新东 |
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| 作者单位： | 新疆大学,数学与系统科学学院,新疆,乌鲁木齐,830046;新疆大学,数学与系统科学学院,新疆,乌鲁木齐,830046 |
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| 摘 要： | 在Halley圆盘迭代法的基础上,用圆盘算术构造了一种求多项式全部零点的快速并行Halley算法,并在与Halley迭代法相同的条件下建立了其收敛性定理, 该算法取得了10阶收敛速度。
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| 关 键 词： | 迭代 多项式 全部零点 圆盘迭代 |
| 文章编号： | 1671-9352（2007）11-0114-07 |
| 收稿时间： | 2007-01-15 |
The fast and parallel Halley algorithm for finding all zeros of a polynomial |
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| WANG Qiu-hua,ZHANG Xing-dong.The fast and parallel Halley algorithm for finding all zeros of a polynomial[J].Journal of Shandong University,2007,42(11):114-120. |
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| Authors: | WANG Qiu-hua ZHANG Xing-dong |
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| Institution: | College of Mathmatics and System Sciences, Xinjiang University, Urumqi 830046, Sinkiang, China |
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| Abstract: | Based on the Halley cicular iteration method, a fast Halley algorithm was constructed by cicular arithmetic for finding all zeros of a polynomial, and the convergence rate was established trader the same condition as that for the Halley iteration method, the convergence rate of 10 order was obtained. |
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| Keywords: | iteration polynomial all zeros Halley circular iteration |
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