| 同时求解多项式所有零点的改进Halley法 |
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| 引用本文： | 黄清龙. 同时求解多项式所有零点的改进Halley法[J]. 江苏石油化工学院学报, 2009, 0(1): 73-75 |
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| 作者姓名： | 黄清龙 |
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| 作者单位： | 江苏工业学院数理学院; |
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| 摘 要： | 讨论一个同时求解多项式所有零点的改进的Halley迭代法。证明了新方法的收敛性，获得了更高的收敛速度，效率分析表明改进后的方法更有效，而且数值例子的结果是满意的。
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| 关 键 词： | 多项式零点 并行Halley迭代法 收敛性 效率 |
Modified Halley Iteration Method for Simultaneously Finding Polynomial Zeros |
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| HUANG Qing-long. Modified Halley Iteration Method for Simultaneously Finding Polynomial Zeros[J]. Journal of Jiangsu Institute of Petrochemical Technology, 2009, 0(1): 73-75 |
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| Authors: | HUANG Qing-long |
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| Affiliation: | School of Physics and Mathematics;Jiangsu Polytechnic University;Changzhou 213164;China |
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| Abstract: | A modified parallel Halley iteration method for simultaneously finding polynomial zeros is discussed.The convergence and the convergence rate with high order are obtained.The efficiency analysis shows that the modified method constructed in this paper is more efficient than the old one.Numerical results are satisfactory. |
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| Keywords: | polynomial zeros parallel Halley method convergence efficiency |
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