| 并行迭代的高阶加速方法 |
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| 引用本文： | 吴迪,黄君明.并行迭代的高阶加速方法[J].浙江大学学报(理学版),2014,41(4):408-412. |
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| 作者姓名： | 吴迪 黄君明 |
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| 作者单位： | 浙江大学数学系;山东诸城第一中学;杭州财税会计学校; |
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| 基金项目： | 国家自然科学基金资助项目(10204018) |
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| 摘 要： | 从4阶收敛的并行迭代公式出发,利用并行加速技巧构造了一个5阶收敛的并行迭代算法,并进行了收敛性分析,通过数值实验验证了算法的高速收敛性.
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| 关 键 词： | 多项式方程 并行迭代法 收敛性 初始条件 |
| 收稿时间： | 2013-08-08; |
The high order acceleration of simultaneous iterative method |
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| WU Di,HUANG Junming.The high order acceleration of simultaneous iterative method[J].Journal of Zhejiang University(Sciences Edition),2014,41(4):408-412. |
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| Authors: | WU Di HUANG Junming |
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| Institution: | WU Di , HUANG Junming (1. Department of Mathematics, Zhejiang University, Hangzhou 310027, China; 2. Zhucheng No. 1 Middle School of Shandong , Zhucheng 262200, Shandong Province, China ; 3. Hangzhou Tax Accounting School, Hangzhou 310012, China) |
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| Abstract: | Simultaneous iteration is an effective method for solving nonlinear algebraic equations. Based on a simulta- neous iteration of fourth order, we construct a new simultaneous iterative method with five order convergence and discuss the convergence of this method. Initial conditions and numerical examples are given. |
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| Keywords: | polynomial equations simultaneous iterative methods convergence initial conditions |
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