| 非线性方程求解的新算法 |
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| 引用本文： | 危地,吴根秀.非线性方程求解的新算法[J].江西师范大学学报(自然科学版),2006,30(2):190-192. |
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| 作者姓名： | 危地 吴根秀 |
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| 作者单位： | 1. 南昌航空工业学院,信息与计算科学系,江西,南昌,330034
2. 江西师范大学,数学与信息科学学院,江西,南昌,330027 |
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| 摘 要： | 采用黄金分割思想,构造了一种非线性代数方程求解的新算法.该算法在迭代过程中不用计算导数,且至少二阶收敛.实验表明,该算法比弦割法和抛物线法的收敛速度更快.
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| 关 键 词： | 黄金分割 迭代 非线性方程求解 |
| 文章编号： | 1000-5862（2006）02-0190-03 |
| 收稿时间： | 2005-10-20 |
| 修稿时间： | 2005-10-20 |
A New Algorithm for Solusing Nonlinear Equation |
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| WEI Di,WU Gen-xiu.A New Algorithm for Solusing Nonlinear Equation[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2006,30(2):190-192. |
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| Authors: | WEI Di WU Gen-xiu |
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| Institution: | 1. Department of Information and Computational Science, Nanchang Institute of Aeronautical Technology, Nanchang 330034, China; 2. Institute of Mathematics and Informaties Science, Jiangxi Normal University, Nanehang 330027, China |
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| Abstract: | Based on the Golden division point,a new algorithm of finding roots of a nonlinear algebraic equation is given.The algorithm has advantages:no less than order-2 convergence and no need to compute derivative.The simulation results show that the convergence speed is faster by the algorithm than by the secent method as well as the parabolic method. |
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| Keywords: | golden break point iterative method solving nonlinear equation |
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