| 改进的Euler方法应用于非线性方程求根 |
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| 引用本文： | 蔡慧萍,钱凌志. 改进的Euler方法应用于非线性方程求根[J]. 兵团教育学院学报, 2009, 19(6): 40-42 |
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| 作者姓名： | 蔡慧萍 钱凌志 |
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| 作者单位： | 石河子大学,师范学院/兵团教育学院,新疆,石河子,832003 |
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| 摘 要： | 本文通过引入动力系统，将改进的Euler方法应用于非线性方程求根问题，给出非线性方程求根的预估-再校正迭代格式，证明了该格式至少二阶收敛并可以调节参数达到超收敛。最后给出数值实验，数值结果验证了算法的有效性。
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| 关 键 词： | 改进的Euler方法 预估-再校正迭代格式 动力系统 超收敛 数值实验 |
Improved Euler Method for Solving Roots of Nonlinear Equation |
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| CAI Hui-ping,QIAN Lin-zhi. Improved Euler Method for Solving Roots of Nonlinear Equation[J]. Journal of Bingtuan Education Institute, 2009, 19(6): 40-42 |
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| Authors: | CAI Hui-ping QIAN Lin-zhi |
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| Affiliation: | CAI Hui - ping, QIAN Ling - zhi ( Normal College of Shihezi University/Bingtuan Education Institute, Shihezi, Xinjiang 832003, China) |
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| Abstract: | By Introducing the dynamic system,Improving Euler Methods are used to solve the roots of nonlinear equation, We deduce the Predict-Recorrect for solving roots of nonlinear equations to prove the quadratic convergence under weak conditions.In the end,we give the numerical experiments,and the numerical results imply the efficiency of the Predict -Recorrect Iterative methods. |
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| Keywords: | Improving Euler method Predict-Recorrect Iterative Scheme dynamic system Super convergence numerical test |
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