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用个体独立优化进化策略求非线性方程的近似根
Application individual independent optimization evolutionary strategies to solve approximate solutions of nonlinear equations
【摘要】 简要介绍进化策略的基本原理和基本技术,在此基础上,提出一种基于(1+1)-ES的新型个体独立优化进化策略算法,并应用于求解非线性方程,利用该算法可获得任意给定所求非线性方程的近似根。相比传统的求解方法,克服了传统方法所存在的误差累积、一次只能求出一个根等缺陷。实验结果表明,该方法是有效可行的,其目的为求非线性方程近似根提供一新方法,由于数学物理中许多问题常常归结为求解非线性方程,因此,该方法将在科学工程计算等领域有着广泛地应用。
【Abstract】 The evolutionary strategies of basic principle and technology are introduced.The individual independent optimization evolu-tionary strategies algorithm is proposed based on(1+1)-ES,which is used solutions of nonlinear equations.By using of this algorithm,a nonlinear equation is solved.Compared with the traditional ways of solving the approximate solutions of nonlinear equations,its ad-vantages are shown by some examples;some defects of traditional ways are overcome.Owing to many of problems in mathematics physics are sum up solving nonlinear equation.So,it is used extensive in science engineering computer fields.
【Key words】 individual independent optimization evolutionary strategies; distance-points; remembering(1+1)-ES; nonlinear equations; approximation root;
- 【文献出处】 计算机工程与设计 ,Computer Engineering and Design , 编辑部邮箱 ,2006年20期
- 【分类号】O241.8
- 【下载频次】84