论文标题

用遗传算法和牛顿的方法解决非线性方程的求解系统

Solving System of Nonlinear Equations with the Genetic Algorithm and Newton's Method

论文作者

Koshikawa, Ryuji, Terui, Akira, Mikawa, Masahiko

论文摘要

介绍了遗传算法和牛顿方法解决非线性方程系统的实现和应用。该方法首先使用遗传算法的鲁棒性的优势来猜测根的粗糙位置,然后利用牛顿方法的良好收敛速度的优势。该方法在小行星勘探中提出的多个小型流浪者的定位问题有效应用。

An implementation and an application of the combination of the genetic algorithm and Newton's method for solving a system of nonlinear equations is presented. The method first uses the advantage of the robustness of the genetic algorithm for guessing the rough location of the roots, then it uses the advantage of a good rate of convergence of Newton's method. An effective application of the method for the positioning problem of multiple small rovers proposed for the use in asteroid exploration is shown.

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