利用改进的遗传算法求解非线性方程组
On Solution toNonlinear Equation Group by Means of Improved Genetic Algorithm
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摘要: 提出一种改进的求解非线性方程组的浮点遗传算法，算法通过把非线性方程组的求解问题转化为约束优化问题，然后将局部搜索信息引入遗传算法，通过改进的变异算子不断调整搜索区域，最终搜索到含有最优解的区域，再利用局部搜索信息提高解的精度。数值实验结果表明，改进后的浮点遗传算法具有较好的全局优化能力和局部搜索能力，且提高了求解的速度和解的精度。Abstract: An improved floating genetic algorithmhas been proposed to solvenonlinear equation group ,and-local search information been introduced into the genetic algorithm .The search regionhas continuously beenadjusted by improved operator .And the region containing the optimal solution has beenfound finally . The solution precision can be improved with local search information .The numerical experiment results show that the improved floating genetic algorithm has good local search ability and global optimization ca-pability ,and can improve the speed and accuracy of the solution .
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