摘要
给出了一种求解非线性方程组的方法,将其转化为与之等价的无约束优化问题,采用一种改进的和声搜索算法求解。该算法嵌入了位置更新和小概率变异策略,反复调整乐队中各乐器的音调,最终达到美妙的和声状态。结果表明:该方法收敛性好,计算结果稳定。
A new method is presented for nonlinear equations.After transforming nonlinear equations into an unconstrained optimization problem,which can be solved by improved harmony search,the algorithm utilizes position updating and mutation strategy with low probability.By repeatedly adjusting the pitch of the instruments in the band,eventually harmony reaches a wonderful state of the process of sound.By solving some nonlinear equations,the results show that the method has better convergence and stability in calculation.
作者
雍龙泉
YONG Longquan(School of Mathematics and Computer Science,Shaanxi University of Technology,Hanzhong 723000,China)
出处
《重庆理工大学学报（自然科学）》
CAS
北大核心
2020年第10期231-237,共7页
Journal of Chongqing University of Technology：Natural Science
基金
国家自然科学基金项目(11401357)
陕西省青年科技新星项目(2016KJXX-95)
陕西省教育厅重点科学研究计划项目(20JS021)
陕西理工大学科研项目(SLGYQZX2002)。
关键词
非线性方程组
无约束优化
和声搜索算法
位置更新
小概率变异
nonlinear equations
unconstrained optimization
harmony search algorithm
position updating
mutation strategy with low probability
