无约束连续全局优化的一个无参数变换函数算法

A Parameter-free Transformation Function Algorithm for Continuously Unconstrained Global Optimization

针对无约束连续全局优化问题,提出了一个无参数变换函数,在讨论该变换函数性质的基础上,给出了求解无约束连续全局优化问题的一个无参数变换函数算法。利用Matlab编程进行了数值试验,其数值计算结果表明:该算法是可行和有效的,并且该算法能够判定原问题当前极小点的全局性及类别。

A parameter-free transformation function was proposed to solve continuously unconstrained global optimization in this paper.Based on studying its properties,a parameter-free transformation function algorithm was designed.The numerical results show that the algorithm is effective and feasible by using Matlab.And the algorithm can determine the global charactristic and its sort of the obtained local minimizer of the primary problem.