一个求解无约束优化的单参数填充函数方法

A single Parameter Filled Function Method for Unconstrained Optimization

填充函数方法是求解无约束的全局优化问题的重要方法,该方法在于构建具有性质良好、形式简单而且容易求解极小值的填充函数。文章按照填充函数的定义,构建了一个新的单参数填充函数,探究并且证明了该填充函数的填充性质和其他的必要性质。

Filled function method is an important method to solve unconstrained global optimization problems.This method is to construct a filled function with good properties,simple form and easy to solve the minimum.According to the defi nition of fi lled function,this paper constructs a new single parameter fi lled function,explores and proves the fi lled properties and other necessary properties of the fi lled function.