一种新的带有缓和项的填充函数

A Class of Filled Functions with Mitigators

研究用于求解全局极值问题的填充函数法。为了减少填充函数的Hesse阵非正定对算法的影响,本文给出了一类带缓和项的填充函数并给出相应的算法。数值结果也表明它具有较好的性质。

Several filled functions are reported to seek the global minimum of multimodal functions. This paper proposes an alternative formulation that may reduce the non-positive definite effect of the Hessian of a filled function proposed before. Furthermore, a class of mitigators is defined, which is applied to im- prove the computational characteristics of filled functions. Results of numerical experiments on testing program are also reported.