一类无约束总体极值的区间算法

Interval Algorithm for a Kind of Unconstrained Global Optimization

在区间分析基础上，本文对分段光滑函数定义一种特殊导数概念，利用导函数的区间扩展，给出一种求解此类无约束非光滑总体极值的区间算法。数值例子表明此类方法安全可靠，并行性强。

A interval algorithm based on the interval analysis is given for finding a global minimizer of a unconstrained optimization. This algorithm is developed by defining a special derivative to the functions and using interval extension of gradient.Numerical results show that this method is effective.