一类无约束总体极值的区间算法

申培萍; 杨守志

申培萍, 杨守志. 一类无约束总体极值的区间算法[J]. 信阳师范学院学报(自然科学版), 1998, 11(2): 127-130.

引用本文:

申培萍, 杨守志. 一类无约束总体极值的区间算法[J]. 信阳师范学院学报(自然科学版), 1998, 11(2): 127-130.

Shen Peiping, Yang Shouzhi. Interval Algorithm for a Kind of Unconstrained Global Optimization[J]. Journal of Xinyang Normal University (Natural Science Edition), 1998, 11(2): 127-130.

Citation:

Shen Peiping, Yang Shouzhi. Interval Algorithm for a Kind of Unconstrained Global Optimization[J]. Journal of Xinyang Normal University (Natural Science Edition), 1998, 11(2): 127-130.

一类无约束总体极值的区间算法

Interval Algorithm for a Kind of Unconstrained Global Optimization

摘要

摘要: 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。

Abstract: 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.

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