一类非光滑总体优化的区间算法

数学季刊 ›› 1999, Vol. 14 ›› Issue (2): 63-68.

一类非光滑总体优化的区间算法

Department of Mathematics，Henan Normal University，Xinxiang，453002

收稿日期:1999-07-14 出版日期:1999-06-30 发布日期:2024-09-25
基金资助:
Supported by the Natural Science Foundation of China （69874010） and Henan Province （984050400）．

Interval Algorithm for a Kind of Nonsmooth Global Optimization

Department of Mathematics，Henan Normal University，Xinxiang，453002

Received:1999-07-14 Online:1999-06-30 Published:2024-09-25
Supported by:
Supported by the Natural Science Foundation of China （69874010） and Henan Province （984050400）．

摘要/Abstract

摘要： Based on the interval analysis，a practical interval algorithm is developed for finding all global minimizers of a nonsmooth function on a closed domain X ⊂Rⁿ，which is given by defining a special derivative to the function and using the interval inclusion of derivative．Both theoretical analysis and numerical results show that this method is practical and effective．

关键词: , global minimizer；nonsmooth function；interval algorithm

Abstract: Based on the interval analysis，a practical interval algorithm is developed for finding all global minimizers of a nonsmooth function on a closed domain X ⊂Rⁿ，which is given by defining a special derivative to the function and using the interval inclusion of derivative．Both theoretical analysis and numerical results show that this method is practical and effective．

Key words: , global minimizer；nonsmooth function；interval algorithm

中图分类号:

O221

申培萍. 一类非光滑总体优化的区间算法[J]. 数学季刊, 1999, 14(2): 63-68.

Shen Peiping . Interval Algorithm for a Kind of Nonsmooth Global Optimization[J]. Chinese Quarterly Journal of Mathematics, 1999, 14(2): 63-68.

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