一类全局优化问题的区间斜率算法  

AN INTERVAL SLOPE ALGORITHM FOR GLOBAL OPTIMIZATION

作　　者：申培萍[1] 张可村[1] 

机构地区：[1]西安交通大学理学院

出　　处：《高等学校计算数学学报》2003年第3期235-244,共10页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金(69874010);河南省高校青年骨干教师资助计划

摘　　要：1引言 考虑下面的全局优化问题:Based on the interval analysis, an interval slope algorithm is developed for finding all global minimizers of a multi-peak function / on a closed domain, which is given by interval slope discard tests and interval inclusions of relational functions. Numerical results of many typical test functions show that this method is practical and effective.

关 键 词：全局优化问题 区间斜率算法 多峰函数 区间扩展 删除原则 全局极小点 LIPSCHITZ常数 

分 类 号：O221[理学—运筹学与控制论] O24[理学—数学]