| 罚函数与带不等式约束的总极值问题 |
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| 引用本文： | 郑权,张连生. 罚函数与带不等式约束的总极值问题[J]. 计算数学, 1980, 2(2): 146-153 |
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| 作者姓名： | 郑权 张连生 |
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| 作者单位： | 上海科大数学系(郑权)，上海科大数学系(张连生) |
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| 摘 要： | 设f(x)是n维欧氏空间R~n中有界闻区域G上的连续函数,考虑下列带不等式约束的函数极小问题: 求f(x)在G上的总极小,并满足约束x∈S,
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PENALTY FUNCTIONS AND GROBAL OPTIMIZATION PROBLEMS WITH INEQUALITY CONSTRAINTS |
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| Affiliation: | Zhen Quan;Zhang Lian-sheng Shanghai University of Sciencc and Technology |
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| Abstract: | In this paper we concerned with the global optimization problems with ine-quality constraints. The relationship between the set of global extreme points with constraintsand the set of sequential unconstrained global extreme points with penalty are discussed, wepointed out that the later is a subset of the former and gave the conditions for which bothare equal. Moreover, we suggested a nonsquential unconstrained method for searching globalextreme points with constraints This method had got applications in practice. |
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