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论文类型：期刊论文

发表时间：2011-10-01

发表刊物：7th International Conference on Scientific Computing and Applications

收录刊物：SCIE、EI、CPCI-S、Scopus

卷号：236

期号：5,SI

页面范围：699-703

ISSN号：0377-0427

关键字：Minimax; Spline; Uniform approximation; Morgan-Scott partition

摘要：In some optimization problems, min(f(1), ... ,f(n)) usually appears as the objective or in the constraint. These optimization problems are typically non-smooth, and so are beyond the domain of smooth optimization algorithms. In this paper, we construct smooth splines to approximate min(f(1), ... ,f(n)) uniformly so that such optimization problems can be dealt with as smooth ones. (C) 2011 Elsevier B.V. All rights reserved.