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论文类型：期刊论文

发表时间：2015-08-01

发表刊物：4th International Conference on Numerical Algebra and Scientific Computing (NASC)

收录刊物：SCIE、EI、CPCI-S、Scopus

卷号：93

期号：1,SI

页面范围：145-158

ISSN号：0022-0833

关键字：Cubic spline; Finite minimax problem; Smoothing technique; Stabilized Newton method

摘要：A spline smoothing stabilized Newton method for finite minimax problems is developed. The spline smoothing technique uses a smooth cubic spline instead of a max function, and, at any fixed point, only a few components of the max function are involved; i.e., it introduces an active set technique, so the proposed method is more efficient for minimizing the maximum function of a large number of complicated functions. Some numerical results comparisons with other methods are also given to show the efficiency of the new method.