A Spline Smoothing Newton Method for Semi-Infinite Minimax Problems

Li Dong, Bo Yu and Yu Xiao

Journal of Applied Mathematics, 2014, vol. 2014, 1-7

Abstract:

Based on discretization methods for solving semi-infinite programming problems, this paper presents a spline smoothing Newton method for semi-infinite minimax problems. The spline smoothing technique uses a smooth cubic spline instead of max function and only few components in the max function are computed; that is, it introduces an active set technique, so it is more efficient for solving large-scale minimax problems arising from the discretization of semi-infinite minimax problems. Numerical tests show that the new method is very efficient.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:852074

DOI: 10.1155/2014/852074

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