A Spline Smoothing Newton Method for Semi‐Infinite Minimax Problems

Li Dong, Bo Yu and Yu Xiao

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

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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https://doi.org/10.1155/2014/852074

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:852074

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