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Mathematics of Operations Research 34, Issue 2 (2009) 303-319
Penalty and Smoothing Methods for Convex Semi-Infinite Programming
Alfred Auslender 1, Miguel A. Goberna, Marco A. López 2
(03/2009)

In this paper we consider min-max convex semi-infinite programming. To solve these problems we introduce a unified framework concerning Remez-type algorithms and integral methods coupled with penalty and smoothing methods. This framework subsumes well-known classical algorithms, but also provides some new methods with interesting properties. Convergence of the primal and dual sequences are proved under minimal assumptions.
1 :  Institut Camille Jordan (ICJ)
CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon
2 :  CICATA-Altamira
National Polytechnique Institute
Mathématiques/Optimisation et contrôle
convex semi-infinite programming – asymptotic functions – penalty methods – smoothing methods – duality