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Level sets relaxation, epigraphical relaxation and conditioning in optimization

Sophie Guillaume 1 Michel Volle 1
1 LMA - EA2151 Laboratoire de Mathématiques d'Avignon
Abstract : We provide formulas for the optimal solution set of various relaxed optimization problems. Such a set is also recaptured by using an appropriate notion of conditioning.
Keywords : Abstract convexity · Hull operators · Moreau conjugate · Regularization · Composite conjugate · Conditioning
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Journal articles
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https://hal-univ-avignon.archives-ouvertes.fr/hal-01128309
Contributor : Sophie Guillaume <>
Submitted on : Monday, March 9, 2015 - 2:59:45 PM
Last modification on : Tuesday, January 14, 2020 - 10:38:15 AM

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Sophie Guillaume, Michel Volle. Level sets relaxation, epigraphical relaxation and conditioning in optimization. Positivity, Springer Verlag, 2015, pp.10.1007/s11117-015-0327-7. ⟨10.1007/s11117-015-0327-7⟩. ⟨hal-01128309⟩

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