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On second order conditions for quasiconvexity

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Abstract

The paper presents a sufficient condition for quasiconvexity in terms of Hessian, hereby extending an earlier result by Katzner in 1970, and (by a slight modification of the assumptions) a necessary and sufficient condition for quasiconvexity.

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Authors and Affiliations

  1. Université de Clermont-Ferrand II, Aubière, France

    Jean-Pierre Crouzeix

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  1. Jean-Pierre Crouzeix
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Crouzeix, JP. On second order conditions for quasiconvexity. Mathematical Programming 18, 349–352 (1980). https://doi.org/10.1007/BF01588330

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  • DOI: https://doi.org/10.1007/BF01588330

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