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Nondifferentiable Optimization: Motivations and Applications pp 8–24Cite as

Miscellanies on Nonsmooth Analysis and Optimization

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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 255))

Abstract

People who work in the area of research concerned with the analysis and optimization of novsmooth functions know they now have a panoply of “generalized subdifferentials” or “generalized gradients” at their disposal to treat optimization problems with nonsmooth data. In this short paper, which we wanted largely introductory, we develop some basic ideas about how nonsmoothness is handled by the various concepts introduced in the past decade.

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Author information

Authors and Affiliations

  1. Paul Sabatier University, 118 route de Narbonne, 31062, Toulouse, France

    J.-B. Hiriart-Urruty

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  1. J.-B. Hiriart-Urruty
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Editor information

Editors and Affiliations

  1. International Institute for Applied Systems Analysis, Schlossplatz 1, A-2361, Laxenburg, Austria

    Vladimir F. Demyanov

  2. Applied Mathematical Department, Leningrad University, Leningrad, USSR

    Vladimir F. Demyanov

  3. Institut für Statistik und Mathematische Wirtschaftstheorie, Universität Karlsruhe, Postfach 6380, D-7500, Karlsruhe 1, Germany

    Diethard Pallaschke

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Hiriart-Urruty, JB. (1985). Miscellanies on Nonsmooth Analysis and Optimization. In: Demyanov, V.F., Pallaschke, D. (eds) Nondifferentiable Optimization: Motivations and Applications. Lecture Notes in Economics and Mathematical Systems, vol 255. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12603-5_2

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  • DOI: https://doi.org/10.1007/978-3-662-12603-5_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15979-7

  • Online ISBN: 978-3-662-12603-5

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