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Nondifferential and Variational Techniques in Optimization pp 1–12Cite as

Characterizations of the plenary hull of the generalized Jacobian matrix

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Part of the book series: Mathematical Programming Studies ((MATHPROGRAMM,volume 17))

Abstract

The generalized Jacobian matrix of a locally Lipschitz mapping is a set of matrices which plays a role similar to that of the Jacobian matrix for differentiable mappings. In this paper we give various characterizations of the plenary hull of the generalized Jacobian matrix by considering its support bifunction, a concept which plays a role similar to that of the support function for generalized gradients of real-valued functions.

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Author notes

  1. J.-B. Hiriart-Urruty

    Present address: Université Paul Sabatier (Toulouse III), 118, route de Narbonne, 31062, Toulouse Cedex, France

Authors and Affiliations

  1. Département de Mathematiques Appliquées, Université de Clermont-Ferrand II, 63170, Aubiere, France

    J.-B. Hiriart-Urruty

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  1. J.-B. Hiriart-Urruty
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D. C. Sorensen R. J.- B. Wets

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© 1982 The Mathematical Programming Society, Inc.

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Hiriart-Urruty, JB. (1982). Characterizations of the plenary hull of the generalized Jacobian matrix. In: Sorensen, D.C., Wets, R.J.B. (eds) Nondifferential and Variational Techniques in Optimization. Mathematical Programming Studies, vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0120956

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  • DOI: https://doi.org/10.1007/BFb0120956

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00814-6

  • Online ISBN: 978-3-642-00815-3

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