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Quasidifferential Calculus pp 108–117Cite as

Directional differentiability of a continual maximum function of quasidifferentiable functions

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Part of the book series: Mathematical Programming Studies ((MATHPROGRAMM,volume 29))

Abstract

The problem of the directional differentiability of a maximum function over a continual set of quasidifferentiable functions is discussed. A formula for the directional derivative such a maximum function is obtained. It is shown that the function is not necessarily quasidifferentiable any more. An illustrative example is provided.

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References

  1. V.F. Demyanov, Minimax: Directional differentiability (in Russian) (Leningrad University Press, Leningrad, 1974).

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Authors and Affiliations

  1. Department of Applied Mathematics, Leningrad State University, Universitetskaya Naberezhnaya 7/9, 199164, Leningrad, USSR

    V. F. Demyanov & I. S. Zabrodin

  2. International Institute for Applied Systems Analysis (IIASA), A-2361, Laxenburg, Austria

    V. F. Demyanov

Authors
  1. V. F. Demyanov
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  2. I. S. Zabrodin
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Editor information

V. F. Demyanov L. C. W. Dixon

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© 1986 The Mathematical Programming Society, Inc.

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Demyanov, V.F., Zabrodin, I.S. (1986). Directional differentiability of a continual maximum function of quasidifferentiable functions. In: Demyanov, V.F., Dixon, L.C.W. (eds) Quasidifferential Calculus. Mathematical Programming Studies, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0121141

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  • DOI: https://doi.org/10.1007/BFb0121141

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00928-0

  • Online ISBN: 978-3-642-00929-7

  • eBook Packages: Springer Book Archive

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