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An algorithm for minimizing a certain class of quasidifferentiable functions

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Book cover Quasidifferential Calculus

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

Abstract

We consider the problem of minimizing a function which is a smooth composition of max-type functions. We treat this function as quasidifferentiable. A very important property of the algorithm suggested is that at each step it is necessary to consider more than one descent direction (this is due to the quasidifferentiability of the function).

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References

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

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© 1986 The Mathematical Programming Society, Inc.

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Demyanov, V.F., Gamidov, S., Sivelina, T.I. (1986). An algorithm for minimizing a certain class 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/BFb0121138

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  • DOI: https://doi.org/10.1007/BFb0121138

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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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