NONSMOOTHNESS AND QUASIDIFFERENTIABILITY.

V. F. Demyanov, L. N. Polyakova, A. M. Rubinov

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Abstract

It is first shown that quasidifferentiable functions form a very distinct class of nondifferentiable functions. It is demonstrated that we do not need to consider any other class of nonsmooth functions, at least from the point of view of first-order approximation. The heart of quasidifferential calculus is the concept of a quasidifferential - this replaces the concept of a gradient in the smooth case and that of a subdifferential in the convex case.

Original languageEnglish
Pages (from-to)1-19
Number of pages19
JournalMathematical Programming Study
Issue number29
Publication statusPublished - 1 May 1986

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Scopus subject areas

  • Engineering(all)

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