Titlebook: Quasidifferential Calculus; V. F. Demyanov,L. C. W. Dixon Book 1986Latest edition Springer-Verlag Berlin Heidelberg 1986 differential calc

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Springer-Verlag Berlin Heidelberg 1986

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Quasidifferential Calculus978-3-642-00929-7Series ISSN 0303-3929 Series E-ISSN 2364-8201

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0303-3929 Overview: 978-3-642-00929-7Series ISSN 0303-3929 Series E-ISSN 2364-8201

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https://doi.org/10.1007/BFb0121132differential calculus

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On the minimization of a quasidifferentiable function subject to equality-type quasidifferentiable This paper considers the problem of minimizing a quasidifferentiable function on a set described by equality-type quasidifferentiable constraints. Necessary conditions for a minimum are derived under regularity conditions which represent a generalization of the well-known Kuhn-Tucker regularity conditions.

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An algorithm for minimizing a certain class of quasidifferentiable functions,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).