On a class of nonsmooth composite functions

We discuss in this paper a class of nonsmooth functions which can be represented, in a neighborhood of a considered point, as a composition of a positively homogeneous convex function and a smooth mapping which maps the considered point into the null vector. We argue that this is a sufficiently rich class of functions and that such functions have various properties useful for purposes of optimization.

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Preprint, School of Industrial and Systems Engineering, Georgia Institute of Technology, July, 2002.

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