On generalized gradients |
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Authors: | P Recht |
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Institution: | (1) Institute of Statistics and Mathematical Economics, University of Karlsruhe, P.O.Box 6980, D-7500 Karlsruhe, Germany |
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Abstract: | In this paper we present a concept of the construction of generalized gradients by considering a development of directional derivatives into spherical harmonics. This leads to a derivation system as a system of generalized partial derivatives. Necessary conditions for local extrema for a broad class of not necessarily differentiable function can be given and a characterization of points of differentiability can be proved by using generalized gradients. |
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Keywords: | Generalized Gradients Nondifferentiable functions |
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