Approximating Clarke’s subgradients of semismooth functions by divided differences |
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| Authors: | Marcin Studniarski El Desouky Rahmo |
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| Institution: | (1) Faculty of Mathematics, University of Łódź, ul. S. Banacha 22, 90-238 Łódź, Poland;(2) Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt |
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| Abstract: | We show that the algorithm presented in an earlier paper by Studniarski (Numer. Math., 55:685–693, 1989) can be applied, after only a small modification, to approximate numerically Clarke’s subgradients of semismooth functions
of two variables. Results of computational testing of this modified algorithm are also reported.
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| Keywords: | nondifferentiable functions semismoothness Clarke’ s subgradients numerical approximations |
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