Differentiability with respect to parameters of solutions to convex programming problems |
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Authors: | Kazimierz Malanowski |
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Institution: | (1) Systems Research Institute of the Polish Academy of Sciences, ul. Newelska 6, 01-447 Warszawa, Poland |
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Abstract: | We consider a family of convex programming problems that depend on a vector parameter, characterizing those values of parameters at which solutions and associated Lagrange multipliers are Gâteaux differentiable.These results are specialized to the problem of the metric projection onto a convex set. At those points where the projection mapping is not differentiable the form of Clarke's generalized derivative of this mapping is derived. |
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Keywords: | Parametric Convex Programming Differentiability of Solutions Projection onto Convex Set Clarke's Generalized Derivative |
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