<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "Inner and outer approximation of polytopes using boxes"^^ . "This paper deals with the problem of approximating a convex polytope in any finite dimension by a collection of (hyper)boxes. More exactly, given a polytope by a system of linear inequalities, we look for two collections and of boxes with non-overlapping interiors such that the union of all boxes in  is contained in  and the union of all boxes in  contains . We propose and test several techniques to construct and aimed at getting a good balance between two contrasting objectives: minimize the volume error and minimize the total number of generated boxes. We suggest how to modify the proposed techniques in order to approximate the projection of  onto a given subspace without computing the projection explicitly."^^ . "2004-02" . "27" . "2" . . "Elsevier"^^ . . . "Computational Geometry "^^ . . . "09257721" . . . . . . . . . . . . . "Carlo"^^ . "Filippi"^^ . "Carlo Filippi"^^ . . "Fabio Danilo"^^ . "Torrisi"^^ . "Fabio Danilo Torrisi"^^ . . "Alberto"^^ . "Bemporad"^^ . "Alberto Bemporad"^^ . . . . . "HTML Summary of #470 \n\nInner and outer approximation of polytopes using boxes\n\n" . "text/html" . . . "QA Mathematics"@en . .