On the Projection onto a Finitely Generated Cone

  • Miklós Ujvári


In the paper we study the properties of the projection onto a finitely generated cone. We show that this map is made up of finitely many linear parts with a structure resembling the facial structure of the finitely generated cone. An economical (regarding storage) algorithm is also presented for calculating the projection of a fixed vector, based on Lemke's algorithm to solve a linear complementarity problem. Some remarks on the conical inverse (a generalization of the Moore-Penrose generalized inverse) conclude the paper.


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How to Cite
Ujvári, M. (2016). On the Projection onto a Finitely Generated Cone. Acta Cybernetica, 22(3), 657-672. https://doi.org/10.14232/actacyb.22.3.2016.7
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