@article{Ujvári_2016, title={On the Projection onto a Finitely Generated Cone}, volume={22}, url={https://cyber.bibl.u-szeged.hu/index.php/actcybern/article/view/3901}, DOI={10.14232/actacyb.22.3.2016.7}, abstractNote={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.}, number={3}, journal={Acta Cybernetica}, author={Ujvári, Miklós}, year={2016}, month={Jan.}, pages={657-672} }