Ujvári Miklós: On the projection onto a finitely generated cone. In: Acta cybernetica, (22) 3. pp. 657-672. (2016)
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Abstract
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.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta cybernetica |
| Date: | 2016 |
| Volume: | 22 |
| Number: | 3 |
| ISSN: | 0324-721X |
| Page Range: | pp. 657-672 |
| Language: | English |
| Place of Publication: | Szeged |
| Related URLs: | http://acta.bibl.u-szeged.hu/41665/ |
| DOI: | 10.14232/actacyb.22.3.2016.7 |
| Uncontrolled Keywords: | Algoritmus, Programozás |
| Additional Information: | Bibliogr.: p. 671-672. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics 01. Natural sciences > 01.02. Computer and information sciences |
| Date Deposited: | 2017. Mar. 16. 13:45 |
| Last Modified: | 2022. Jun. 20. 13:32 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/40268 |
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