On the projection onto a finitely generated cone

Ujvári Miklós: On the projection onto a finitely generated cone. In: Acta cybernetica, (22) 3. pp. 657-672. (2016)

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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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