On the projection onto a finitely generated cone
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 cal...
Elmentve itt :
| Szerző: | |
|---|---|
| Dokumentumtípus: | Cikk |
| Megjelent: |
2016
|
| Sorozat: | Acta cybernetica
22 No. 3 |
| Kulcsszavak: | Algoritmus, Programozás |
| Tárgyszavak: | |
| doi: | 10.14232/actacyb.22.3.2016.7 |
| Online Access: | http://acta.bibl.u-szeged.hu/40268 |
| LEADER | 01324nab a2200241 i 4500 | ||
|---|---|---|---|
| 001 | acta40268 | ||
| 005 | 20220620133229.0 | ||
| 008 | 170316s2016 hu o 0|| eng d | ||
| 022 | |a 0324-721X | ||
| 024 | 7 | |a 10.14232/actacyb.22.3.2016.7 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Ujvári Miklós | |
| 245 | 1 | 3 | |a On the projection onto a finitely generated cone |h [elektronikus dokumentum] / |c Ujvári Miklós |
| 260 | |c 2016 | ||
| 300 | |a 657-672 | ||
| 490 | 0 | |a Acta cybernetica |v 22 No. 3 | |
| 520 | 3 | |a 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. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 650 | 4 | |a Számítás- és információtudomány | |
| 695 | |a Algoritmus, Programozás | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/40268/1/actacyb_22_3_2016_7.pdf |z Dokumentum-elérés |