Abstract
The problem of constructing a dual cone of a convex polyhedral cone arises in many mathematical and applied researches. In the paper the method of constructing the dual cone to the acute convex polyhedral cone in R3 is proposed. The Householder transformation, creating a convex hull on the plane and projecting the point lying on the z-axis onto a corresponding face are the basic operations which we used.
| Original language | English |
|---|---|
| Title of host publication | 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings |
| Editors | L. N. Polyakova |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| ISBN (Electronic) | 9781509062607 |
| DOIs | |
| Publication status | Published - 10 Jul 2017 |
| Event | 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017: dedicated to the Memory of V.F. Demyanov - Saint-Petersburg Duration: 21 May 2017 → 26 May 2017 http://www.pdmi.ras.ru/EIMI/2017/CNSA/ |
Conference
| Conference | 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 |
|---|---|
| Abbreviated title | CNSA 2017 |
| Country | Russian Federation |
| City | Saint-Petersburg |
| Period | 21/05/17 → 26/05/17 |
| Internet address |
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Scopus subject areas
- Modelling and Simulation
- Analysis
- Applied Mathematics
- Control and Optimization
Cite this
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About constructing a dual polyhedral cone in R3. / Polyakova, Lyudmila; Popova, Marina; Karelin, Vladimir.
2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. ed. / L. N. Polyakova. Institute of Electrical and Electronics Engineers Inc., 2017. 7974006.Research output
TY - GEN
T1 - About constructing a dual polyhedral cone in R3
AU - Polyakova, Lyudmila
AU - Popova, Marina
AU - Karelin, Vladimir
PY - 2017/7/10
Y1 - 2017/7/10
N2 - The problem of constructing a dual cone of a convex polyhedral cone arises in many mathematical and applied researches. In the paper the method of constructing the dual cone to the acute convex polyhedral cone in R3 is proposed. The Householder transformation, creating a convex hull on the plane and projecting the point lying on the z-axis onto a corresponding face are the basic operations which we used.
AB - The problem of constructing a dual cone of a convex polyhedral cone arises in many mathematical and applied researches. In the paper the method of constructing the dual cone to the acute convex polyhedral cone in R3 is proposed. The Householder transformation, creating a convex hull on the plane and projecting the point lying on the z-axis onto a corresponding face are the basic operations which we used.
UR - http://www.scopus.com/inward/record.url?scp=85027469050&partnerID=8YFLogxK
U2 - 10.1109/CNSA.2017.7974006
DO - 10.1109/CNSA.2017.7974006
M3 - Conference contribution
AN - SCOPUS:85027469050
BT - 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings
A2 - Polyakova, L. N.
PB - Institute of Electrical and Electronics Engineers Inc.
ER -