About constructing a dual polyhedral cone in R3

Research output

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 languageEnglish
Title of host publication2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings
EditorsL. N. Polyakova
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509062607
DOIs
Publication statusPublished - 10 Jul 2017
Event2017 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 201726 May 2017
http://www.pdmi.ras.ru/EIMI/2017/CNSA/

Conference

Conference2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017
Abbreviated titleCNSA 2017
CountryRussian Federation
CitySaint-Petersburg
Period21/05/1726/05/17
Internet address

Fingerprint

Dual Cone
Polyhedral Cones
Convex Cone
Cones
Householder Transformation
Convex Hull
Acute
Face

Scopus subject areas

  • Modelling and Simulation
  • Analysis
  • Applied Mathematics
  • Control and Optimization

Cite this

Polyakova, L., Popova, M., & Karelin, V. (2017). About constructing a dual polyhedral cone in R3. In L. N. Polyakova (Ed.), 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings [7974006] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CNSA.2017.7974006
Polyakova, Lyudmila ; Popova, Marina ; Karelin, Vladimir. / About constructing a dual polyhedral cone in R3. 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. editor / L. N. Polyakova. Institute of Electrical and Electronics Engineers Inc., 2017.
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Polyakova, L, Popova, M & Karelin, V 2017, About constructing a dual polyhedral cone in R3. in LN Polyakova (ed.), 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings., 7974006, Institute of Electrical and Electronics Engineers Inc., Saint-Petersburg, 21/05/17. https://doi.org/10.1109/CNSA.2017.7974006

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

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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.

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M3 - Conference contribution

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Polyakova L, Popova M, Karelin V. About constructing a dual polyhedral cone in R3. In Polyakova LN, editor, 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2017. 7974006 https://doi.org/10.1109/CNSA.2017.7974006