About constructing a dual polyhedral cone in R3

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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
StatePublished - 10 Jul 2017
Event2017 Constructive Nonsmooth Analysis and Related Topics: dedicated to the Memory of V.F. Demyanov - Saint-Petersburg, Russian Federation
Duration: 22 May 201727 May 2017
http://www.mathnet.ru/php/conference.phtml?confid=968&option_lang=rus
http://www.pdmi.ras.ru/EIMI/2017/CNSA/

Conference

Conference2017 Constructive Nonsmooth Analysis and Related Topics
Abbreviated titleCNSA 2017
Country/TerritoryRussian Federation
CitySaint-Petersburg
Period22/05/1727/05/17
Internet address

Scopus subject areas

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

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