Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 2, Pages 238–253 (Mi zvmmf701)  
This article is cited in 3 scientific papers (total in 4 papers)

On families of hyperplanes that separate polyhedra

A. I. Golikov, Yu. G. Evtushenko, S. Ketabchi

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
Full-text PDF (2099 kB) Citations (4)
References:
PDF
HTML
Abstract: The problem of constructing a family of hyperplanes that separate two disjoint nonempty polyhedra is examined. the polyhedra are given by systems of linear inequalities or by systems of linear equalities with nonnegative variables. constructive algorithms for solving this problem are presented. the construction of separating hyperplanes relies heavily on theorems of the alternative.
Key words: theorems of alternative hyperplanes that separate two given polyhedra.
Received: 19.08.2004
Revised: 20.09.2004
Bibliographic databases:
Document Type: Article
UDC: 519.853.6
Language: Russian
Citation: A. I. Golikov, Yu. G. Evtushenko, S. Ketabchi, “On families of hyperplanes that separate polyhedra”, Zh. Vychisl. Mat. Mat. Fiz., 45:2 (2005), 238–253; Comput. Math. Math. Phys., 45:2 (2005), 227–242
Citation in format AMSBIB
\Bibitem{GolEvtKet05}
\by A.~I.~Golikov, Yu.~G.~Evtushenko, S.~Ketabchi
\paper On families of hyperplanes that separate polyhedra
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 2
\pages 238--253
\mathnet{http://mi.mathnet.ru/zvmmf701}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2158665}
\zmath{https://zbmath.org/?q=an:1100.14041}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 2
\pages 227--242
Linking options:
  • https://www.mathnet.ru/eng/zvmmf701
  • https://www.mathnet.ru/eng/zvmmf/v45/i2/p238
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024