Generation of interior points and polyhedral representations of cones in $${\mathbb {R}}^N$$ R N cut by $${\varvec{M}}$$ M planes sharing a common point-Reference-Cited by-同舟云学术

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Generation of interior points and polyhedral representations of cones in $${\mathbb {R}}^N$$ R N cut by $${\varvec{M}}$$ M planes sharing a common point

Published:2015-11-02 Issue:1 Volume:83 Page:71-85
ISSN:1432-2994
Container-title:Mathematical Methods of Operations Research
language:en
Short-container-title:Math Meth Oper Res

Author:

Belyaev Alexander

Publisher

Springer Science and Business Media LLC

Subject

Management Science and Operations Research,General Mathematics,Software

Link

http://link.springer.com/content/pdf/10.1007/s00186-015-0520-2.pdf

Reference11 articles.

1. Agmon S (1954) The relaxation method for linear inequalities. Can J Math 6:382–392

2. Amanatides J (1984) Ray tracing with cones. In: Christiansen H (ed) Proceedings of the 11th annual conference on Computer graphics and interactive techniques (SIGGRAPH ’84), ACM, New York, pp 129–135

3. Chubanov S (2013) A polynomial projection algorithm for linear programming. Optim Online. http://www.optimization-online.org/DBHTML/2013/07/3948.html . Accessed 7 July 2013

4. Golub GH, Loan CFV (2013) Matrix computations. JHU Press, Baltimore

5. Ho C, Zimmerman S (2006) On the number of regions in an $$m$$ m -dimensional space cut by $$n$$ n hyperplanes. Gaz Aust Math Soc 33(4):260–264

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