- Title
- Facially exposed cones are not always nice
- Creator
- Roshchina, Vera
- Date
- 2014
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/45453
- Identifier
- vital:5883
- Identifier
-
https://doi.org/10.1137/130922069
- Identifier
- ISSN:1052-6234
- Abstract
- We address the conjecture proposed by Gábor Pataki that every facially exposed cone is nice. We show that the conjecture is true in the three-dimensional case; however, there exists a four-dimensional counterexample of a cone that is facially exposed but is not nice.
- Publisher
- Society for Industrial and Applied Mathematics Publications
- Relation
- SIAM Journal on Optimization Vol. 24, no. 1 (2014), p. 257-268
- Rights
- © 2014, Society for Industrial and Applied Mathematics
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; Facially exposed cone; Nice cone; Pataki's conjecture; Software engineering; Nice cones; Computer science
- Full Text
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