On properties of di erent notions of centers for convex cones

@inproceedings{Henrion2010OnPO,
  title={On properties of di erent notions of centers for convex cones},
  author={Ren{\'e} Henrion and Alberto Seeger},
  year={2010}
}
The points on the revolution axis of a circular cone are somewhat special: they are the “most interior” elements of the cone. This paper addresses the issue of formalizing the concept of center for a convex cone that is not circular. Four distinct proposals are studied in detail: the incenter, the circumcenter, the inner center, and the outer center. The discussion takes place in the context of a reflexive Banach space. 
Highly Cited
This paper has 19 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 27 references

Normality and modulability indices. Part I: Convex cones in normed spaces

  • A. Iusem, A. Seeger
  • J. Math. Anal. Appl
  • 2008
Highly Influential
6 Excerpts

On the “most normal

  • R. Aubry, R. Löhner
  • normal. Comm. Numer. Meth. Eng
  • 2009
Highly Influential
3 Excerpts

Bases of convex cones and Borwein’s proper efficiency

  • D. M. Zhuang
  • J. Optim. Theory Appl
  • 1991
Highly Influential
2 Excerpts

Distances between closed convex cones: old and new results

  • A. Iusem, A. Seeger
  • J. Convex Anal
  • 2010
1 Excerpt

Similar Papers

Loading similar papers…