Encyclopedia of Operations Research and Management Science

2001 Edition
| Editors: Saul I. Gass, Carl M. Harris

Representation theorem for polyhedral set

Reference work entry
DOI: https://doi.org/10.1007/1-4020-0611-X_881
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Given a nonempty polyhedral set S, then a point X is in S if and only if X can be expressed as a convex combination of the set's extreme points plus a non-negative combination of its extreme directions.

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© Kluwer Academic Publishers 2001

Authors and Affiliations

  1. 1.Robert H. Smith School of BusinessUniversity of MarylandCollege PartUSA
  2. 2.School of Information Technology & EngineeringGeorge Mason UniversityFairfaxUSA