Encyclopedia of Operations Research and Management Science

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

Representation theorem for polyhedral set

  • Saul I. Gass
  • Carl M. Harris
Reference work entry
First Online:
DOI: https://doi.org/10.1007/1-4020-0611-X_881
How to cite

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.

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Saul I. Gass
    • 1
  • Carl M. Harris
    • 2
  1. 1.Robert H. Smith School of BusinessUniversity of MarylandCollege PartUSA
  2. 2.School of Information Technology & EngineeringGeorge Mason UniversityFairfaxUSA