Encyclopedia of Operations Research and Management Science

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

Gordan's theorem

Reference work entry
DOI: https://doi.org/10.1007/1-4020-0611-X_395

Let Av be an m × n matrix, then exactly one of the following systems has a solution: (i) Axv < 0 or (ii) AvTyv = 0, y0, yv ≠ 0.

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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