Encyclopedia of Operations Research and Management Science

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

Pivot element

Reference work entry
DOI: https://doi.org/10.1007/1-4020-0611-X_758

In the simplex method, the coefficient of the pivot column whose row index corresponds to the basic variable that is to be dropped from the basis. Also, the element of the pivot column in a Gaussian elimination step that is selected to be on the diagonal of the associated upper triangular matrix. Etavector; Gaussian elimination; Matrices and matrix algebra; Pivot column; Pivot row; Simplex method.

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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