A nonsingular square matrix Bv obtained by selecting linearly independent columns of a full row rank matrix A.v The matrix Bv is then a basis matrix for the system Axv = b.v The components of xv associated with Bv are called the basic variables, and the remaining components are called the nonbasic variables. The term basis also refers to the set of indices of the basic variables. Basic variables.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsAuthor information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Kluwer Academic Publishers
About this entry
Cite this entry
Gass, S.I., Harris, C.M. (2001). Basis. In: Gass, S.I., Harris, C.M. (eds) Encyclopedia of Operations Research and Management Science. Springer, New York, NY. https://doi.org/10.1007/1-4020-0611-X_61
Download citation
DOI: https://doi.org/10.1007/1-4020-0611-X_61
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-7923-7827-3
Online ISBN: 978-1-4020-0611-1
eBook Packages: Springer Book Archive