A subset S of R n is an affine set if
for any x, y ∈ S and λ ∈ R. A function f: R n → R is an affine function if f is finite, convex and concave (cf. Convex max-functions).
See also: Linear space; Linear programming.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Rockafellar, R.T.: Convex analysis, Princeton Univ. Press, 1970.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Kluwer Academic Publishers
About this entry
Cite this entry
Pitsoulis, L. (2001). Affine Sets and Functions . In: Floudas, C.A., Pardalos, P.M. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/0-306-48332-7_6
Download citation
DOI: https://doi.org/10.1007/0-306-48332-7_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-7923-6932-5
Online ISBN: 978-0-306-48332-5
eBook Packages: Springer Book Archive