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.
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References
Rockafellar, R.T.: Convex analysis, Princeton Univ. Press, 1970.
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© 2001 Kluwer Academic Publishers
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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
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DOI: https://doi.org/10.1007/0-306-48332-7_6
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