polar cone
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English
[edit]![](http://upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Polar_cone_illustration1.svg/220px-Polar_cone_illustration1.svg.png)
Noun
[edit]polar cone (plural polar cones)
- (linear algebra) Relative to a set S in Rn, the set of points y such that the inner product of x and y is not positive for any point x in S.
- Since a is in S and b is in So — the polar cone of S — we know that aT b ≤ 0.
See also
[edit]- (set of points): dual cone
References
[edit]- Vince A. Sposito and H. T. David, "A Note on Farkas Lemmas Over Cone Domains", SIAM Journal on Applied Mathematics, Vol. 22, No. 3. (May, 1972), pp. 356-358. [1]
Further reading
[edit]Dual cone and polar cone on Wikipedia.Wikipedia