polar cone

Definition from Wiktionary, the free dictionary
Jump to navigation Jump to search


A set C and its polar cone Co.


polar cone (plural polar cones)

  1. (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]


  • 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]