polar cone

English
A set C and its polar cone Co.

Noun

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
  • (set of points): dual cone

References
  • 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.

Further reading
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