polar cone

Hello, you have come here looking for the meaning of the word polar cone. In DICTIOUS you will not only get to know all the dictionary meanings for the word polar cone, but we will also tell you about its etymology, its characteristics and you will know how to say polar cone in singular and plural. Everything you need to know about the word polar cone you have here. The definition of the word polar cone will help you to be more precise and correct when speaking or writing your texts. Knowing the definition ofpolar cone, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.

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

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

Wikious
Boobota
Sagapedia