In linear algebra, a power cone is a kind of a convex cone that is particularly important in modeling convex optimization problems.
[1][2] It is a generalization of the quadratic cone: the quadratic cone is defined using a quadratic equation (with the power 2), whereas a power cone can be defined using any power, not necessarily 2.
The n-dimensional power cone is parameterized by a real number
0 < r < 1
{\displaystyle 0 . It is defined as:[1] := n 1 An alternative definition is The main application of the power cone is in constraints of convex optimization programs. There are many problems that can be described as minimizing a convex function over a power cone. This geometry-related article is a stub. You can help Wikipedia by expanding it.