Advanced Search

Question: purpose second order cone constraint.

Question:purpose second order cone constraint.

MrMarc 3163 Maple
optimization cone
March 21 2011
0
This question is related to the Question So Robert, how can we solve the below problem

what I dont understand is the purpose of the second order cone constraint.

The definition is: The first element must be at least as large as the Euclidean
norm of the remaining elements. The euclidean norm for R^3 is the distance from
origo to the point [x,y,z] due to pythagores theorm ie A^2+B^2=C^2 where
C is the distance from origio to the point[x,y,z]

Again for R^3 then we have [x,y,z] then x > the euclidean norm for (y,z) which
means that x> sqrt(y^2+z^2). What does this mean?

Clearly sqrt(y^2+z^2) is a cone if you plot it. So is x constrained to be inside the
cone?  and why is that. I mean what is the purpose of that?
Please Wait...