Question

Hy !
Can anyone help me with this problem :
min x1 st: x1^2 + x2^2 <=4
It's this problem convex ?

Answer 1

That is the equation for a circle of radius 2 and centered at the origin. Let y=X1 and X=x1 and r=2 then graph the relationship. In order to have it be convex, you must limit the set of values taken by y=x1 to all positive values?

Answer 2

yes

Answer 3

It's a minimization problem

Answer 4

\[\min x _{1} ;st: x _{1} ^{2} + x _{2}^{2}\le 4 \]