Greetings CVX Community:

My Optimization problem is as follow

I know that problem is CONVEX, I am not able to formulate the problem in CVX.

Can anybody help?

# Shortest Distance between three vertices of cones

How do you know the constraint is convex?

It is a canonical region ( Cones ).

r and theta are constants

Please provide your proof that it is convex, not a vague statement about cones.

Each constraint of the three constraints is a norm cones ( Second order Cones) which is by default Convex, do you need a mathematical proof for its convexity ?

Please show me the formulation as a second order cone. If it really is a second order cone, it should be easy to enter into CVX.

If it were just `z^2`

on the RHS with `z >= 0`

, this could be entered as `norm([x-xn y-yn]) <= z `

.If the values of `r`

and `theta`

are such that you are willing to impose

`(z-r*cot(theta))*tan(theta)`

>= 0, then you are all set (or always <= 0, in which case reverse the sign of the LHS); otherwise, not.