How do the CVX convert LASSO into Quadratic programming problem

Excuse me. I have two questions about CVX.

• Why we cannot choose initial-point in CVX?

I already know that I cannot choose the initial-point in CVX.
Initial guess for convex program

However, I want to compare the result, when I change the initial-point.

• How do the CVX convert LASSO into Convex quadratic programing problem?

Probably, the CVX convert the evaluation function into linear programing or quadratic programing. Is it correct?

I’m not sure what is being asked here. But since convex optimization problems have only one (possibly empty) convex set of optimal points, it doesn’t matter what the initial point is.