Convex Optimization, Convex Sets, Convex Function, Convex Hull, Convexity.
segments lie inside the set. This is also true for any other line segment that you can come up with. Hence, these sets are called convex sets. Now, lets see some examples of non-convex sets. In the sets below, a portion of the line segment ‘a’ joining points x1 and x2 lies outside the set. This