Given a C 2 L-smooth function the Lipschitz condition is: | | ∇ f (...
Given a L-smooth function the Lipschitz condition is:
Are these conditions only true for convex function? What will change If is and concave?
Answer & Explanation
This condition is completely independent of convexity. As long as we can connect any two points in your domain to be able to use the argument, the two conditions are equivalent for functions. This is true for convex domains. No assumption on is needed, apart from regularity.