subgradient of composition

520 Views Asked by At

Are there general rules or references of subgradient of composition? For example, consider the composition $f(x)=h(g(x))$ where $h$ is convex nondecreasing and $g$ is convex, then the subgradient of $f$ can be computed as in slide 15. However, what if $h$ is concave nondecreasing?