The theory that develops differential calculus for functions that are not differentiable in the usual sense.
Questions tagged [non-smooth-analysis]
91 questions
3
votes
1 answer
Relationship between Clarke-subdifferential $\partial_{C}f(\, \cdot \,)$ and Bouligand-subdifferential $\partial_{B}f(\, \cdot \,)$
Let $f: \mathbb{R}^{n} \rightarrow \mathbb{R}$ be locally Lipschitz sontinuous.
(1) The Clarke-subdifferential $\partial_{C} f(x) \subset \mathbb{R}^{n}$ of $f$ in $x \in \mathbb{R}^{n}$ is defined by
\begin{equation*}…
mathsstudentTUD
- 527
0
votes
1 answer
How to find the subdifferential of $|x|$?
I want to compute the subdifferential of $ f $ on $ \mathbb{R} \setminus \{ 0 \} $ when $ f(x) = |x| $. How do I do this?
salar_ve
- 49