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Understanding Normal Cones in Optimization by Caporal Fourrier is a document available to read on EtoBox.
What is Understanding Normal Cones in Optimization about?
Chapter 10 discusses normal cones, defining the normal cone NC(x) for a nonempty subset C at a point x in X, and establishes its properties, including that it is a closed convex cone. It presents a proposition showing that for any x in a convex set C, NC(x) equals the subdifferential of the indicator function of C at x. The chapter also relates normal cones to optimization problems, specifically in the context of minimizing a function subject to constraints defined by the set C.
- Author
- Caporal Fourrier
- Language
- EN