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What is Understanding Convex Sets and Cones about?

This document defines and provides examples of convex sets. It states that a set is convex if for any two points in the set, the line segment between them is also in the set. Examples of convex sets include subspaces, affine sets defined by linear inequalities, norm balls, ellipsoids, and single points. Convex cones are defined, which are sets closed under positive linear combinations. Common convex cones include the non-negative orthant and positive semi-definite cone. Affine sets are also introduced, whic

Author

jchill2018

Language

EN