- Epigraphical cones II Alberto Seeger(alberto.seegeruniv-avignon.fr) Abstract: This is the second part of a work devoted to the theory of epigraphical cones and their applications. A convex cone $K$ in the Euclidean space $\mathbb{R}^{n+1}$ is an epigraphical cone if it can be represented as epigraph of a nonnegative sublinear function $f: \mathbb{R}^n\to \mathbb{R}$. We explore the link between the geometric properties of $K$ and the analytic properties of $f$. Keywords: Convex cone, epigraphical cone, sublinear function, smoothness, rotundity, Vinberg characteristic function, conic programming Category 1: Linear, Cone and Semidefinite Programming Citation: JOURNAL OF CONVEX ANALYSIS, 2011, in press. Download: [PDF]Entry Submitted: 01/21/2011Entry Accepted: 01/21/2011Entry Last Modified: 01/21/2011Modify/Update this entry Visitors Authors More about us Links Subscribe, Unsubscribe Digest Archive Search, Browse the Repository Submit Update Policies Coordinator's Board Classification Scheme Credits Give us feedback Optimization Journals, Sites, Societies Optimization Online is supported by the Mathematical Programming Society.