- Differential properties of Euclidean projection onto power cone Le Thi Khanh Hien (tkle1e.ntu.edu.sg) Abstract: In this paper, we study differential properties of Euclidean projection onto the power cone $K^{(p,q)}_n=\{(x,y,z)\in \mathbb{R}_+\times \mathbb{R}_+\times \mathbb{R}^n,\norm{z} \leq x^p y^q\}$, where $0< p,q < 1, p+q=1$. Projections onto certain power cones are examples of semismooth but non-strongly-semismooth projection onto a convex cone. Keywords: power cone; Euclidean projection; semismooth; Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization ) Citation: Division of Mathematical Sciences, School of Physical & Mathematical Sciences, Nanyang Technological University, Singapore 637371. Download: [PDF]Entry Submitted: 08/19/2014Entry Accepted: 08/19/2014Entry Last Modified: 08/19/2014Modify/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 Optmization Society.