In this paper we study the spherical convexity of quadratic functions on spherically convex sets. In particular, conditions characterizing the spherical convexity of quadratic functions on spherical convex sets associated to the positive orthants and Lorentz cone are given.
|Journal||Journal of Global Optimization|
|Early online date||1 Oct 2018|
|Publication status||Published - 1 Oct 2019|
- Spheric convexity
- quadratic functions
- positive orthant
- Lorentz cone