English

On the spherical convexity of quadratic functions

Optimization and Control 2018-09-25 v3

Abstract

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 cones are given.

Keywords

Cite

@article{arxiv.1704.07665,
  title  = {On the spherical convexity of quadratic functions},
  author = {O. P. Ferreira and S. Z. Németh},
  journal= {arXiv preprint arXiv:1704.07665},
  year   = {2018}
}