English

On the spherical quasi-convexity of quadratic functions

Optimization and Control 2018-04-10 v1

Abstract

In this paper the spherical quasi-convexity of quadratic functions on spherically convex sets is studied. Several conditions characterizing the spherical quasi-convexity of quadratic functions are presented. In particular, conditions implying spherical quasi-convexity of quadratic functions on the spherical positive orthant are given. Some examples are provided as an application of the obtained results.

Keywords

Cite

@article{arxiv.1804.02907,
  title  = {On the spherical quasi-convexity of quadratic functions},
  author = {O. P. Ferreira and S. Z. Németh and L. Xiao},
  journal= {arXiv preprint arXiv:1804.02907},
  year   = {2018}
}