On the spherical quasi-convexity of quadratic functions

2018/04/09 by Ferreira, O. P., Németh, S. Z., Xiao, L.
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1804.02907

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.

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