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arxiv: 1804.02907 · v1 · submitted 2018-04-09 · 🧮 math.OC

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On the spherical quasi-convexity of quadratic functions

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keywords sphericalfunctionsquadraticquasi-convexityconditionsapplicationcharacterizingconvex
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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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