On the spherical convexity of quadratic functions

O. P. Ferreira () and S. Z. Németh ()
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O. P. Ferreira: IME/UFG, Avenida Esperança, s/n, Campus Samambaia
S. Z. Németh: University of Birmingham

Journal of Global Optimization, 2019, vol. 73, issue 3, No 4, 537-545

Abstract: 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 cone are given.

Keywords: Spheric convexity; Quadratic functions; Positive orthant; Lorentz cone (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10898-018-0710-6

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