Convexity of Non-homogeneous Quadratic Functions on the Hyperbolic Space

Orizon P. Ferreira (), Sándor Z. Németh () and Jinzhen Zhu ()
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Orizon P. Ferreira: Universidade Federal de Goiás
Sándor Z. Németh: University of Birmingham
Jinzhen Zhu: University of Birmingham

Journal of Optimization Theory and Applications, 2023, vol. 199, issue 3, No 9, 1085-1105

Abstract: Abstract In this paper, some concepts related to the intrinsic convexity of non-homogeneous quadratic functions on the hyperbolic space are studied. Unlike in the Euclidean space, the study of intrinsic convexity of non-homogeneous quadratic functions in the hyperbolic space is more elaborate than that of homogeneous quadratic functions. Several characterizations that allow the construction of many examples will be presented.

Keywords: Hyperbolic space; Convex cone; Convex set; Convex function; Non-homogeneous quadratic function; 90C30; 90C26 (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-023-02332-y

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