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.
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.
Original language | English |
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Pages (from-to) | 1085-1105 |
Number of pages | 21 |
Journal | Journal of Optimization Theory and Applications |
Volume | 199 |
Issue number | 3 |
Early online date | 9 Nov 2023 |
DOIs | |
Publication status | Published - 1 Dec 2023 |
Keywords
- 90C26
- 90C30
- Convex cone
- Convex function
- Convex set
- Hyperbolic space
- Non-homogeneous quadratic function