Convexity of Non-homogeneous Quadratic Functions on the Hyperbolic Space

Author:

Ferreira Orizon P.,Németh Sándor Z.ORCID,Zhu Jinzhen

Abstract

AbstractIn 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.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Reference20 articles.

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5. Ferreira, O.P., Németh, S.Z., Zhu, J.: Convexity of sets and quadratic functions on the hyperbolic space. J. Optim. Theory Appl. (2022). https://doi.org/10.1007/s10957-022-02073-4

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