On the spherical quasi-convexity of quadratic functions

Orizon Ferreira; Sandor Nemeth; Lianghai Xiao

doi:10.1016/j.laa.2018.10.011

On the spherical quasi-convexity of quadratic functions

Orizon Ferreira, Sandor Nemeth, Lianghai Xiao

Mathematics

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4 Citations (Scopus)

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Abstract

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 applications of the obtained results.

Original language	English
Pages (from-to)	205-222
Number of pages	18
Journal	Linear Algebra and its Applications
Volume	562
Early online date	17 Oct 2018
DOIs	https://doi.org/10.1016/j.laa.2018.10.011
Publication status	Published - 1 Feb 2019

Keywords

Sphere
Spherical quasi-convexity
Quadratic functions
Positive orthant

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AU - Nemeth, Sandor

AU - Xiao, Lianghai

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N2 - 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 applications of the obtained results.

AB - 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 applications of the obtained results.

KW - Sphere

KW - Spherical quasi-convexity

KW - Quadratic functions

KW - Positive orthant

U2 - 10.1016/j.laa.2018.10.011

DO - 10.1016/j.laa.2018.10.011

M3 - Article

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VL - 562

SP - 205

EP - 222

JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

ER -

On the spherical quasi-convexity of quadratic functions

Abstract

Keywords

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