On the spherical quasi-convexity of quadratic functions

作     者：Ferreira, O. P. Nemeth, S. Z. Xiao, L. 

作者机构：IME UFG Ave Esperanca S-NCampus 2 BR-74690900 Goiania Go Brazil Univ Birmingham Sch Math Watson Bldg Birmingham B15 2TT W Midlands England 

出 版 物：《LINEAR ALGEBRA AND ITS APPLICATIONS》 (线性代数及其应用)

年 卷 期：2019年第562卷

页      面：205-222页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：302473/2017-3 408151/2016-1 FAPEG/PRONEM-201710267000532 

主　　题：Sphere Spherical quasi-convexity Quadratic functions Positive orthant 

摘      要：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. (C) 2018 Elsevier Inc. All rights reserved.