On the spherical convexity of quadratic functions

被引：10

作者：

Ferreira, O. P. ^{[1
]}

Nemeth, S. Z. ^{[2
]}

机构：

[1] Univ Fed Goias, IME, Ave Esperanca S-N,Campus Samambaia, BR-74690900 Goiania, Go, Brazil

[2] Univ Birmingham, Sch Math, Watson Bldg, Birmingham B15 2TT, W Midlands, England

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2019年 / 73卷 / 03期

关键词：

Spheric convexity; Quadratic functions; Positive orthant; Lorentz cone; SCALAR ASYMPTOTIC DERIVATIVES; FACILITY LOCATION; COMPLEMENTARITY THEORY; OPTIMIZATION; INVERSIONS; DUALITY; APPROXIMATION; ALGORITHM; MINIMAX; TENSOR;

D O I：

10.1007/s10898-018-0710-6

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper we study the spherical convexity of quadratic functions on spherically convex sets. In particular, conditions characterizing the spherical convexity of quadratic functions on spherical convex sets associated to the positive orthants and Lorentz cone are given.

引用

页码：537 / 545

页数：9

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