Extremal Problems Related to Dual Gauss-John Position

Extremal Problems Related to Dual Gauss-John Position

论文摘要

In this paper, the extremal problem, min{?p(?K):o∈?K?L,?∈GL(n)}, of two convex bodies K and L in Rn is considered. For K to be in extremal position in terms of a decomposition of the identity, give necessary conditions together with the optimization theorem of John. Besides, we also consider the weaker optimization problem: 12 min{(?p(?K))p:?K?B2n,?K∩Sn-1≠?,?∈GL(n)}. As an application, we give the geometric distance between the unit ball 2 nB and a centrally symmetric convex body K.

论文目录

文章来源

类型: 国际会议

作者: Tongyi Ma

来源: Workshop 2 2019 2019-01-05

年度: 2019

分类: 基础科学

专业: 数学

单位: College of Mathematics and Statistics, Hexi University

分类号: O186.5

页码: 46-56

总页数: 11

文件大小: 1449k

下载量: 1

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