TITLE:
Extremal Problems Related to Dual Gauss-John Position
AUTHORS:
Tongyi Ma
KEYWORDS:
Dual Gauss-John Position, Optimization Theorem of John, Contact Pair
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.12,
December
26,
2018
ABSTRACT: In this paper, the extremal problem, min, 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: min. As an application, we give the geometric distance between the unit ball B2n and a centrally symmetric convex body K.