John, F. (1948) Extremum Problems with Inequalities as Subsidiary Conditions. Studies and Essays Presented to R. Courant on His 60th Birthday, January 8, 1948, Interscience Publishers, Inc., New York, 187-204.

has been cited by the following article:

• 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.