Journal of Shanghai University(Natural Science Edition) ›› 2009, Vol. 15 ›› Issue (1): 17-19.

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

Conditions for Two Types of Ellipsoids of Parallelotope Being Ball

  

  1. College of Sciences, Shanghai University, Shanghai 200444, China
  • Online:2009-02-21 Published:2009-02-21

Abstract:

John ellipsoid and new ellipsoid are two types of important ellipsoids in convex bodies. In this paper, a necessary and sufficient condition for each of the two types of ellipsoids of the parallelotope being a ball is given.

Key words: parallelotope; hypercube; John ellipsoid; new ellipsoid

CLC Number: