In this paper, a description of the John contact points of a regular simplex was given. It was prove that the John ellipsoid of any simplex is ball ff and only ff this simplex is regular and that the John ellipsoid of...In this paper, a description of the John contact points of a regular simplex was given. It was prove that the John ellipsoid of any simplex is ball ff and only ff this simplex is regular and that the John ellipsoid of a regular simplex is its inscribed ball.展开更多
基金Project supported by National Natural Science Foundation ofChina (Grant No .10271071) Youth Science Foundation ofShanghai (Grant No .214511)
文摘In this paper, a description of the John contact points of a regular simplex was given. It was prove that the John ellipsoid of any simplex is ball ff and only ff this simplex is regular and that the John ellipsoid of a regular simplex is its inscribed ball.
