Journal of Shanghai University(Natural Science Edition) ›› 2009, Vol. 15 ›› Issue (1): 17-19.
• Mathematics.Physics and Chemistry • Previous Articles Next Articles
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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:
O 186.5
LIU Xu-fei,WANG Wei,LENG Gang-song. Conditions for Two Types of Ellipsoids of Parallelotope Being Ball[J]. Journal of Shanghai University(Natural Science Edition), 2009, 15(1): 17-19.
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https://www.journal.shu.edu.cn/EN/Y2009/V15/I1/17