| 关于超平行体两类椭球为球的条件 |
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| 引用本文： | 刘旭飞,汪卫,冷岗松.关于超平行体两类椭球为球的条件[J].上海大学学报(自然科学版),2009,15(1):17-19. |
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| 作者姓名： | 刘旭飞 汪卫 冷岗松 |
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| 作者单位： | 上海大学 理学院，上海 200444 |
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| 摘 要： | 在凸体中，John椭球和新椭球是两类重要的椭球.就超平行体的John椭球是球和超平行体的新椭球是球分别给出一个充分必要条件.
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| 关 键 词： | 超平行体 超立方体 John椭球 新椭球 |
Conditions for Two Types of Ellipsoids of Parallelotope Being Ball |
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| 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),2009,15(1):17-19. |
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| Authors: | LIU Xu-fei WANG Wei LENG Gang-song |
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| Institution: | College of Sciences, Shanghai University, Shanghai 200444, China |
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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. |
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| Keywords: | parallelotope hypercube John ellipsoid new ellipsoid |
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