Several properties of new ellipsoids

SHEN Ya-jun;YUAN Jun

doi:10.1007/s10483-008-0716-y

Applied Mathematics and Mechanics >

2008 , Vol. 29 >Issue 7: 967 - 973

DOI: https://doi.org/10.1007/s10483-008-0716-y

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Several properties of new ellipsoids

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1. Department of Mathematics, Shanghai University,Shanghai 200444, P. R. China;
2. School of Mathematics and Computer Science, Nanjing Normal University,Nanjing 210097, P. R. China

Received date: 2007-07-06

Revised date: 2008-05-15

Online published: 2008-01-01

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Abstract

We first characterize a polytope whose new ellipsoid is a ball. Furthermore, we prove some properties for the operator Γ^_-2 and obtain some inequalities.

Key words： new ellipsoid; polytopes; monotonicity

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SHEN Ya-jun;YUAN Jun . Several properties of new ellipsoids[J]. Applied Mathematics and Mechanics, 2008 , 29(7) : 967 -973 . DOI: 10.1007/s10483-008-0716-y

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