Short note on some geometric inequalities derived from matrix inequalities

被引：0
|
作者：
Lombardi, Nico [1 ]
Gomez, Eugenia Saorin [2 ]
机构：
[1] Vienna Univ Technol, Inst Discrete Math & Geometry, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria
[2] Univ Bremen, ALTA Inst Algebra, Geometry Topol & Their Applicat, D-28334 Bremen, Germany
来源：
POSITIVITY | 2024年 / 28卷 / 02期
关键词：
Positive semidefinite matrices; Determinant; Ellipsoids; Projection; L-2; zonoids; MIXED DISCRIMINANTS;
D O I：
10.1007/s11117-024-01042-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using the connection between ellipsoids and positive semidefinite matrices we provide alternative proofs to some recently proven inequalities concerning the volume of L-2 zonoids as consequences of classical inequalities for matrices.
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页数：14
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