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.

引用

页数：14

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