Majorization in Euclidean Geometry and Beyond

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SYSNO ASEP	0433898
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Majorization in Euclidean Geometry and Beyond
Author(s)	Fiedler, Miroslav (UIVT-O)_{SAI, RID}
Source Title	Linear Algebra and Its Applications. - : Elsevier - ISSN 0024-3795 Roč. 466, 1 February (2015), s. 233-240
Number of pages	8 s.
Language	eng - English
Country	US - United States
Keywords	Majorization ; Doubly stochastic matrix ; Euclidean simplex ; Star ; Regular simplex ; Volume of a simplex
Subject RIV	BA - General Mathematics
Institutional support	UIVT-O - RVO:67985807
UT WOS	000347024400015
EID SCOPUS	84908374127
DOI	10.1016/j.laa.2014.10.015
Annotation	We relate the well known notion of majorization to the behavior of a pair of simplices in a Euclidean n-space. We obtain a geometrical meaning for the determinant of the involved doubly stochastic matrix. Independently, a basic theorem about volumes of simplices contained one in another, even if of different dimensions, is proved. Some related geometric questions are also presented.
Workplace	Institute of Computer Science
Contact	Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800
Year of Publishing	2015

Number of the records: 1