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Statements

Subject Item
n2:RIV%2F67985807%3A_____%2F15%3A00433898%21RIV15-AV0-67985807
rdf:type
skos:Concept n7:Vysledek
dcterms:description
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. 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.
dcterms:title
Majorization in Euclidean Geometry and Beyond Majorization in Euclidean Geometry and Beyond
skos:prefLabel
Majorization in Euclidean Geometry and Beyond Majorization in Euclidean Geometry and Beyond
skos:notation
RIV/67985807:_____/15:00433898!RIV15-AV0-67985807
n3:aktivita
n15:I
n3:aktivity
I
n3:cisloPeriodika
1 February
n3:dodaniDat
n9:2015
n3:domaciTvurceVysledku
n17:5742447
n3:druhVysledku
n13:J
n3:duvernostUdaju
n11:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
255
n3:idVysledku
RIV/67985807:_____/15:00433898
n3:jazykVysledku
n6:eng
n3:klicovaSlova
Majorization; Doubly stochastic matrix; Euclidean simplex; Star; Regular simplex; Volume of a simplex
n3:klicoveSlovo
n4:Volume%20of%20a%20simplex n4:Regular%20simplex n4:Majorization n4:Euclidean%20simplex n4:Star n4:Doubly%20stochastic%20matrix
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[53E1FC7C7340]
n3:nazevZdroje
Linear Algebra and Its Applications
n3:obor
n14:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:rokUplatneniVysledku
n9:2015
n3:svazekPeriodika
466
n3:tvurceVysledku
Fiedler, Miroslav
n3:wos
000347024400015
s:issn
0024-3795
s:numberOfPages
8
n12:doi
10.1016/j.laa.2014.10.015