Majorization in Euclidean Geometry and Beyond
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F15%3A00433898" target="_blank" >RIV/67985807:_____/15:00433898 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.laa.2014.10.015" target="_blank" >http://dx.doi.org/10.1016/j.laa.2014.10.015</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.laa.2014.10.015" target="_blank" >10.1016/j.laa.2014.10.015</a>
Alternative languages
Result language
angličtina
Original language name
Majorization in Euclidean Geometry and Beyond
Original language 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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Linear Algebra and Its Applications
ISSN
0024-3795
e-ISSN
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Volume of the periodical
466
Issue of the periodical within the volume
1 February
Country of publishing house
US - UNITED STATES
Number of pages
8
Pages from-to
233-240
UT code for WoS article
000347024400015
EID of the result in the Scopus database
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