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Majorization in Euclidean Geometry and Beyond
- 1.0433898 - ÚI 2015 RIV US eng J - Journal Article
Fiedler, Miroslav
Majorization in Euclidean Geometry and Beyond.
Linear Algebra and Its Applications. Roč. 466, 1 February (2015), s. 233-240. ISSN 0024-3795. E-ISSN 1873-1856
Institutional support: RVO:67985807
Keywords : Majorization * Doubly stochastic matrix * Euclidean simplex * Star * Regular simplex * Volume of a simplex
Subject RIV: BA - General Mathematics
Impact factor: 0.965, year: 2015
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.
Permanent Link: http://hdl.handle.net/11104/0238061
Number of the records: 1