Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416343 | Linear Algebra and its Applications | 2015 | 8 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Miroslav Fiedler,